”II III Iz-m yr... IKI1I ItsMII _:_fi_:_::____ _ ‘1 }fi(\‘i‘uifloopom .5 mm. mm. ow. Hm. m.m m.m N.m H.m DOW £94.“: Cowpommwflpww .0 om. om. mm. H.H w.m o.N o.m w.m mamoo ho>o oesozamcH m.opm:flvuoasw .m co. we. an. on. w.m m.m n.m w.m :oflpmfioomm< pamzomuoocwshowhom .v mm. mm. mm. ow. m.m n.m v.m o.m om: wawzoh :owpmpcowho .m mm. NV. we. we. o.m o.m o.m w.m oocm>oaom mam prhmau Hmou .N mm. mu. mm. mm. m.m m.m N.m H.m magmaowpmfiom oumnfiwaondmuhoflwomsm .H mm Hm N< H< mm Hm N< H< moawom mcofiumfl>oo pudendum mama: m SHAW @:m < SHAME .HOM ohfiwccoflumosd mo COfipMHpmficflEw< vacuum paw umhflm How mcofiumfi>oo pumwcmHm mam mane: u|.mum oanwb 14 Table 2-6.-- Reliabilities of Seven Scales Internal Change Score Reliabilitya Reliabilityc Scale rxx rx_x Firm Ab Firm B Firm A Firm B 1. Superior-Subordinate Relationship .96 .94 .94 .90 2. Goal Clarity and Relevance .90 .80 .87 .60 3. Orientation Toward MBO .80 .84 .50 .50 4. Performance—Reward Association .84 .70 .68 .25 5. Subordinate's Influence Over Goals .75 .72 .50 .50 ,/ 6. Satisfaction With Job .58 .59 .35 .13 7. Success in Attaining Goals .65 .57 .30 .13 aCoefficient alpha scale reliabilities. bChesser, page 47. cSee formula on page 15. V fl; v».- _,_, v.6»! 1 ,'.Z' . 1 ID.-. 1" I.b I 15 The change score reliability is sensitive to changes in the internal reliability as well as the test—retest correlation of the scales. Change score reliabilities are calculated using this formula: r11 * r22 ' r12 = 2 rdd 1 ‘ r12 where: r = reliability of change score r11 = internal reliability of scale at Time 1 r22 = internal reliability of scale at Time 2 r = correlation of the scale between Time 1 and Time 2 (McNemar, p. 157) (fimen that the internal reliabilities for the scales are adequate (approximately .60 or better), the test-retest scale correlation is the key variable in the calculation of the change score reliability. If there are no sabstantial changes in the scales between the administra- timug then the correlation between the scales will approach the internal scale reliability as a limit. That is, a.high test-retest correlation nmans that real change on that variable is negligible. In the replica- thng three of the seven scales have a change score reliability of .25 (u'less. These same three scales also have the lowest internal relia- lfllities (eaCh of these scales has four or less items). One objective mfthe revised research model presented below is to increase the number mfitems in each scale and thereby increase the reliabilities. . t . ; '( ..I.l : M .5 h . to» -n. O J 8-0. u‘: . . . ‘0... . neg... 'uc' 16 Correlational Data for Replication Study The correlational data which resulted from the replication study is found in Table 2-7, page 17. The legend at the lower right corner of that page provides a guide for the location of relevant matrices. Static Corre lations There are two matrices in Table 2-7 which contain "static corre- lations," i.e., the Pearson Product-Moment correlations between the seven scales of the model at a single point in time. One matrix is the set of correlations between the variables at the time of the first administra- tion ("time 1 static correlations"). The second matrix is the set of correlations between the variables at the time of the second administra- tion ("time 2 static correlations"). These matrices may be compared in order to note the similarities of the correlations (magnitudes and signs) at each administration, i.e., the stability of the static corre- lations across time. As expected in this data, the pattern of static correlations was very similar for the Firm B managers during both administrations . There is also important information contained within each matrix individually. These matrices show remarkable consistency between variables in both time periods. For example, Job Satisfaction and the SUperior—Subordinate Relationship are positively and significantly correlated (time 1, r-_-.37, p < .01 and time 2, r=.36, p < .01). The correlations shown in the static correlation matrices are necessarily r ). That is, the static correlation is used to 1X6= x6xl Specify the degree of relationship between two variables. The static Symmetri cal (rX correlation would be exactly the same when either of those two variables fihflfi'ahU “thunk-huh!!! uvmnhduu nfihV iUFNnN F a“ Iu-| u \ till ||\. -NI OVN‘fll‘IP an pupal d A. :- avuh d 'VIVAUIL navVl- I! rhfittfiw- 9.9 I ah ha." nape) at“... cv-n y mi 1 “NH run: quit I. W pry-Li Harv «hall fiVrlvHrba '0. an. nuns-I< Iva-II i104” I Q I yin-n. iiV filti.lAiHVal. IIRb. IIVIN bml IIIQIIIII< ulnhll. ‘NI lib-HE I‘NVI‘ IIUTIV .‘II Elhhl‘ AHPV‘NIV~IIVI~LLVATVI\V Fifty-Audit. IIII‘ O..- 17 oHEmcmn uommaH uHumum vowwmA-umouo «N. u Hm>oH Ho. uommEH vmwmmA-mnouo oHumum mg. n Hm>oa no. Hozmoma up we msHm> ucNUHMHame ocH mH- HH vH N- m- H- Hm H oH HH NH H- sH He- «H v H- NA e NH HN mH- oaH v vN NH oH mm NH- we H- o N- H n n cm- m- eH- mH- NH- He- 6N HH c oH va- H- RN mm m m XNm o mu N- N- a- H- Mn- a- ,m- -nwu1mnn:11aa: eH «N VH OOH 0N HH Hm oH mN n we m A HN n H H- Hq- HH- n- NH- NH N- NH H- .oN ocH eH NH oH oH s- HH «e m HH NH N- N- H- mm- 3H- N- NH m- 0H NN HH VH ccH Ne :H NN «am «H1 «H av-Ime- mH- H m- M. m nm- aw- nan H- A» nN He NH oe 30H 0 SN .H DH H NN e. 3H m- NH- .H. H. \N- Hs- mH Hu N.. n OH CH CH w osH o H- HN Hm «N Na Hm mH e- A HN H. mm ea. H me m mm- CH NN, an Xe an m mv.ldN- NH .HW-Afi: Nm - N- NH a- -n NH OH H- mm m o- mN VH H- e ocH HH QH- m H oH- m ma m a. sN- mH- NH HH 6 a we HH OH oH HN me HH 09H on on mm DH an H OH NH .HH Hm HH 0. m- m- m av «H H Hm Hm» GH- 0&1 mad Nm- me NH Nn- m- 63 he an a. .IIdH: H- H N- H m 0. MN VN HH n on He OHH om ON OH A He om av NN m 0H a N- HN HH AH ea n» on H am we or QHH 3N m e m. OH 4H A. N N.- m N- m - NH AHT-aH (Hm c aH-xaH NH- 0N. aw amH N an a m a A slai- oH om- H H N- n N- NH Nm m um NN oH Nm N 09H v mm mm HH an o v m- Hm- NH- N- m- NH- a- N- an H m- N V n- a c-H NH N NH SH m .- aH- e- He- H- H -aH- N [NN a .Na- am Hm mm min mm NH 34H NH NN we a No NH- m- HH- mn- m o- ¢N NH v- N» as on em m an N we oHH NH H? m e mH- mN- mu OH- nm- mm: ”H o- om- NH vN cc Hm a HH NH NN mm 29H «m m NH HN- mN- cH- N- vm- Ha- pm- a mH- nmi mm- Na ha a NM hH mm. H- am H.H H Ho an 3 A; NH A; .3 3- .HH NH HT NH .3 1m A a A. .- m N H H 05.2. .- N 05.3. . N ofiwb H GEM-H thHucu whommcwz m Ehwm How mono: condoned onow Go>om one cw Aw oswh - H oswhu mohoow omcnau paw-.AN oEMBV mmhoom cowumhumwcwfiv< caboom «AH ofiwhv mohoom CONHNHpmeHEv< umuwm ozu Mom moowhumz :owumaohhou -.m-N ofinwh '" no . "‘il In. a \; 1:.- ..u y. o ‘9 Io- “. nu ‘0...- 5.3.1: 5 u N V3“ "531- 17 is used as the predictor and the other the predicted variable. The net result of this is that the off-diagonals of the static correlation matrix are "reflections" of each other, i.e., symmetrical. Dynamic Correlations The lower right-hand matrix found in Table 2-7 contains the "dynamic correlations" or the Pearson Product-Moment correlations between change scores in the system variables. These change scores are calculated by subtracting the time 1 score from the time 2 score (i.e., change score = time 2 score — time 1 score). As in the static correla- tion matrices, the dynamic correlation matrices, the dynamic correlations are necessarily symmetric about the diagonal. The dynamic correlations are used in this study to determine the significant relationships between changes in the system variables. Using the same variables as before--Job Satisfaction and Superior- Subordinate Relationship-~it can be seen that there is a significant dynamic correlation (r = .35, p < .01) between Changes in Job Satisfac- tion (variable 20 in the table) and Changes in Superior-Subordinate Relationship (variable 15 in the table). This dynamic correlation Suggests that Changes in Job Satisfaction are related to Changes in Superior-Subordin ate Re lationship . grgss-Lagged Correlations There are two sections of Table 2—7 which contain the "cross- lagged" correlations. These cross-lagged correlations are Pearson Product-Moment correlations between the system variables at time 1 and time 2. 18 The diagonals of this matrix are the test-retest correlations for the MBO variables. If there were no real change, then this correla- tion would be an estimate of the reliability for each of the variables. It is the test-retest correlation which is used in the calculation of the change score reliabilities discussed previously. The off—diagonal correlations of this matrix are not necessarily symmetric. That is, if x1 is the score on x at time 1, x:2 is the score on x at time 2, and yl and y2 are the two measurements on y, then the two matched correlations in this matrix are the two correlations involv- ing x and y, i.e., Since the two correlations are d . rlez an rylxz calculated for mathematically different variables, it would be possible for the two correlations to be completely different. For example, let Job Satisfaction be x and let Superior-Subordinate Relationship be y. Then x is variable 6, x is variable 13, y1 is variable 1, and y2 is l 2 variable 8. The two cross-lag correlations are thus rxlyz = 16,8 = .32 and r = r = .06. And indeed they are not equal but are YIXZ 1,113 "asymmetri cal . " As a matter of fact, it is the asymmetry of these correlations that facilitates the inference of causal priority in the system. To illustrate Chess-er's test for causality, consider again the two variables, Job Satisfaction and Superior-Subordinate Relationship. Job Satisfaction and Superior-Subordinate Relationship have significant static correlations (rxl),l = r6 1 = .37, = r13 8 = ~36) and a rx2Y2 Significant dynamic correlation (rAx A = r20 15 = .35). Thu-‘3 “0‘5 0T11Y Y is there a relation between the variables at one point in time, but a Change in one tends to be accompanied by a change in the other. There- fore, Chesser (following Vroom, 1966) concluded that these variables are II “no: A; ‘ui u. 5.. O “O. F 33.51": N u‘,‘'; "l.\ H. y n“... ‘-i§: ? I ‘l '1 19 causally related. Assume (for the moment) that this is so. What is the direction of the causality? Suppose that Job Satisfaction exerts a causal influence on Superior—Subordinate Relationship but not vice versa (i.e., an arrow from x to y in the effects diagram). Then if x1 is large, y will tend to increase while if x is small, y will tend to decrease. 1 This tends to create a "considerable" correlation between x1 and y2. However, if SUperior-Subordinate Relationship exerts no causal influence m1Jbb Satisfaction, then there will be no analagous influence on the correlation between y1 and.x. Thus the assumption "x influences y and 2. not vice versa" leads to the inference r i.e., asymmetric I - lez > ylxz cross—lag correlations (Pelz and Andrews, 1964). In the present example I = .32 h'l = .06. Th‘ d'ff ' ' 'f' t t th XIYZ w i e rylxz is i erence is signi ican a e .10 level and hence provides rather weak evidence for an asymmetric caus a1 re lationship . Chesser's synthesis of Vroom (1966) and Pelz and Andrews (1964) cmrrumrbe succinctly stated: If x and y have significant static corre- thons (r ) and a significant dynamic correlation (r 2 X1Y1’ rXzy Ax,Ay)’ then infer them to be causally related. If the cross-lag correlations are asymmetric, then either r If 1' Off >I‘ . x1y2 > Y1X2 Y1X2 X1Y2 r ' H .H I lez > nylxz, then infer x causes y f rylxz > rxly2, "y causes x.” If the cross—lag correlations are symmetrical, i.e., if then infer Igly2 = rylxz, then infer mutual causation. For small samples these inequalities could be replaced by significance tests in the usual way. This method010gy will be shown to be wanting on both empirical grounds and theoretically in succeeding chapters.. On the other hand, the cross-lag correlations are important in their own right. Large cross-lag correlations mean that the value of one variable at one time _— til 1 113‘ W- .MT. .0 Spu: 30) ii} 20 can predict the value of the other variable at a later time. Thus significant cross-lag correlations imply the existence of a lasting bond between the variables and rule out many of the Spurious static relation- ships that can arise from response sets, demand characteristics, etc. Impact Corre lations The only remaining sections of Table 2-7 which contain informa- tion relevant to this study are "impact correlation" matrices. The impact correlations are Pearson ,r's, the initial or time 1 score corre- lated with change scores for the system variables. The diagonals of this matrix contain the correlations of a system variable with changes in that same variable. Since the diagonals of this matrix are negative, two possibilities suggest themselves: one, the.true regression of change score on initial score and, two, the spurious negative effect of unreliability. Because of the low change score reliabilities. and because of problems with transient factors that will be explained below, the Spurious negative effect is known to be large but cannot be estimated and corrected for. The off-diagonals do not contain the spurious component of unreliability since errors of measurement are uncorrelated. The high percentage of negative off-diagonals contradicts many of the conclusions represented by the effects diagram. While the dynamic correlation for Changes in Job Satisfaction and Changes in Superior-Subordinate Relationship indicates a positive relationship (rxAy = .35, p < .01), the impact correlations for those same variables are : erAY = -.31 and rX6Ay = -.08. Both of these indicate that initial score and change 21 score are inversely related rather than directly related as implied by a positive causal relation. This contradiction will be addressed below. Effects Diagrams The analysis of the data for the Firm B managers produced a number of significant dynamic correlations. These dynamic correlations provide the major support for acceptance of the Real Change Hypothesis. These correlations between change scores are, for the most part, positive and significant. This means that changes in one of the variables explain a major portion of the variance in changes of the other. Used in conjunction with the cross-lagged correlations, these statistical relationships for the Firm B managers have been interpreted in the form of an effects diagram of the change relationships between variables of the MBO system (Figure 2-1). This effects diagram was developed in the same manner as Chesser (Chesser, p. 105). When there was a significant dynamic correlation, the two variables in the relationship are connected by a straight line. When the cross-lagged correlations are symmetrical, the relationship is defined as mutually reinforcing and is indicated by an arrowhead at both ends of the connecting line. For an asymmetrical relationship, e.g., Changes in Job Satisfaction and Changes in Superior-Subordinate Rela~ tionship, the arrow is unidirectional and indicates the causal relation- ship. On balance, the data from the Firm B managers produced results quite similar to those found in the study by Chesser. The effects diagram for the replication study does show two significant differences when compared to the Chesser effects diagram (see page 6). First, the 22 Figure 2-1.-- Effects Diagram of Change Relationships fer the 117) MBO Behavioral System - Firm B Managers (n ‘i now cHHz :oHuomMmHHmm :H mmmamnu 4‘ .coHHmHoomm< ransom-oocNEHOMHom :H momcmao om: vamzoe :OHHmpcoHHo :H mowcmzo Ha {A i H 1., J mflcmcoHHmHom opmcHwHoasm-HOHHoQSm :H mow:mno mHmou mchHNHH< CH mmooosm wo>Hmo -Hom :H momqmgu w i H oocm>o~m¢ w HHHHeHu Haoo cw momcmzo 23 relationship between Changes in Goal Clarity and Relevance and Superior- Subordinate Relationship is reversed in the two diagrams. Second, the "driver" or causal variable for the Firm B managers is Changes in Job Satisfaction while for the Firm A managers it is Goal Clarity and Rele— vance. One possible explanation for this is that for the Firm A managers there was a change agent present between administrations of the questionnaire. That change agent was the introduction of MBO as a management policy. Since one purpose of MBO is to improve the subor- dinate's exPectations, Goal Clarity may have taken on added importance. For the Firm B managers, MBO was an on-going program prior to the first administration of the questionnaire. The Firm B managers had already been utilizing MBO and thus job satisfaction was a key attitude in that firm. Given similar results in both studies, a decision was made to pool the samples. This was accomplished simply by averaging the corre- lations between similar variables from both studies. With the larger sample, there were a larger number of significant dynamic correlations; however, the pattern of cross-lagged panel correlations did not change. The significant asymmetrical relationships required for causal inferences were not present. (See Appendix C for a more detailed dis— , cuSSion of the methods and results of the pooling technique.) The fact that a statistically more reliable matrix showed pg asymmetric relations causes some concern. After all, what this strongly suggests is that all the asymmetries in the smaller samples for Firm A and Firm B separately were the product of sampling error. But this would imply that all the causal relations in the MBO system are mutually reinforcing. This not only contradicts existing theories but 24 seems rather implausible on the face of it. These "contradictory" results for the pooled sample cross—lag correlations tended to make the negative impact correlations that muCh more salient. Contradictions to the Real Change Hypothesis To this point in the replication study, the development of these effects diagrams was based on the assumption of real change in the system. This section will summarize the various pieces of evidence which are counter to the assumption of real change in a multivariate system suCh as that depicted in the effects diagrams. The first piece of evidence is found in the means of the seven scales. They did not increase. This could happen only if the positive changes produced by high values on the MBO system variables were exactly balanced by nega- / tive Changes produced by the low values on the MBO system variables. But this precise balance can happen only if all seven means are exactly at the zero effects point of the system. Furthermore this must be true of both firms! .Although this eXplanation cannot be absolutely ruled out, it is so unlikely on a priori grounds as to be highly implausible. The second finding which challenges the assumption of real change in the data is the fact that the variance of each variable was lmchanged from time 1 to time 2. Real positive causal influences normally produce a sharp increase in variance. This is particularly true if high scores are producing positive changes while low scores are producing negative changes. That is, if the managers who score high at time 1, score higher at time 2, and the managers who score low at time 1, score lower at time 2, then the variance will necessarily increase. And this is precisely what is implied by positive causal relations without a - “.- fu- H... "m n.- *1 25 change in the means. In the data the variances did not increase; they stayed the same. Therefore if there is real change, it can only be real regression to the mean, i.e., a negative relation between initial score and change score. Furthermore for the variance to stay exactly the same, the decrease in variance produced by regression to the mean must be exactly balanced by the increase in variance due to change produced by factors outside the system. While such perfect balance is not impossible, there are no sound a priori grounds for such a finding and it must there- fore be viewed with some suspicion. Furthermore it should be noted that this balance must be assumed for each of the seven variables and in both Firm A and Firm B. Table 2-7contains evidence which suggests that there was no real change in the system between administrations of the questionnaire. If real change in attitudes had taken place, the static correlations between the system variables should have exhibited different patterns in both time periods. This did not happen. An examination of the correla— tions between the variables for both administrations reveals that they are not statistically different (see Table C—7 in Appendix C). The impact correlation matrix has almost all negative correla— tion. All of the diagonals are negative which implies an observed "regression to the mean" effect. A sizable portion of this observed regression to the mean is definitely known to be a spurious artifact of unreliability in the measuring instruments. And since certain other sPurious effects cannot be estimated in the data for two time measure- ments, it is possible to disregard the negative diagonals altogether; i.e., the diagonals for perfect measures might have been positive. actually nously d 553 53:15 anal a: :me 55 related U16 Sta? standar sim wh mien mange change outcm additi W35 3 hpm mode EST for re: r___—7 r__ _ ._ 26 The negative off-diagonals are not as easily explained and are actually a contradiction to the assumption of real change. As pre- viously discussed, the positive dynamic correlation between Changes in Job Satisfaction and Changes in Superior-Subordinate Relationship implies a real and positively related change. The off—diagonal impact correla- tions suggest that changes in either of these variables are negatively related to the initial score on the other. This is not consistent since the status, cross-lags, and dynamic correlations are all positive. When coupled with the finding of no change in the means and standard deviations for the scales, the evidence points toward a conclu— sion which rejects the general hypothesis of MBO as a multivariate system of causally related variables. Could it be that there is no real change in the actual MBO variables? That is, could the evidence of change be due to some artifact of measurement? This would be a drastic outcome indeed and it seemed unwise to consider such hypotheses when the additional items existed to improve the Chesser scales. In order to provide more distinct results using the Firm B data, an attempt was made to construct improved scales. Chesser's methodology was again employed to build a revised research model to test the hypothesis of real change. The results of this revision of the research model are reported in the next section. Results of Revised Research Model Development In an effort to increase the internal scale reliability and to assess the influence of the new items in the questionnaire, the responses for the total sample of Firm B managers were cluster analyzed. The results of the cluster analysis and the revised scales are found in r7 lfitfil D. 1201 difn 11235-4; Smite Seals-«‘5 1:535 in 32.3.; hpmve Stone 1 mm, scales reduce [here fi———7 , ____.. 27 Appendix D. The new scales are very similar to the Chesser scales. The major differences between the Chesser model and the revised model are: (1) the Goal Clarity and Relevance scale was replaced by two scales called Importance of Goals and Goal Setting Behavior; (2) Orientation Toward MBO was renamed Utility of MBO; (3) a scale derived from new items--Importance of Competence—-was formed; and (4) two Chesser scales—— Subordinate's Influence Over Goals and Perceived Success in Attaining Goals—-were meshed into larger scales. Since only seven additional items were available for the analysis, this similarity was not unex— pected. (See Appendix E for other results of this analysis.) Table 2-8 contains the means and standard deviations for the Firm B responses to the revised scales. Again the data show a very con- sistent pattern of no change across time. Table 2—9 presents the reliabilities, test—retest correlations, and change score reliabilities for each of the seven scales in the improved research model. Several of the revised scales have poor change score reliabilities. While the internal scale reliabilities maintain an acceptable level, the test-retest correlation for each of the four scales is very close to the internal reliability for that scale. This reduces the change score reliability to essentially zero and suggests I there is little or no change on the four scales in question. The static, dynamic, and cross—lagged correlations show patterns of relationships similar to those for Chesser (Table 2—10). The dynamic correlations also indicate about the same number of significant rela— tions between change scores. The cross—lags, for the most part, are Symmetrical about the diagonals. Significant differences are found at the .20 level or better for only four correlations. ,_.. . AJU In“ w . A! 1 1 . D a «L K.“ at L ”mm... m 0 e a\ u. . . a t» .\J adIA 11V 1 C J P k lulu I \M l Ql \.H Ikl\.| !, ‘0 r___i 28 | Table 2-8.-- Means and Standard Deviations for Revised Seven Scale Model Means Standard Deviations Scale Description Time 1 Time 2 Time 1 Time 2 1. Importance of Goals 2 . 94 2. 97 0 .42 0. 41 2. Goal Setting Behavior 2.85 2.91 .44 .46 3. Superior- Sub ordinate Relationship 3. 31 3. 32 . 39 . 34 4. Utility of MBO 3.59 3.53 .64 .61 5. Importance of Competence 4. 36 4. 30 .54 .55 6. Job Satisfaction 3.30 3.34 .89 .88 7. 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Nfil V er w! n 0 Mb WH M NV wH m H? 34H cm w m& «N 4! am w 0 am: m: m: a: mu m an mm am on am 5 a .w cufi mu om mm «a ma m N or me: mat on OH: N: 9% ma or mm m mwu me mm mm 95H on ma w mm m HI mm! v: v?! was ma: 0H! xv ow am we vm C 0v :m mm M mma Mm ”MW 00 q 0H- am- mas mm: we: NH: mm: 0 fit an ma mm owl C en mw mfi mm nmwumu on m vw ma- «t 0a: m cm: NH: NH m a ma m we an H- v“ v mm mo naa a- m a: cam «a: ¢mu m: an- mm: nm N ma He an m: mm am mfl mw cm mm .Hm cad a .fim cm oa..mfl NH 0H my .ve ma nu NH. 0H 0 m x a m v m .m a a 05:. u N mafia. N mag. H mag. .ANHH u av muowmcmz m Baum uom Hopoz soumommm oamom ao>mm pomw>mm osu cw AH mafia u N «SHE v mmuoom mwdwno cam .AN mbHv mmuoom Gowuwuumfiflwavd vacuum .AH meHv mwuoom GowumuumHGfiEp¢ umuwh mnu How wmowuumz souumHoHuoo as.oHuN manna zatio 05861 \‘arie the 1 shin 9001 r—7 31 The impact correlations also show a pattern similar to that of the Firm A data. Forty-one of the possible forty—nine correlations (83%) found in the initial score and change score combination matrix are negative. Summary The replication of the Chesser study produced inconclusive results regarding the real change hypothesis. The replication did pro- duce scale means, variances, and scale clusters which were quite similar to those of the original Chesser study. The dynamic correlations were also similar for both organizations. However, several of the cross— lagged correlations were different and resulted in some differences in the effects diagrams. A close examination of the correlation matrices for both organi- zations produced some contradictions to the hypothesis of real change observed in the system. The dynamic correlations suggest that the variables of the system are changing and are positively related, while the majority of the impact correlations indicate a negative relation- ship. Also, the constant variances, constant static correlations, and poor change score reliabilities cast doubt on the assumption of real Change in a multivariate system. The next chapter will consider several models that assume real change in the MBO System. The "general factor" model will be shown to fit the data. The chapter following that will present several models which assume that there is no real change in the MBO system. The ”mood" model will be shown to fit the data. These contradictory results will then be discussed in the chapter on the critical importance of a third administration of the questionnaire. system. brough is der IMO] ma] Rla‘ NU Vafi etc, CHAPTER 3 MODELS THAT ASSUME REAL CHANGE The intent of the replication of the Chesser study, as well as the development of the revised research model, has been to assess real changes in the MBO study. The data for all three analyses have suggested that the hypothesis of real change is not well supported. To more explicitly illustrate this, three models of real change are presented along with appropriate elements from the data. The first model is actually that underlying the Chesser interpretation. It suggests that real changes in the variables are endogenously generated within the MBO system. The second model assumes that changes within the system are brought about by some factor exegenous to the system. The third model is derived by assuming that there is a single variable or _"general factor" that produces all the observed correlations among the explicit variables of the MBO system. The Endogenously Generated Real Change Model The effects diagram which was derived by Chesser for the change relationships in the MBO system is representative of a model which assumes that these changes are generated within that system. Each variable (Superior-Subordinate Relationship, Goal Clarity and Relevance, etc.) is identified as a separate entity within the system. It is implicit in the description of this model that the boundaries of the system are identified. Then the critical assumption that the variables of the system are all positively and causally related can be made. Model descriptions and assumptions such as these are common in traditional Path analysis and cybernetic model studies. 32 scores he to data f con-e1 stati tion. ship gem cor 33 This model can be interpreted mathematically as: xi = T + e where: xi = observed score for the ith system variable T = true score for the ith system variable 6 = measurement error (See note below) From this model, all of the correlations for the variables (static, dynamic, cross-lagged, and impact) can be predicted. For the static correlations, the covariance of the observed scores during each administration will have a strong positive component due to the true scores. There will be no influence due to error. The data for all of the studies show a large number of significant positive correlations. The cross—lagged correlations will be a little smaller than the statics assuming there is real change in the variables and a subsequent change in the variance fer the variables. The data support this predic- tion. The dynamic correlations will be similar in pattern of relation- ships to the static correlations. Positive dynamic correlations are generally found between all the variables that have significant static , correlations in this study. This model does not run into difficulty until the off-diagonals of the impact matrix are examined. For the assumed real change model, Note: All equations and models presented in this study will be stated in standard score form rather than raw score form. This faci1i~ tates the calculation of predicted correlations from the models. *7“.- je off-d side the ad C12. has fa octets 34 the off-diagonal correlations should be positive. As an example, con- sider the assumed causal relationship between Goal Clarity and Relevance mulChanges in Superior-SUbordinate Relationship. The dynamic correla- tions for change in these two variables are positive and the cross-lags indicate that Changes in Goal Clarity is the driver or causal variable in the relationship in both the Firm A and Firm B data. Consider a manager who feels that his goals have been stated with very high clarity. If his superior-subordinate relations are already high, then perhaps there will be only a slight increase. But if his relations had been low, then there should be a considerable increase. In any case, for the managers who are high on Goal Clarity, then there should be an average increase in their Superior—Subordinate Relations. 0n the other hand, consider a manager who feels that his goals are very vague. If his relations with his boss are already poor, then perhaps his frustration over goal setting will not lead to a decrease in Superior-Subordinate Relations. But if his relations had been good, then there should be considerable frustration and a sharp decrease in his positive regard for his boss. In any case, for the managers who score hmton Goal Clarity, there should be an average decrease on Superior— Subordinate Relations. Considering all the managers t0gether, the model assumption that Goal Clarity exerts a positive causal influence on Superior-SUbordinate Relations clearly predicts that managers who are high on Goal Clarity will increase on Superior-Subordinate Relations while managers who are low on Goal Clarity will decrease on Superior- Subordinate Relations (or increase by less if "low” means only ”rela— tively low"). Thus the positive arrow from Goal Clarity to Superior- Subordinate Relations in Chesser's model implies a positive correlation 35 between initial score on Goal Clarity and Change in Superior Subordinate Relations. The dynamic correlations and cross-lags suggest that the impact correlation of this assumed relationship should be positive. However, the impact correlation is negative in the data. In fact, over seventy percent of these correlations in the impact matrix for each of the three studies are negative. The model which assumes that the changes in the system are real and are endogenously generated is thus contradicted by this data. The Exggenously Generated Real Chanie Model If the changes that are observed in the dynamic correlations are not the result of causal influences from within the set of variables identified as the MBO system, then what else could cause the changes? One possibility is an "exogenous" factor or variable, i.e., some variable that influences the system from outside the identified system boundaries. Thus, factors such as external economic factors may be influencing each of the participants in the study. This influence could be different or the same during each administration of the questionnaire but the impor- tant assumption is that it affects each participant in the sampleiin some way. This model is also represented mathematically as x- = T + e and in general is quite consistent with the data. The critical assump— tion in this model is that real change in the system is the result of a factor outside the MBO system. The static correlations, just as in the previous model, would be A Positive and stable across administrations. The cross-lagged gmlatlw is ex t .., 35L fiiagm hen 36 correlations would also be positive and would be of the same general magnitude as the statics. This is due to the assumption that the observed change is not the result of a variable within the system. The dynamic correlations would be significant due to the effect of the exogenous factor upon the system. The large number of positive dynamic correlations would be interpreted in this model as implying that it is 223 exogenous factor instead of several that causes change within the system. The negative impact correlations are only partly explained by the exogenous factor. The diagonals are negative and could well be the result of spurious correlation of measurement error. For the off- diagonals in this matrix, the correlation is 2(T + e)(AU + Ac) rx A = ~——-—————————-————— ’ y nquAy M where: y U + a Ay = AU + As y = observed score for an MBO variable different from x U = true score for variable y e = measurement error for y then by assuming that the errors of measurement are uncorrelated and that the changes in variable y are not related to the initial score for x but are the result of the exogenous factor, the off—diagonal impact correla— tion is: r = EEAX__ = 0 X’Ay no- 0 x Ay which again is not consistent with the data. This model would not pre- dict the several large negative correlations which are present in the data. It is further contradicted by the constant variance and the rem ,, is ,‘ ht “Si: 37 constant static correlations. If there was real change in the system as the result of the exogenous factor, there would be an increase in the variance for the variables of the system. The data indicates constant variance for all three studies (see Tables 2-5 and 2-8). An increase in the variance would also show up as an increase in the static correla- '7 tions. In other words, the static correlations for the second adminis- tration would be different than those for the first administration and there is no significant difference between the static correlations for the two administrations of the questionnaire for Firm A or Firm B. Since the data do not fit the predictions of this model, it must be rejected as an explanation of the changes observed in the MBO system. General Factor Model The possibility exists that instead of developing and soliciting responses to a number of independent factors related to the MBO system, the questionnaire is actually the explication of a single underlying global factor. The model which considers this possibility assumes that there is some general factor (G) which underlies the entire MBO system. This single factor is responsible for all of the correlations between the variables of the system. If the variables of the system represent this general factor, then the static, cross—lagged and dynamic correla- tion matrices will all have the distinguishing characteristic of a "Spearman Rank-One Matrix" (Spearman, 1904). That is, the variables which estimate and are highly correlated with the general factor will themselves be highly intercorrelated. 1 Elm; W515i. ii: at for a the i 38 The Basic Model and the Static Correlations Spearman's (1904) general factor model assumes that there is one central variable which underlies some given domain, such as the MBO system. The correlational significance of any particular variable in his model is solely a function of the extent to which that particular variable correlates with the general factor. In a path diagram or effects diagram this means that the only arrows associated with the observed variables are the arrows from the general factor to the observed variable. More specifically, let x be the observed variable, G the general factor, and let y be any variable outside the domain. Then Spearman's theory assumes that the partial correlation between x and y with G removed is zero, i.e., rxy.G = 0 ‘ for all x and y. Thus the general factor model is a very strong theory in which the individual observed variables are robbed of all significance. That is, this model assumes that the difference between the observed variable and the general factor can be partitioned into two sets of essentially trivial determinants: the usual error of measurement and a "specific" factor. The specific factor is that part of the true score for the ’ observed variable which is left when the general factor is partialled out. Thus in this model the Specific factors are necessarily uncorre— lated with any variable except themselves. The only statistical dif- ference between "specific factors” and "errors" is that specific factors may be stable over time. Some of the constituents of the specific factor would be idiosyncratic semantic factors such as the peculiar elements of the job situation that a manager assigns to the words, wwage: 155';me dime: SIaIt‘C 39 "management by objectives system," idiosyncratic meanings for the response categories such as "often” in a given context, individual differences in the importance assigned by managers to minor features of the goal setting process, etc. The critical test of a hypothesized con— stituent of a Specific factor is: would it be uncorrelated with (l) the general factor, (2) all other specific factors, and (3) all variables outside the MBO system? This is a harsh criterion and if the general factor model holds, then there is little significance to the specific factors. Mathematically, Spearman's general factor model is easily stated: xi = G + Si + ei where: Xi = observed score G = the general factor S1 = the Specific factor for variable i or the residual of the true score for variable xi when G is partialled out ei = the measurement error for variable i The Specific factors, Si’ are recognized as separate but not very significant components of the model. It is assumed that each specific factor is uncorrelated with the general factor or with the Specific factor of any other system variable. If all the variables had been measured at only one point in time, then the only test for the general factor model would be a test of the predicted relations between the static correlations. This test was pro- posed by Spearman in 1904 and is classic. 4 MED in t tact 4O 2(G + Si + 6i)“; + Sj + ej) Xi Xj no Xio xj = 2(G + Si)(G + Sj) + Zeixj + inej 2(6 + si)(c + sj) _ n0 xlxj because the errors of measurement are uncorrelated. This formula is actually quite familiar once it is pointed out that G + Si is the true score Ti for the ith system variable. To continue, Z(GG + st + sic + sisj) r . = Xli' no 0' X1 XJ. 2 EC + ZGSj + 2816 + ZSiSj no ,0 _ x1 xJ _ ZGZ nCXin where strong use has been made of the assumptions that (l) the specific factors Si and Sj are uncorrelated with G and (2) that the Specific factors are uncorrelated with each other. Finally the formula can be rewritten l'mlnt arisen its: \‘2 501101 node car 201 41 If Spearman's general factor model holds in the data, then the correlation matrix must have a Special form. If the variables are ordered from high to low on the basis of their average correlation with other variables, then the variables will also be ordered from high to low on the general factor. The general fit of the model can then be tested as follows. If the strongest variable is listed first, then the highest correlations should be in the top left—hand corner. Moving from left to right, the correlations should all decrease in magnitude (to within sampling error). Moving from the top down in the matrix, the correlations should decrease in magnitude (to within sampling error). Thus, by moving from the tOp left—hand corner of the matrix to the bottom right—hand corner of the matrix, the correlations should decrease from the highest in the matrix to the lowest (to within sampling error). Spearman called this "hierarchical structure"; the modern term is "rank mm" matrix. The static correlation matrices for the Chesser Firm A study, the replication of the Chesser study in Firm B, and the revised research model all demonstrate the presence of a general factor; i.e., the static correlations form a "rank one" matrix. For each study, the static correlations for both administrations have been averaged. This was done because the two time periods have shown very stable patterns across and within administrations. In Table 3—1 the averaged static correlations for Firm A managers studied by Chesser are presented. The data has been reordered to place the strongest variable, Superior—Subordinate Rela- tionship, in the top left-hand corner of the table, then the next highest, Orientation Toward MBO, and so on for all seven variables. It is seen that the ”rank one" characteristic is reasonably strong for five Tile 42 Table 3-1.—- Reordered Matrix of Averaged Static Correlations for the Chesser Study Firm A First and Second Administrations—— (n=73)a Averaged First and Second Administration Static Correlations Variables l 3 6 4 2 7 S l. Superior-Subordinate Relationship 1.00 .45 .35 .33 .31 .27 .05 3. Orientation Toward MBO .45 1.00 .20 .14 .27 .27 .03 6. Satisfaction With Job .35 .20 1.00 .42 .16 —.03 .00 4. Performance—Reward Association .33 .14 .42 1.00 .18 .06 -.08 2. Goal Clarity and Relevance .31 .27 .16 .18 1.00 -.01 .01 I Perceived Success .27 .27 5. Subordinate's Influence Over Goals .05 .03 .00 _,08 .01 —.06 1.00 aCorrelations for this table are taken from Table 2-6, page 48 (Chesser, 1971), Significant value of r: .05 level = .23 .01 level = .30 ham "1‘ ‘ .m van an n. :1. 43 of the seven variables. The variables, Perceived Success and Subor- dinate's Influence, fall outside the rank one matrix. Table 3-2, the reordered matrix of averaged static correlations for the Firm B managers, has been constructed in the same manner as described above. VAgain the rank one characteristic is quite evident. Also, it is the variables, Perceived Success and Subordinate's Influence, which fall outside the rank one matrix. The scales of the revised research model also show the rank one characteristic (Table 3— 3). In the revised model, the scale develop- ment concentrated on making the variables both more reliable and more distinct within the system. In so doing, the items for the variables, Perceived Success and Subordinate's Influence, were absorbed into better scales. Thus in the reordering of this matrix, six of the seven variables show the strong hierarchial structure. Thus, all three averaged static correlation matrices Show the rank one pattern charac— teristic of a general factor. The Cross—Lagged Correlations What does the general factor model predict for the cross—lag correlations? The critical assumption in answering this question is determined by examining the behavior of the specific factors. If the general factor model holds at time 1 and holds again at time 2, then the factors that are specific factors at time 1 are still specific factors at time 2. What this means is that the specific factors are not only uncorrelated with each other, but they do ESE causally interact over time either. Again, the essentially trivial character of the specific factors is evident in their correlational behavior. e1. Sig 44 Table 3—2.-- Reordered Matrix of Averaged Static Correlations for the Replication Study First and Second Administrations-— Firm B (n=ll7) Averaged First and Second Administration Static Correlations Reordered Variables l. Superior-Subordinate Relationship 1.00 .52 .42 .52 .37 .23 .09 2. Goal Clarity and Relevance .52 1.00 .37 .29 .14 .17 .09 3. Orientation Toward MBO .42 .37 1.00 .41 .25 .17 -.04 4. Performance-Reward Association .52 .29 .41 1.00 .41 .15 .12 6. Satisfaction with Job .37 .14 .25 .41 1.00 .04 .04 l Perceived Success .23 .17 .17 .15 .04 1.00 —.05 5. Subordinate's Influence Over Goals .09 .09 —.04 .12 .04 —.05 1.00 Significant values of r: .05 level = .18 .01 level = .24 hm 45 Table 3—3.—— Reordered Matrix of Averaged Static Correlations for th First and Second Administrations — Revised Seven Scale Research Model — Firm B Managers (n = 117)a e Averaged First and Second Administrati Static Correlations on Variables l i 1 _5_ i E 3 1. Importance of Goals 1.00 .66 .42 .35 .33 .20 .30 4. Utility of MBO .66 1.00 .55 .37 .38 .38 .22 I Performance-Reward Association .42 .55 1.00 .40 .31 .32 .04 5. Importance of Competence .35 .37 .40 1.00 .17 .19 .03 3. Superior—Subordinate Relationship .33 .38 .31 .17 1.00 .30 .00 6. Job Satisfaction .20 .38 .32 .19 .30 1.00 .08 2. Goal Setting Behavior .30 .22 .04 .03 .00 .08 1.00 aThese correlations are taken from Table 2—7 , page 17. Significant values of r: .05 level = .18 .01 level = .24 dfferent entries ( ietue sitar :1‘ Means. Yariab Since fattg 46 Formulas for the cross-lagged correlations must provide for two different cases: the test-retest correlations that form the diagonal entries of the cross—lag matrix and the off-diagonal entries that involve the time 1 score on one variable and the time 2 score on another. Con— sider first the test—retest correlations. Since there is only one observed variable, denote it by x and use the subscripts for time 1 and time 2. Thus x1 = G1 + Sl + e1 x2 = G2 + $2 + e2 The test—retest correlation will be 2(G1 + 81 + el)(G2 + 82 + e2) r = xlx2 n0x10x2 2(61 + Sl)(62 + 82) noxlon because the errors of measurement are not correlated with any other variable. ZCGIGZ + 6182 + 8162 + 5182) r = x1X2 noxlox 2 nOX10x2 n OXIOXZ . - ' eral since the specific factors do not interact over time with the gen factor. To continue here the mnelatic x: are the nines of wnelati: tions by iaractex Tandy]: The cros hem]: met; 47 06162 05152 r ______. ______. x x 1 2 oxlon oxlox2 where the first term is for comparison with the off-diagonal cross—lag correlations and the second term represents the fact that since x1 and x2 are the same variable at two times, 51 and 82 are the two successive values of the same specific factor. Thus rslsz#0 and the test—retest correlations should be larger than the off—diagonal cross-lag correla- tions by precisely the amount of the second term. The prediction of the off-diagonal cross-lags is similar in character although notationally more difficult. Consider two variables x and y measured at two different times. Then x1 = 61 + 8X1 + e1 Y2 = G2 + Sy2 + 82 The cross-lag correlation will be _ 2(61 + SX1 + e (G + S + r _ 1) 2 y2 82) x172 nox1°Y2 2(61 + sxl)(c2 + 5X2) n OxlOyZ because the errors of measurement are uncorrelated. Continuing, 25 G + 26 S + 28 G + XS S TX = 1 2 1 y2 X1 2 X1 y7 1Y2 “0x 0 1 Y2 26162 nOx1°>’2 because the specific factors do not interact causally with either the general factor or with each other. This in turn can be rewritten 53M of \ Conelat lltlon n Thus eSsem mm. 110“ 11am 48 0G G r o o r = 1 2 = 6162 G1 62 x1Y2 o a o 0 x1 y2 x1 y2 oG 0G2 - 1' . G G ' -- -- 1 2 OX1 Oyz ‘ rclcz'a‘z‘.‘ :7..- 1 1 Y2 2 = r6162 ' rxlol ' ryzc2 This triple product can be broken up into two parts. The first part is rGle’ the test—retest correlation of the general factor and is indepen- dent of which variables are taken to be x and y. Thus the test-retest correlation acts as a general multiplier of the entire cross lag corre- lation matrix. The second part of the triple product is the product rlel . ryzcz. If the total amount of change in the system is not large, the ratio of the variance of the specific factor to the variance of the general factor will not be greatly changed over time. If this is true (and it is exactly true of the data in both firms), then 12'szerle That is rx1G1 rYZngs rx151 ry161 = rx1Y1 Thus if r then the second part of the triple product is Y2G2Q" rchl’ essentially the static correlation at time 1, i.e., r r r x1Y2~ 6162 le1 In particular, if the static correlations remain about the same from time 1 to time 2 (as they do in this study), then the cross-lag correla— tion matrix is obtained by simply multiplying the static correlation matrix by the test-retest correlation of the general factor. 1h cross-lag that eke e hierardii‘ em. sa ie 2mm ihree s1 accord] lattice for the for em lions, lagged cones clear mode 49 Thus if the test-retest correlations in the diagonal of the cross-lag matrix are ignored, then the general factor model predicts that the cross—lag correlation matrix will show exactly the same hierarchical order as did the static correlation matrix. That is, to within sampling error, the magnitudes will simply have been reduced by the multiplicative constant r6162. These derivations for the cross—lagged correlations predict that diagonals of the matrix (the test—retest correlations) will be greater than the off—diagonals by an amount equal to the correlation of specific factors for that particular variable at two points in time (i.e., r5182 # 0). The data for all three studies support this. To illustrate, the cross-lagged correlation matrices for the three studies (Firm A, Firm B, and revised Firm B) have been reordered according to the hierarchical structure found for the static correlation matrices (Table 3-4 for Firm A, Table 3—5 for Firm B, and Table 3-6 for the revised Firm B model). As predicted, the diagonal correlations for each of these matrices are larger than the off—diagonal correla- tions. In each case, the off-diagonal correlations in these cross- lagged correlation matrices show the same rank one pattern found in the corresponding averaged static correlation matrix. This is particularly clear for the revised scales in Firm B. The Dynamic Correlations The predictions for the dynamic correlations follow from the derivation of the formulas for the static correlations. That is, the model assumes real change in the general factor which accounts for the Table : 3. Urie .1 . San 1. Peri Assc 3. Goal Re 1e 7- Peri (he 1COriel (Q1635 hm? d: Variei Varia Signi 50 Table 3-4.-- Reordered Cross-Lagged Correlation Matrix for the First and Second Administrations - Chesser Seven Scale Research Model — Firm A Managers (n=73).a Second Administration First Administration 1 3 6 4 2 7 5 l. Superior-Subordinate b Relationship .46 .26 .35 .26 .01 .32 .14 3. Orientation Toward MBO .39 .51 .29 .19 .09 .08 .10 6. Satisfaction With Job .05 .02 .48 .33 -.05 -.01 .07 4. Performance—Reward Association .20 .03 .23 .42 .00 .12 .23 2. Goal Clarity and Relevance .23 .36 .17 .13 .23 -.O6 .04 7. Perceived Success .31 .20 19 08 07 37 .19 5. Subordinate's Influence Over Goals —.10 .05 .08 .02 —.ll —.07 17 aCorrelations in this table are taken from Table 3-2, page 67 (Chesser, 1971). b . . The diagonal entries are the test-retest correlations between variable measured at time 1 and time 2. correlations between one variable measured at time 1 and a second variable measured at time 2. Significant value of r: .05 level = .23 .01 level = .30 Off—diagonal entries are each Idle . Goal Rele 3. 01h .1. Per Ass . P61 4.. 0v. 51 Table 3-5.-- Reordered Cross-Lagged Correlation Matrix for the First and Second Administrations - Seven Scale Research Model Replication Study - Firm B Managers (n=ll7) Second Administration First Administration 1 3 6 4 2 7 S 1. Superior-Subordinate Relationship .46a .22 .38 .30 .06 .25 -.13 2. Goal Clarity and Relevance .31 .46 .24 .17 —.06 .13 —.20 3. Orientation Toward MBO .36 .39 .66 .32 .12 .24 —.04 4. Performance-Reward Association .38 .31 .36 .60 .22 .07 .08 6. Satisfaction With Job .32 .16 .27 .37 .52 18 .05 7. Perceived Success .20 .26 .12 .10 .06 .51 —.16 5. Subordinate's Influence Over Goals .04 8The diagonal entries are the test—retest correlations between each variable measured at time 1 and time 2. Off-diagonal entries are correlations between one variable measured at time 1 and a second variable measured at time 2. Significant value of r: .05 level = .18 .01 level = .24 Table 3' »_. ~51 ." pa m 245 time Vari; Sign 52 ble 3—6 .-— Reordered Cross—Lagged Correlation Matrix for the First and Second Administrations — Revised Seven Scale Research Model — Firm B Managers (n = 117)a Second Administration First Administration 1 4 7 5 3 6 2 Importance of Goals .53b .41 .28 .22 .31 .02 —.03 Utility of MBO .49 .68 .47 .31 .24 .16 .06 Performance-Reward Association .41 .42 .58 .33 .18 .13 .05 Importance of Competence .27 .25 .30 .56 .08 .13 —.13 Superior—Subordinate Relationship .06 .13 .06 —.01 .27 -.01 -.19 Job Satisfaction .24 .36 .33 .10 .21 .52 .07 Goal Setting Behavior .20 .13 .12 .00 .05 .02 .44 se correlations are taken from Table 2-10, page 30. diagonal entries are correlations between a variable measured at e l and time 2. Off-diagonal entries are correlations between a iable measured at time 1 and a second variable measured at time 2. nificant values of r: .05 level = .18 .01 level = .24 observer: n11 be 6 derived ; then the becaus. variab over t Speci that 53 erved dynamic correlations in the system. Thus, since there is nge in this model, the dynamic correlations will not be spurious but 1 be evidence of that change. Mathematically, the equation for the dynamic correlations is ived as follows: Given, Ax = x2 — x1 = AG + ASi + Aei and Ay=y2-y1=AG+ASJ-+Aej where: y = an MBO variable different from x c = error of measurement in variable y 1 the dynamic correlations for the general factor model are given as _ 2(AG + A5! + Ae-)(AG + A8- + Ae.) I‘AX’AY - 1 l 1 1 nOAX OAy ZAGZ + ZAGASj + ZAGASi + zASiASj‘ nOAx UAy use the errors of measurement are not correlated with any other able. When the assumption that the Specific factors do not interact 'time with the general factor is used, the equation becomes ZAGZ + zAsiAsj r : AXAY noAony additional assumption that the specific factors at time 1 are still ific at time 2 and do not causally interact with each other implies A51 and ASj are uncorrelated. Thus ZAG2 CZAG 1‘ = —— = W AXAY DOAXOAY AX Ay 1 yields a Positive dynamic correlation. This can also be written = ' ' 's e uation with observed varia- I rAxAG 'rAyAG which is Spearman q Ax and AV and a general factor of AG. Thus the dynamic correlatlons Ld also form a rank one matrix. general Iable 3- images. Silo.“ ' is: . v, \omlc This “hi. to; 54 Once again, the prediction derived by assuming the presence of a eral factor is corroborated in the data for all three studies. In le 3-7 the reordered dynamic correlation matrix for the Firm A agers and in Table 3-8 the matrix for the Firm B managers show )ng positive dynamic correlations between the five variables which a assumed to correlate highly with the general factor. This same tern of strong positive dynamic correlations is seen in the revised 31 (Table 3—9 ). Each of the three matrices also shows the same rarchical structure as did the corresponding static and cross-lagged relations. The Impact Correlations The derivation of the off—diagonal impact correlations in the eral factor model is straightforward. V r 3 2(5 + si + 2i)(AG + ASj + A2. X’Ay nOxOAy ZGAG + )ZGASj + ZSiAG + ZSiASj nUXCAy = ZGAG noony _ OGAG _ OGOAG ‘ ‘ TGAG ' To“ oony x Ay in turn can be rewritten OZG OZAG rxAy = rGAG' . OXOG OAYOAG ' rGAG rxG rAyAG h is a triple product much like that found for the cross—lagged is inde endent elations. Again the first part of the PTOdUCt’ rGAG’ p Table a 9 55 Table 3-7.—- Reordered Dynamic Correlation Matrix for the First and Second Administrations — Seven Scale Research Model - Firm A Managers (n=73)a Changes in Variable _1_ g 6 4 2 _7_ _5__ Superior—Subordinate Relationship 1.00 .24 .34 .23 .30 -.16 .14 Orientation Toward MBO .24 1.00 .23 .08 .05 .21 .07 Satisfaction With Job .34 .23 1.00 .37 .11 —.13 —.O6 Performance—Reward Association .23 .08 .37 1.00 .12 —.10 —.01 ; Goal Clarity and Relevance .30 .05 .11 .12 1.00 .06 .08 Perceived Success -.16 .21 -.13 -.10 .06 1.00 —.07 Subordinate's Influence Over Goals .14 .07 —.06 -.01 .08 -.07 1.00 rrelations for this table are taken from Table 3-1, page 65 Lesser, 1971). nificant values of r: .05 level = .23 .01 level = .30 Table Signi 56 'able 3-8.—- Reordered Dynamic Correlation Matrix for the First and Second Administrations - Seven Scale Research Model Replication Study — Firm B Managers (n=ll7) Changes in Variable Superior—Subordinate Relationship Goal Clarity and Relevance Orientation Toward MBO Performance-Reward Association Job Satisfaction Perceived Success Subordinate's Influence Over Goals h—t 1.00 .48 .12 .37 .35 -.01 .23 Z 2 .48 .12 1.00 .14 14 1.00 .11 .20 .19 .12 —.OS - 02 .27 -.01 lb .37 .20 .00 .24 IO" .35 .12 .24 1.00 —.15 .04 .23 .27 —.01 .04 .11 1.00 ificant value of r: .05 level = .18 .01 level = .24 lrille l9 Inge . Util 7. Per: .355: 3These Sign: 57 able 3-9.-- Reordered Dynamic Correlation Matrix for the First and Second Administrations - Revised Seven Scale Research Model — Firm B Managers (n = 117)a Changes in Variable I .4 2_ §_ §_ 6_ 2 Importance of Goals 1.00 .54 .19 .22 .27 .IS .41 Utility of MBO .54 1.00 .27 .22 .40 .31 .30 Performance-Reward Association .19 .27 1.00 .22 .34 .18 -.08 Importance of Competence .22 .22 .22 .00 .23 .15 .18 Superior-Subordinate Relationship .27 .40 .34 .23 .00 .34 .13 Job Satisfaction .15 .31 .18 .15 .34 .00 .06 Goal Setting Behavior .41 .30 -.08 18 .13 .06 1.00 se correlations are taken from Table 2-10, p. 30. nificant value of r: .05 level = .18 .01 level = .24 of which which rank ( Slatil be th 3le 15 (i! 58 hich variables are represented by x and y. Thus rGAG is a general iplier of the entire impact correlation matrix. The second part of triple product is the product rxG rAyAG and is more complex than the uct for the cross-lag correlations. This term will be large to the nt that the initial score in question is correlated with the general or and the change score in question is correlated with the change in eneral factor. If all the specific factors changed to the same e, then the rank order of the rAyAG's would be the same as the rank of the ryG’s, i.e., the same as the rank order of the static lations. However, if some Specific factors change much more than s, then this rank order could be modified. A rough estimate of the cted rank order of the rhyAG'S is given by the reliabilities of the ,e scores. Thus going down a column of the impact correlation matrix, the order of the numbers should be the same as the rank order of the c correlations (to within sampling error). Going across a row of mpact correlation matrix, the rank order of the correlations should 5 same as the rank order of the change score reliabilities. The a1 magnitude and the sign of the entire set of impact correlations :ermined by the impact correlation of the general factor, TGAG- The most important point of this derivation is in the last sen— If the general factor undergoes real regression to the mean, then S negative and the general factor model predicts that every entry impact correlation matrix will be negative (to within sampling . And thus if regression to the mean in the general factor is d, then there is at least qualitative fit for the predictions of neral factor model and the impact correlations found in the data. Var: let 59 The predicted pattern of impact correlations for the three as does show a hierarchical structure (see Table 3—10 for Firm A, 3—11 for the Firm B replication study, and Table 3—12 for the Firm Lsed study). Although not as distinct as in the static, cross— 1, and dynamic correlation matrices, the data do support the exis- of a general factor. The Nature of the General Factor The nature of the general factor is unknown. On one hand, it the manager's general attitude toward work—-a generalized atti- f job satisfaction. Alternately, it could be more general. 5 the general factor in this system is the manager's general level f-esteem or self—confidence. On the other hand, the general may be less general than it appears to be. Suppose the general is simply how well the manager thinks the boss likes him. If the defines competence, performance, etc., almost exclusively in f his ability to influence the boss; and if he defines the of MBO and other aspects of goal setting solely in terms of pro- an opportunity to get to the boss in an atmosphere of solemn ation; then a single narrow attitude could account for all the tion. The Specific factors in this case would be the "trivial" ve aspects of the work situation that are brought to the 's attention by the Specific words in the specific questions. The definition of the general factor is actually a function of tem boundaries. There is evidence that five of the seven MBO es are estimates of the general factor. However, until it can be ed whether the general factor is completely within the present Table 6O ‘able 3-lO.-- Reordered Impact Correlation Matrix for the First and Second Administrations - Seven Scale Research Model — Firm A Managers (n=73)a Change Score Initial Score 1 _3 _6_ 4 _2_ _7_ §_ Superior-Subordinate Relationship —.46 -.15 .02 .02 —.32 —.03 —.03 Orientation Toward MBO -.03 -.39 .21 .13 -.19 —.16 -.19 Satisfaction With Job —.23 -.1O -.61 -.ll -.21 —.O6 —.05 Performance—Reward Association —.04 -.07 -.27 —.53 -.12 .01 —.15 Goal Clarity and Relevance -.13 .08 .04 .11 —.62 —.23 —.04 Perceived Success .05 .03 .26 .00 .01 -.57 -.02 Subordinate's Influence Over Goals —.12 —.O8 .04 .08 .00 .10 —.76 relations for this table are taken from Table 2—7, page 54, esser, 1971). nificant values of r: .05 level = .23 .01 level = .30 Table Sign 61 ile 3-ll.—— Reordered Impact Correlation Matrix for the First and Second Administrations - Seven Scale Research Model Replication Study - Firm B Managers (n=ll7) Initial Score .l iperior-Subordinate elationship —.61 )al Clarity and alevance —.27 rientation Toward MBO —.09 :rformance—Reward isociation —.l4 itisfaction With Job —.08 :rceived Success .10 ordinate's Influence er Goals -.12 .34 .58 .03 .07 .03 .15 .05 Change Score 3 .02 .10 .38 .07 .02 .12 .08 i .18 .05 .ll .41 .01 .03 .13 6 .31 .18 .18 .50 .03 .05 Ix) .04 .22 .16 -.47 .04 .25 .28 .05 .04 .01 .08 .57 icant values of r: Tail Signi 62 1e 3-12.—- Reordered Impact Correlation Matrix for the First and Second Administrations — Revised Seven Scale Research Model - Firm B Managers (n=ll7) Change Score Initial Score 1 4 1 i _3 _6_ _2_ portance of Goals -.52 —.34 -.Ol —.11 -.08 —.16 -.31 ility of MBO -.19 —.44 —.01 —.04 -.13 —.23 —.18 rformance—Reward sociation .09 —.12 -.40 .04 -.08 —.17 .05 portance of Competence —.07 —.15 .02 —.45 -.06 —.06 -.16 perior—Subordinate lationship —.32 -.28 —.19 —.15 —.68 -.30 —.17 b Satisfaction .05 —.05 .06 —.08 -.09 —.50 —.07 a1 Setting Behavior —.12 —.16 .14 -.04 .05 —.12 -.SO icant values of r: )5 level = .18 )1 level = .24 systen, present enint e.‘ Llenal devi: mane high who Exit 63 :em, is part in and part out, or is a factor completely outside the :ently defined system, a sound definition cannot be established. Discussion Several models were developed to explain the results of the two rical studies. Only the general factor model adequately explained data and then only with some very delicate assumptions. First of there is the assumption that a single general factor produced all observed correlations in the system. This of course is completely radictory to all the theory in the literature. If in fact the ries that posit MBO as a multivariate system are right, then the dity of the general factor model in the present studies would amount n invalidation of the separate variables of the questionnaire used Second, there is the finding of no change in means, standard ations, and correlations over time. The fact that the variances t change means that the impact correlation is negative; i.e., gers who start 10w increase by more than the managers who start . The fact that the mean change is zero implies that the managers start high actually decrease over time. Again this contradicts :ing beliefs regarding organizational development programs. Two other facts in the data inhibit the plausibility of the ral factor model. First, the fact that the mean change is zero .res the balance point between increase and decrease on the general )r to be exactly the general factor mean for that firm. Second, the that the variance does not change means that the decrease in . . . , . t1 mce produced by the regression in managerial attitudes 15 exac y balance systen. xeliab {actor hate 2 Store test-- i818 then Cum pm sta dis 64 iced by the increase in variance produced by factors outside the em. Furthermore, this exact balance must be assumed in both firms. Another area of concern in the data is the poor change score ability for several of the scales. Since the change in the general or makes a contribution to every change score, no change score can zero reliability. However, it is possible that the low change e reliability is the result of sampling error. If the observed ,—retest correlation (the diagonals in the cross-lagged matrix) rxle thigher than the population correlation because of sampling error, lthe reliability of the change score for that variable would be :omitantly underestimated. Thus, there are enough problems with the general factor model to t its plausibility. However, the general factor model cannot be cted on the basis of the two time period study. Although the data from both organizations indicate the presence general factor, this is not proof of real change. Indeed, the lems in the general factor model arise from the constancy of means, dard deviations, and static correlations. All these problems would ppear if there were no change in underlying MBO variables. The next :er will present several models that assume no change in the MBO 3m. In particular, the "mood" model will be shown to fit the data \ ‘11 as the general factor model without making so many special /’ t balance" assumptions. produc min mm; were best , for i the i tiea‘ is t he ass CHAPTER 4 MODELS THAT ASSUME NO REAL CHANGE The analysis of the two time period data for both organizations mced several contradictions to the hypothesis of real change in M80 tudes as a multivariate system. In an effort to explain these ;radictions, several models based on the assumption of real change : developed in the previous chapter. The model which fit the data 5 the general factor model, required several delicate assumptions its development. Because of these, other models which account for pattern of results were deve10ped and evaluated. These models are med in this chapter. The basic problem in the data from a theoretical point of view hat the means, variances, and correlations are unchanged over time./ the only model which fit the data and assumed real change had to me that the MBO variables had no separate identity and that the c pattern of change was regression to the mean. There is an alter- ve assumption which fits the finding of no change in the means, iard deviations, and correlations very nicely: assume that there .n fact no change in the fundamental MBO variables. That is, assume the questionnaire was basically valid but the managers are simply able at the time of life measured that there is no measurable e. If there is no actual change, then why do the observed Jles show change? This chapter presents three answers to this ion, i.e., three agents which can produce "apparent" change in the 'ed variables. If each agent is paired with the assumption of no 65 change obsem tend and s sion the ( were mgr will the CIO b‘é’ 66 : in the MBO variables, then a different model to predict the red data is obtained. Each can then be tested. The first section of this chapter describes the effects of .ability and the second section analyzes transient effects upon the ;. The final section presents a model called the "mood" model explains the two time period data quite well. A Model Based on Errors of Measurement For this project, the questionnaire (Appendix A) was adminis— to the same managers in each organization on two or more occasions :ored for direction and amount of change. The most certain conclu- :hat could be reached was that the change scores, which represented >served difference between administrations of the questionnaire, mreliable. One result of these unreliabilities is spurious sion toward the mean (Hunter and Cohen, 1972). If there is no change in the underlying attitudes, then there e no change in the means, variances, or static correlations between served variables. Furthermore if there is no change, then the lagged correlations will be substantial. Thus a model which 5 no change automatically fits much of the data. Where does the §E£_of change come from? Consider unreliability. If there is no in the underlying true score, then the model can be derived as: X1=T+el x2 = T + 62 where x1 = observed score at time 1 x2 = observed score at time 2 he ch: Sir an: 67 T = true score for variable x el = measurement error at time 1 e2 = measurement error at time 2 tange score is given by AX = x2 - x1 = (T + e2) — (T + 61) = T _ T + e2 _ el = e2 - e1 # 0 Ls, in the change score, the two identical true scores cancel out 1e two different errors of measurement do not. Thus the observed ; show change where there is none. The finding which posed the greatest difficulty for Chesser's lology was the negative impact correlations. Could they be )us? Consider first the correlation between the initial score, x, ie change score, Ax r. . “T + W62 - 6.) 1,Ax n OXIOAX n OXIOAX the errors of measurement are not correlated with each other or ier score, the correlation is _ 2612 r = x ———————— 1AX noxloAx s a spurious negative correlation due to errors of measurement. However, this argument for the negative rx,nx applies only to‘* gonal impact correlations. What about the off—diagonals? The tion of initial administration variable x with the change in variable (y) is shown as: Sine 68 x1 = T + el yl = U + 61 Y2 = U + £2 Ay = (U + 52) - (U + 51) = 52 - 51 where: U = the true score for variable yi 5i = the error of measurement for variable yi then, 2(T1 + el)(52 - 61) r = ._______________.___ ZTlcz + Eelez — ZTlel - Eels1 nOony errors of measurement are not correlated with any other score, they at correlated with each other. Hence, rxAy = 0 :imple unreliability predicts that the off-diagonal entries of the : correlation matrix should be zero. That is, simple unreliability ,ot predict a spurious negative correlation between the initial on one variable and the change score on another. Hence, simple ability does not account for the off—diagonal negative impact ations found in both firms. How would simple unreliability affect the correlation between 5 in two system variables, x and y? For a starting point, assume: X1=T1+61 Y1=U1+€1 x2 = T2 + e2 Y2 = U2 + E2 AX = e2 - e1 Ay = 52 - 61 Again the tithin ti cone 1 ati thee aga a Spuric \ “ cuffeitr tions wl Spuriou model 1 as hef 69 2(62 - €1)(€2 - 81) r = _____——______—————— AxAy n OAXOAY _ ZGZEZ ‘ 28281 - 28182 + 28151 nOAXOAy :he fact that errors of measurement are not correlated between or time periods means that every term is zero. Thus the dynamic ition is: t rAxAy = 0 ‘ain it has been shown that simple unreliability does 223 predict ous correlation for the correlation between change scores for nt variables. The one result in the impact and dynamic correla— hich might be an artifact produced by simple unreliability is the 5 negative regression found in the diagonal of the impact matrix. A close examination of the quantitative predictions made by this or the cross—lagged correlations reveals one other failing. If x1 = T + e1 yZ = U + 52 re, then m + elltU + e2) rX1>'2 = n “X1OY2 ZTU + ZelU + ZTEZ + 26152 n Ox1°>'2 ZTU nOx1°Y2 _ °TU Ox1°>'1 = rx1Y1 hat is, sinilar t This is r retest 0 observed Inns thi the que: variati instmm 18 the: from or hility' eluded depend "Weigh tuatit PUI‘po: Clefin the f Weigh in a site had 70 t is, the cross—lagged correlations are predicted to be not just ‘lar to the static correlations, but they are predicted to be equal. 5 is not true in the data for either firm. A side effect of this result is the fact that if the test- est correlation is equal to the reliability of the scale, then the erved reliability of the change score for each variable would be zero. this model fails by predicting too many zero reliabilities. The Transient Factor Model There are a number of sources of variation in the responses to questionnaire by the managers of both Firms A and B. Some of that iation can be attributed to the unreliability in the measuring trument. Another portion of that variation is change in true scores. there another component? Consider the change in a person's weight n one week to another. Little of the variation is due to "unrelia— Lty" in the sense of "error of measurement.” Can it then be con— led that all the variation is due to a change in true score? That :nds on what sort of concept of "weight" is used as a reference. If ght” is defined as instantaneous mass, then by definition all fluc— ions in weight represent changes in true score. However for such oses as the study of obesity, heart disease, body types, etc., this ition would be pointless and misleading. To illustrate, consider fact that during a summer game a football player may show ”apparent” t 1055 of 25 or 30 pounds; i.e., a ”water loss" which will vanish matter of hours. Clearly the relevant concept of "weight” in this tion is a hypothetical "true" weight which would have been obtained he person been weighed under "standard” conditions. S( denation: "instabil be obtain :easure a he corn the new. variable of equiv Simple e ”coeffi ject to actual} instnn 0f tial hhile toeffi is ove stab). no) A ten tar), his bang day the 71 Some time ago (1960) Cronbach noted the distinction between the ions in observed scores produced by transient factors (i.e., bility”) and errors of measurement. The usual reliability would ,ained by administering two different instruments (designed to re attitudes regarding the MBO system) at the same point in time. )rrelation between these alternate forms would indicate how well :asurement on form A agrees with the measurement of the same )les using form B. Cronbach calls this correlation the "coefficient ivalence." The difference in scores between these forms is the error of measurement discussed in the previous model. Cronbach also defined a second reliability coefficient, the Licient of stability," to assess the reliability of measures sub— .0 transient conditions. The ”coefficient of stability" is .ly a test—retest correlation obtained by administering the same ment at two points in time that are far enough apart that one set nsient factors is replaced by another set of transient factors, close enough in time that there is no change in true score. This :ient of stability indicates how stable a particular measurement r time. That is, the "true score" for this coefficient is the attribute of a manager (e.g., general attitude towards work or ich will be found in both administrations of the questionnaire. rary condition such as a quarrel with the boss over some momen— iget problem, feeling a financial pinch regarding a recent dinvestment, a temporary lull in sales, etc., may cause a to respond, on all the items of some scale, higher or lower one he would the next. The effect of such events is a lowering of retest reliability or "coefficient of stability.” The effect of transifi apposite. md hence bilities equivaler estimate trmsien‘ that ext coeffici is an ox comm the ch31 Cross tions U10 8 both dict 72 ansient factors on the coefficient of equivalence would be the ite. They would enter into the two measurements at the same time ence would Spuriously inflate the coefficient of equivalence. The coefficient used in this study to estimate scale relia— ies is coefficient alpha (Cronbach, 1951). Coefficient alpha is alent to an "alternate form" reliability coefficient, i.e., an te of the coefficient of equivalence. If there are significant 'ent factors in the MBO questionnaire, then coefficient alpha is to extent an overestimate of the relevant dynamic reliability icient, i.e., the coefficient of stability. If coefficient alpha overestimate, then the reliabilities of the change scores will be ;pondingly inflated. This casts doubt upon the reliabilities of lange scores found in the replication that were not already zero. Unfortunately in the present study the time interval between mments is eighteen months. Thus there is no way to differentiate rn real change and instability. That is, there is no means to , the effects of ”instability” upon the reliability measures given .wo administrations of the questionnaire. However, this can be f there are measurements made at thrge_times. As will be shown in xt chapter, there is such data and it does suggest pronounced ent factors. Mathematically the effect of instability on static correlations, lagged correlations, dynamic correlations, and impact correla— is indistinguishable from the effect of error of measurement. The together in a single "error” term. Thus a model which contains ror of measurement and instability will make the same major pre— 5 as the model built on simple unreliability alone. However, the l existence etuivalen ing the e the like. factor: native t the date 579 neg; positiw ing bot deviati actual] 50196 d: feel 6‘ Sonal Wort Candy 73 istence of significant transient factors makes the coefficient of uivalence (the usual ”reliability") useless for statistically eliminat— g the effect of "error" from the data by correcting for attenuation or e like. The "Mood" Model To this point, the effects of unreliability and transient ctors and the assumption of no real change can be considered an alter- tive to the real change models to explain some of the results found in .e data. However these no change models have not been able to explain e negative off—diagonals in the impact correlation matrix or the sitive dynamic correlations. The "mood" model will succeed in predict- g both. The "mood" model is an attempt to identify a component of the viation of the observed responses from the true score that would tually be common to the entire set of responses to the questionnaire. me days the manager will feel especially good and some days he will 31 especially bad. This could be the result of personal health, per— 1al problems, a conflict situation, and so on. All of these are idom and transient. However, if a manager's mood contributes signifi— tly to his measured attitude on one of the MBO dimensions, then it 1 also contribute to the others. That is, if the manager's mood is a tor in his questionnaire responses, then it is a factor that is on to all variables in the MBO system. Therefore consider a model Ch assumes (1) that there is no change in the true score of the ager between administrations and (2) that the change observed is in t a function of the "mood" of the manager at that point in time. the no Thet betau def“ 74 Mathematically, the mood model for two variables is .= +-+. x1 T hl e1 andyi=U+hi+€i observed score for variable x where: Xi = yi = observed score for variable y T = true score for variable x hi = mood variable at time i ei = error of measurement for variable x at time i gi = error of measurement for variable y at time i Since the mood variable is not correlated across administrations, the cross—lagged correlation formula is very simple. Thus, T h U + h + rx y 2( + 1 + e1)( 2 52) 1 2 noxloyz ll Z(T + h1)(U + hz) nOX1°Y2 ZTU + Zhlu + ZThz + Zhlh2 nOx1°Y2 ZTU nO'XlOyz = GTU oxoy The time subscripts have been dropped from x and y in the last equation becaus = = = = 0 e 0X1 OX2 OX and Cyl OYZ y' The static correlations for the mood model are similarly ierived ills sf in the Sputio lags) the c} fact 1501; mode The; 75 2(T + hl + e1)(U + hl + 81) r le l nOX1°Y1 _ ZTU + Ehlz n OXlOyl ZTU + 2h12 nOXlOY1 noxloyl > OTU rx1Y1 lus since mood affects both x and y, mood produces a Spurious increase 1 the static correlation between them. Furthermore, it will produce Juriously high correlations for both administrations of the data. Since mood increases the static correlations but not the cross— %5, it can greatly and falsely inflate the estimated reliability of .e Change scores for the system variables. That is, in the mood model 1x2 = the coefficient of stability. Coefficient alpha as used in 2 2—2 which is inflated. This reflects the 15 study is rXlxl = rxlxz + 02 x Ct that mood is a transient factor for any one variable considered in olation. For the diagonals of the impact correlation matrix, the mood 161 Operates as follows: x1 = T + h1 + el x2 = T + h2 + e2 so Ax = h2 — hl + e2 ~ el = Ah + Ae trefore which f Hence ‘ ahdt Whit the bill 76 _ 2(T1 + hl + 81) (Ah + Ae) x,Ax _ noonx _ ZTlAh + zTAe + ZhlAh + ZelAh + ZelAe n oonx Several assumptions must be made. The errors of measurement are defined to be uncorrelated with any other variable. Similarly, if mood is transient and random, it is also uncorrelated with any other variable. In particular, if mood is a transient variable, then mood at time 1 will not be correlated with mood at time 2. By using these assumptions, —Zh12 — zelz = —02h - 026 = _ 02h + 02 r = e XAX noxOAx OXUAX OXOAX which is the negative diagonal impact correlation found in the data. Now, for the off—diagonal impact correlations, Y2 = U + h2 + 52 Y1 = U + hl + 81 so Ay = Ah + As 2(T + hl + el)(Ah +AE) noony ZTAh + ZTAe + zhlAh + ZhlAE + ZelAh + 261A: nOXOAy and by USing the same assumptions as before, _ "Ehlz — _Ozh XAy HOXOAY CXOAY - - - ' , Wh ? Because which 15 negative but smaller than the rx,Ax correlation y the off-diagonals do not have the error term which accounts for unrelia— )ility or the regression effect. Thus a model has been found whlch accounts is, the fact th: FOHOh land them this the ( altd‘ test 77 :counts for the off—diagonal negative correlation as artifacts. That , the mood model predicts negative impact correlations despite the tct that it assumes ng_real change between administrations. What does the mood model predict for the dynamic correlations? >r the correlation between change in variable x and change in variable Ax = h2 - h1 + e2 — el = Ah + Ae and Ay = h2 — hl + 52 — 61 = Ah + As so that = 2(Ah + Ae)(Ah +Ae) r AXA- Y nOXOAy _ zAhZ + ZAhAc + ZAhAe + ZAeAe n OAXOAY )llowing the previously established assumptions, 2 XAhZ 0 h rAxAy = fi-'—"—’ ---— OAxOAy OAxOAy is is a positive correlation. Thus the fact that mood affects both and y not only produces a spuriously high static correlation between em, it produces a spurious dynamic correlation as well. Thus the mood model predicts every result in the data. Since is model fits the data and assumes no real change in the MBO variables, e dynamic correlations and impact correlations may simply be artlfacts d the reliability of the change scores could be spurious. Summar Two alternative models have been derived which explain the ' tant sults in the data, i.e., the pattern of correlations, the cons variance diets re researcl change : general model a assmrs that a] lhethe: data g. 78 ariance, and the poor change score reliabilities. The mood model pre- icts results which are congruent with both the Chesser analysis and the esearch reported here. The mood model assumes that there is no real hange in the MBO system during the two time periods. However the eneral factor model also explains the data. And the general factor odel assumes real change in the system during the two time period tudy. Thus, the dilemma is posed. One model which fits the data ssumes real change while the other model which fits the data assumes hat all the observed change is spurious. Thus one cannot determine hether or not there was real change in the managers' attitudes from the ata gathered in two time measurements. dmn* from th there 1 third a an indi longitt over 2 each ‘ Would Eacl CHAPTER 5 TEST OF THE REAL CHANGE HYPOTHESIS Is there a direct empirical test of the hypothesis of real hange in the MBO system? This chapter will first show that if data rom three administrations of the MBO questionnaire are available, then here is indeed such a test. The test will then be applied to the bird administration data from Firm A. The result of the test will be n indication of which mathematical model best fits the data of the ongitudinal study of Firm A. Transient Factors and Unreliability Assume that there is no real change in an MBO system variable ler a three—year period (in this study the three administrations were ich 18 months apart). Then the three successive scores for variable x >uld be characterized by x1 = T + e1 x2 = T + e2 x3:T+e3 where: T = unchanging true score for variable x e- = aggregate of transient factors and . unreliability for variable x at time 1 ch of the static correlations for the three time periods is the same, e., - 2(T + ei)(T + ej) rfixj‘ Hg nOXiOxj isthec 311m in t1 Woul latl 80 2 = ET + zTej + zeiT + Zeie. J “0 .o _ x1 xJ 2 ‘7— 0 x since 02Xi = 02x. = 02T + 026. Stated differently, r13 = r12 = r23 is the coefficient of stability as Cronbach defined it. The most important feature of this model is that r13 = r12 and r13 = r23. To see the importance of this, suppose that there had been no unreliability or transient factors in the observed variable. Then r12 would be low to the extent that there was a large amount of real Change from time 1 to time 2 and r23 would be small to the extent that there was a large amount of change from time 2 to time 3. But if there is considerable change from time 1 to time 2 and more change from time 2 to time 3, then there is greater change from time 1 to time 3 than from time 1 to time 2 and r13 would be expected to be less than r12. The fact that r13 is not smaller than r12 in this model is a direct reflec— tion of the assumption that the observed change from time 1 to time 2 was not real change but only apparent change- What are the cross—lagged panel correlations in this model? 3Uppose there was perfect measurement for two variables, x and y. Then, in this no change model, T would be the true score for x1 and x2 and U vould be the true score for variable yl and Y2- The cross-lagged corre- lations would be rxlyz = rTy2 = rTU : =r rY1X2 r”X2 UT that is, the cross relation the cros tions, l ships at 81 And Since rUT = rTU , rle2 = rTU = rUT = rY1X2 rat is, the cross-lagged correlations are equal to each other. In fact, he cross-lagged correlations in this model satisfy an even stronger elation. Since rxlyl = I‘Tyl = rTU rsz2 = rTYz = rTU e cross-lagged correlations are actually equal to the static correla— ons, rxly2 = erYl' For three time periods these symmetrical relation- ips are: T1 = T2 = T3 = T and U1 = U2 = U3 = U 115, rxly3 = rx1U3 = rxlu = rTu ry1X3 = rY1T3 = rYiT = rUT = rTU = rxiys rxly3 = rTU = rxlyz rY1X3 = rUT = rY1X2 rx2y3 = rx2U3 = rsz = rTU = ry2X3 rx2y3 = rTU = rxzyl = rX1Y2 = rX1Y3 it is, for all i and j r = r . . = T . = r U = rTU ice the cross-lags are all equal. But actually this formula h01d5 for = j as well as i # j, and so the static correlations are also all 1&1. Therefore, if there is perfect measurement, the cross—lags are .equal to each other (i.e., they are symmetrical) and are equal to >static correlations. "error 0 the stat That '1: Each 0 other Simple PNdil study Perio model when art 82 If the variables in this model are less than perfect, i.e., have "error of measurement" of the simple kind, then for Xi = T + 81 and ya = U * Ej the static correlation and the cross—lags are given by th + ei)(U + a.) I‘ , . = -—____J__ xlyJ n0 0 Xi Yj = ETU + zeiU + ETEj + Zeiej n Ox.0 . l YJ ZTU n oxioyj _ OTu O _O _ XIX] OTU oxoy That is, each rx_y_ 1 J each other. Thus the fact that the cross-lags are all equal to each is equal to the same constant and hence equal to Other and are equal to the static correlations is not affected by adding Simple error of measurement or "error" due to transient factors. However, for the mood model, the cross-lagged correlations are Predicted to be less than the static correlations for a two time period StUdY (r ). But what about a three time X1Y2 = rx2Y1 < rX1Y1 = rX2>’2 Period study? If there is no change in true score over time, the mOOd model can be written —. . .=T+h.+e- Xi—Tl‘l'hl’f‘el l 1 Vi = Ui + hi + ei = U + hi + 5i a are defined as the values of T, U, h, e, and e vhere Ti, u. h. ei’ i 1, 1’ - - ' bles it time i. After eliminating the terms involv1ng uncorrelated varia , For cro WRONG ndth That i That Slum the j tin alt: 83 T + h. + . U h. . rx. . = Z( 1 e1)( + J + SJ) 1yJ nOX 0x m i j” noxoy since = and = . oxi ox Oyj 0y For cross—lags, i and j refer to two different times so that the mood components, hi and hj’ are uncorrelated. Thus for cross-lags r : ZTU xin noxoy OTU OX0), if i g j and the cross-lags are all equal to each other. However for static correlations, i and j refer to the same time. That is, for correlations, j = i, so that _ ZTU + Zhihi xiyi ncxcy OTU * 02h OxOy 2 = OTU +70 h oxoy oxoy That is, the static correlations are always equal to each other, but are SPuriOUSly higher than the cross-lag correlations by the amount given in the second term of the last equation. In summary, the mood model predicts that r13 = r12 = T23 < r11 = r22 = r33' hese relationships will be used to test the data for three administra- 3i0h$ to the Firm A managers for the presence of real change in their mtitudes. lo sin by the Furthe assume in the comb then T0( 3C0 Th1 84 Real or Cumulative Change In this section real change is assumed in the observed variable, .e., a change in the true score. To simplify the discussion, first onsider only true scores. Let the change in true scores be given by AT = e o simplify the discussion, assume that the variable T is not affected y the other variables in the system; i.e., consider a univariate model. urther assume that the change in T is not related to T itself; i.e., ssume that the change in T is a simple accumulation of random events n the person's environment. After this over-simplified model is ompleted, the effect of alternate assumptions will be considered. From the equation AT = 5 these specific equations can be derived AT = T2 — T1 = 51 AT=T3—T2=€2 T = T1 + (T2 - T1) = T1 + e1 T3 2 T2 + (T3 — T2) T = (Tl + £1) + 62 T3 = T1 + 61 + 52 > contrast this model with the previous model of no change, "The" true :ore is identified as the value of the true score at time 1. Then T1 = T T2 = T + 61 T3 = T + 81 + 82 e difference is that in the no real Change model, the new value was - and tained by erasing the old e (aggregate 0f tran51ent factor _ . n e" from reliability) and replacing it by a new 6: 1-6" the Chang 115:3?” tine l t time 2 t is intrc Don‘s II cuiul at them test-j 85 time 1 to time 2 was mathematically obliterated before the "change" from time 2 to time 3 was introduced. In the real change model, once the 51 is introduced, it stays in the equation. This mathematical fact corres- ponds to the verbal statement that "real change should be cumulative or cumulated over time." What then are the correlations? Since xi = Ti’ _ 2T1 noTloT2 T 2 rx1X2 DOTloTZ ole 0102 where 0T1 is replaced by Oi' If we also simplify the notation for the test—retest correlations from rxlxz t0 r12, then 01 r = _— 12 02 2T T Similarly, rX2x3 = 5"ELT2' 0T20T3 = 2T2(T2 + 62) I'ICITZOT3 02T2 0203 and hence Q N | r23 = Q 04 how an SUIpri That 1 0T thl time These but c his on Thu the 86 Finally, ETiTs I‘ XIXS nOT10T3 ZT1(T1 + 61 + 62) n 6H@% 2 0 T1 0103 and hence _ 01 r1 — 3 a How are these correlations related to one another? The key relation is surprising, but simple: r r -01 02-Ol-r 12 ~ 23 O2 ' O3 03 13 That is, r13 = r12 ' r23 or the time 1, time 3 correlation (r13) is the product of the time 1, time 2 correlation (r12) and the time 2, time 3 correlation (r23). These correlations would be fractions (i.e., 0 < r < l) in any context bUt one in which there is no change. Since r23 < 1, this means that r13 = r12 r23 < r12 - 1 = r12 Thus if there is real change in the system, r13 < r12?’ That is, r13 = T12 only when there is no change between time 2 and time 3.", Similarly, since r12 < 1, r13 = r12 r23 < 1 - r23 = r23 < r23; the time 1, time 3 correlation is less ”11.15, 1‘13 < r12 and T13 than either the time 1, time 2 correlation or the time 2, time 3 corre- lation. This corresponds precisely to the verbal statement: "If there is teal 3, then tineSt in the change tion is :onside there: produc the ‘ 87 real change from time 1 to time 2 and real change from time 2 to time then there is more change during the total interval from time 1 to w 3 than there is in either subinterval." Does this conclusion depend on the simplifying assumptions made the particular model above? First, remove the assumption that the nge in T is independent of its initial value. A more general assump- n is that the change in T is in part a linear function of T; i.e., sider the regression equation AT=0LT+e re: a = the regression coefficient of change on initial score. This iuces T2=T1+AT=T1+0LT1+€1 =(1+a)Tl+gl T3=T2+AT=T2+0LT2+€2 =(1+a)T2+€2 = (1+0L)[(1+0t)Ti+51]+€2 = (1+a)2T1+ (1+0‘)€1+62 . can be arranged for contrast by identifying ”the” true score with true score at time I. Then, T1 = T T2 = (l + a) T + 51 T3=(1+a)2T+(1+00 61“62 6 are two critical features of these equations. First, in compari— to the simplified real change model, it is shown that T is fiTSt iplied by (l + a) and then by (l + alz- In the case Of 5331 BSSion to the mean,” the constant would be negative and SO (1 + at) would b true SC Tnat is decree! me o the to n goes 111th WOU1( ms for The tial . ft‘ she 88 uld be less than 1. For fractions which act as multipliers of the ue score, 1 > (1 + 0.) > (1 + a)2 > . . at is, if a is negative, then the multiplier of the true score creases as a function of the time interval involved. Thus, the influ— :e of the initial score on later measurements steadily decreases and 3 correlation between T1 and later measurements Tn would go to zero as goes to infinity. If there is no real regression to the mean, then a is positive. a > 0, then (1 + a) > 1 and hence 1 < (1 + a) < (1 + a)2 < . this case the influence of the initial score T on later measurements dd decrease, but not to zero. The second and most important feature of these equations for sent purposes is the fact that 81 continues to appear in the equation ‘TZ' This again reflects the fact that real change will cumulate. multiplication by the constant (1 + a) only means that the ”cumula- n" is not a simple additive process. What about the correlations? er some routine but tedious algebra, the test-retest correlations are wn to be (1 + a) ole OTICTZ (1 + a) C1sz r23 = 0'1"on3 (1 + “)2 O2T1 0T1°T3 The ”pr m this That i The 1 Univ ml real prc m 89 a "product rule” that held for the simplified model can now be tested this more general model, (1 + a) 02 (1 + a) 02 1 2 0102 0203 r12 r23 = (1 + d)2 012 022 0102203 (1 + a)? 012 0103 = 1‘13 r13 = r12 - r23 product rule still holds! Thus, the product rule still holds for a / variate model in which the measurement of the variable is perfect and 1 Change is cumulative. Again the immediate implication is that for 1 change, r13 < r12 and r13 < r23. A continuous variable whose test—retest correlations satisfy the duct rule is called a linear Markov process. A test-retest correla— 1 matrix for one variable that satisfies the product rule is called lttman Simplex (Guttman, 1954)- Now suppose that the assumption of perfect measurement is )ped. That is, re e is the sum of the random component due to unreliability and the ' we have 10m component produced by tran51ent factors. For true scores product rule I = T = rT T T1T3 T1T2 2 3 obtain attent mere COITE ties and] Int 90 What about the observed variables? Actually these are quickly led from the classic reliability formula for "correction for lation." I‘xy = rXT rTU rUy T is the true score for variable x and U is the true score for )le y. If the right reliability coefficients are used, then the lations rKT and rUy can be expressed in terms of the reliabili- Df x and y. In the present context this means that the coefficient ability is used to write rxT = ‘/ rxx and rUy = ‘/ ryy en CG rxy = M rxx rm“ ryy e present case, this yields correlations in the form 15‘13‘2 = er1x1 rT1T2 V rXZXZ rx2x3 = V I‘XZXZ TTZTS V rx3x3 rxlxs = V rxlxl rT1T3 V I‘x3x3 tution into the product rule yields, r = r r T I‘x x I'x x rTzT V IX X X2 XZX3 xlxl T1 2 2 2 2 2 3 3 3 / r I‘ r rxlxl rxzxz TlTZ TZTS X3X3 r r (I 1' I.szz V x1X1 TlTS x3x3 rx2x2 ' rXIXS Thus th i.e., L Sou Si para dras ohse 91 s the product r is not equal to r . unless r X1x2 rxzxs X1X3 X2X2 = 1; ., unless the measurement is perfect. Instead, we have 1‘x x - rx2x3 rx1x3 = l 2 erX2 since rx x l, 1 l 2 2 --—- rxzxz it is shown that rX1X3 rxlxz rX2X3 thermore this inequality does not yield the hypothesized inequali- ; between r and X1X3 rxlXZ or Does the hypothesized relation rx2x3‘ 1? Or to phrase it negatively, can there be a combination of imeters in this model for which the reliabilities are changing so stically over time that the rank order of the correlations between 2rved scores is inverted from the rank order of the correlations :he true scores? There are combinations which eliminate one [uality or the other. However if the variance of observed scores ‘eases over time, then r13 r12 (but not necessarily r13 r23). If variance is increasing from time to time, then r13 r23 (but not ssarily r13 r12). Of major importance to the present study is the Where the variance stays the same across time. In this case rxlxl = rXZXZ = rX3X3 = constant hence TXIX3 = ‘/rx1x1 IT1T3 V XSXE = ‘/rx1x1 rT1T2 TTZTS V rx3x3 If the: ad in If th 3C1 d0! 92 ‘lr = r . r X3X3 V rxlxl Tsz \er2X2 T2T3 V/;;1:__ 2 2 re is real change, then r 3 < l and so r < T2T X1X3 IXIXZ similar fashion _VrX1X1 r x2X2 = I‘ " I‘ T1T2 X2X3 re is real change, then IT T2 < l and so 1 r " r r " r rxlxs < rxsz f the variance is not changing, then both inequalities hold. The one simplifying assumption in this model which has not been d is the assumption that a particular variable is not influenced other variables in the system. If there is some (possibly unobserved) variable that does inter- usally over time with the observed variable, then the product rule at hold and the inequalities might or might not stand up depend- ‘the nature of the interaction. A general discussion of this case Pnd the scope of the present paper. However, in the case where hiances of the causally interacting variables do not change from time and where the correlations are also constant, there is a t theorem. Under these conditions, let ri. = the correlation J the value of T at time i and time j. Then In par Or not oatic r13 ( cméi IESI hr: the 93 rin —-)0 as n9” trticular this means that eventually rin is less than r12. Whether t the model predicts an immediate decrease (r13 < r12) is not at the present time, though for most sets of possible mathe- al parameters it would be true. That is, the predictions, r12 and r13 < r23, have been shown to be plausible under these tions but they have not been proved. Thus if the data showed, say, r12, it would not absolutely rule out real change in a multi- te interactive system. The Test for Real Change How then can the hypothesis of real change be tested given the retest correlations for three measurements on a given variable? the strong test is applied: Does the product rule hold? If r13 = 1"12 ° 1‘23 :here is strong evidence that 1. the coefficient of equivalence is 1.00; 2. all observed change is real; 3. that part of the real change which is not attributable to differences in initial value is attributable to nonrecurrent random factors; i.e., the observed variable can be studied in isolation. If the variable is not perfectly measured, the product rule will ld for the observed test-retest correlations (i.e., for the d variables). However, if the coefficient of stability is known, e test—retest correlations should be corrected for attenuation. ulting correlations are the estimated correlations between true SCONS ad t} negaz varia KEYS then posi vari ore r13 str obs 94 )res and those correlations should be tested for the product rule. Suppose that the product rule does not hold. If r13 < r12 r23 1 this is not due to sampling error, then there must be strong :ative interaction between the observed variable and some other iable. Thus there is real change but its nature depends in critical 3 on some other variable that may not have been observed. On the other hand, suppose that r13 > r12 r23. The question n becomes: how much bigger? In particular, is r13 so much bigger n r12 r23 that r13 > r12 or r13 > r23? Suppose that both statements true, i.e., r13 > r12 and r13 > r23. Then there should be a strong itive interaction between the observed variable and some other iable. A second test for this is that there should be a sizable in— ase in the variance of the observed variable over time. Thus if > r12 and r13 > r23, then there is real change but its nature is ”I angly determined by some other variable which may not have been rved. The cases for which r12 r23 < r13 < r12 and/or r12 r23 < r13 < are more ambiguous. There is real change in the observed variable, unless the coefficient of stability is known there is no way to 53 the relative contributions of instability and possible inter— ng outside variables. Finally there is the case r13 = r12 = r23. Here the strong Umptive hypothesis must be ”no change." If this is true, then = r23 = r13 is the coefficient of stability for that variable. If coefficient of stability equals the coefficient of equivalence, then kg, appropriate model is simple unreliability; both transient factors ood can be ruled out. If the coefficient of equivalence is larger chant affect COMI‘ obser ROI? ohse‘ ad fact trat 95 the coefficient of stability, then the observed variable is :ted by transient factors. Whether or not mood makes a significant vibution in this case cannot be tested in the data for any one lk*" ,r Ned variable but requires the cross-lag correlations for two or variables. Thus as was noted at the beginning of the chapter, the third ‘vation is critical to distinguish between real and apparent change hence critical for the differentiation of the mood and general tr models. The next section will present data from a third adminis- on of the questionnaire to Firm A. The Firm A Third Administration Data The MBO study questionnaire (Appendix A) was administered in ary, 1972 to the managers of Firm A who had participated in the and second administrations. Seventy—three (73) questionnaires sent and fifty—three (53) replies were received. Of the twenty ‘ ers who did not reSpond, it was learned that fifteen managers had rated, retired, or deceased in the eighteen months' time period { an the second and third administrations. These responses were i according to the seven scale research model developed by Chesser \ppendix B). Then the seven scale results for the three adminis— )ns were correlated and became the basis for testing whether or not was real change occurring in the MBO system. The means and standard deviations of each of the seven scales at woint in time are shown in Table 5-1. Unlike the total sample for _ or the sample for Firm B, the subsample from Firm A shows a L1 pattern of increasing means over time. Two of the variables, 96 able 5—1.-— Means and Standard Deviations for First, Second, and Third Administrations--Seven Scale Research Model-- Firm A Managers (n=53) Means Standard Deviations 3 Description Time 1 Time 2 Time 3 Time 1 Time 2 Time 3 Superior-Subordinate Relationship 3.17 3.22 3.25 .36 .35 .38 Goal Clarity and Relevance 2.77 2.97 3.01** .61 .48** .47** Orientation Toward MBO 3.09 3.36 3.26 .86 .96 1.01 Performance—Reward Association 3.76 3.70 3.67 .87 .65** .75 Subordinate's Influence Over Goals 2.73 2.98 2.93 1.19 .83 .93 Satisfaction With Job 3.13 3.12 3.35 .96 .78 .87 Success in Attaining Goals 2.78 3.09 3.19* 1.28 .35 .69** ignificant difference between time i value and time 1 at .05 level. ignificant difference between time i value and time 1 at .01 level. Goal the the gene Whit tin Goa 97 a1 Clarity and Perceived Success, show a significant increase over the ree year period from first administration to third administration. Using a test for the difference in variances (see note below), e variances (the standard deviations squared from Table 5—1) show a neral pattern of decreasing magnitude. There are two of the variables ich show a significant (p < .01) decrease in variance from time 1 to e 3. They are Goal Clarity and Relevance and Success in Attaining Is. Also, variable 4--Performance—Reward Association—-has a signifi— t decrease from time 1 to time 2. These significant differences gest real change within these system variables. Table 5-2 presents the correlation matrices for the three time riod data. These correlations were calculated for the responses to = questionnaire by the S3 managers from Firm A who were identified in , three administrations. Change scores are not represented in the rix. The product rule test for real change requires that the time 1, e 3 correlation (r13) for an MBO variable be less than either the e 1, time 2 correlation (r12) or the time 2, time 3 correlation (53). ires 5-1 and 5-2 are used to test these predictions. In Figure 5—1, time 1, time 3 correlations are plotted against the time 1, time 2 relations. The variables-~Subordinate's Influence and Perceived Suc- —-were included in the graph even though they are not used to mate the general factor. Two variables——Goal Clarity and Relevance Performance—Reward Association, respectively——do not meet the The author is indebted to Professor John Edward Hunter, Michigan State University, for the derivation of this test. 98 em. n KN. u ”.H mo odd; ucmofimacwfim Ho>oH Ho. Ho>oH mo. | \r . wmooosm po>floohod new spa: :OHuomMmHumw monosfimcH m.opwcflweonom coauwfiuomm< vhmzom-oo:mfiaomhom om: pnmzoe COHumpcoHHo oocm>oaom wed quHwHu Hmoo ”$598323 om opmcfluho smnaoflomsm :OHH Haemoo oHLdHHm> m.oEHH :H mucHom own I|||||||kBthiIIblllillllllllllll! HN Va 5 ON MH 0 ma NH m wH HH v NH OH m 0H m N mm m H mm.N.H QEHHU Honfioz oHQmHHm> :u um mofinmflhm> Eoumxm noosuoo mmHew:oHsuHo« ):. aoH em 0H m. m A RH. eH o. H v en m- m m m mH- o om .Hm mm em aoH oH «H n. Hm. H. o- 0 mm 0. NH DH an OH mH m- V. cm .m on 0H 0H oeH DH mm mH. A- Hm. N 3 mm m. mH mm mm a e- mm mm ”me mo m. «H oH OOH vm em mm: H». e .Hn mm oH mm no 0H mH a H- He ma om m n. mm em cOH em m. 0H. Hm Hm nN ow Km ow H» mm oH mH mm mm an n Hm: mH' vm om ooH n NH. aH WH vm we v mu H. m m: NH m a. on «H. H. 5. mm- m. m 00H as m e m o- m- 0 0H 0. 0H s m. a. m «H a. Hm- Hm. 0H. NH. oe oaH HH an- A. mH. 0H- NH: n- VH- wH o- a. HH NH- 0. o a e Hm OH 0 HH aoH H nH a. o Hm mm AH A m- m. “NH mm 5 mm o H» Hm NH e an. H aaH cm on oH mm NH mN VH em Hm mm mm v a. mm mm mm em m a. nH mm ooH on on om NH mm we mm vH .mm mm .vn NH nu ow om me an mH. u- on on ooH m H. H n v- m- mm m mm m. OH mH mw mm v m. 0H. 0 OH on m ooH no we «0 He mm so am e m on mm mm om n- 0 NH. H» mm om H- no ooH om me am am Hm .Hm om m OH on 0H Hm H- 0H m. mm RH NH H ve mm aaH H» m mm mm an me n mH s we mm m a. ¢H. NH mm mw n ea we Hm ooH mm mm mm mH o- mH. N. e. m OH on 0H 9H A wH ev v- Hv om n mm omH 0H mN mm v o «- mm H. 0H NH a o. n- «N mm m- Nm nm mm mm 0H ooH am an mm on on am He mm m m. a. m. an ¢H ma ov H» mm mm mm om Hm m me we mm e. H- OH NH we on m cm am 5» mH mm Hm no mm mm on an an m NH. am mm mm mm 0 cm me o- v mm Mm me ooH Hm VH a ow MH 0 9H NH m nH HH v NH aH q 0H 0 m mu m H upcoMoq J Hm vH N .nmv-I HN lm‘nmflkfl‘r‘m'“n'n .4 HH HH ‘4" gmvnn H ,xaakles of the general factor show real change and one—half of them The averaged static correlations increase in magnitude as a on of time; that is, ihl < T32 < r33. Since the static correla- s a function of the ratio of the relative strength of the general , there are two ways in which the static correlation might ‘ se-—one, by an increase in the variance of the general factor, and \ y a decrease in the variance of the specific factor. This poses eresting question: "Does the variance of the general factor go does the variance of the specific factor go down?” The answer to s a test of the differences in the variance of the general factor. ately the general factor is not actually observed. Therefore a test cannot be performed. However, since five of the MBO vari— re highly correlated with the general factor, each can act as an or of the general factor. Thus the sum of the five indicators give a reasonable estimate of it. Since the variables differ Table 5-3.-- Matrix of Averaged Static and Cross Lagged Correlations for the General Factor During the First, Second, and Third Administrations—- Firm A Managers (n=53) Variable .1 1. General Factor — time 1 .21 2. General Factor - time 2 .23 3. General Factor - time 3 .16 IN .23 .30 .25 [m .16 .25 .37 Significant value of r: .05 level = .27 .01 level = .34 105 ly in their reliability and their correlation with the general r, the variables were summed at the level of items rather than as ard scores. That is, the general factor was estimated by pooling tems from the five highly saturated scales into one large test. est was then scored for all three administrations. It should be that this estimated general factor is actually a variable in its 'ght and has its own specific factor. That specific factor is a ed sum of the Specific factors of the five MBO variables and gh it is relatively smaller for the estimated general factor, it ot be absent. Table 5-4 contains the means and standard devia— for the estimated general factor at each of the three points in There is no significant difference in the variance of the general over time. This implies that the increasing static correlations : variables that load highly on the general factor may be due to a me in the variance of the specific factors. At present there is ” ' to test this. Another test of change in the general factor is to compare the correlations for the general factor with the cross—lagged corre— s for that factor. That is, from the table, it is observed that d $52 are greater than $12‘ Also, r22 and $33 are greater than This is the pattern of relationships expected in the mood model the transient factor spuriously inflated the static correlations. Lf there is no change in the general factor, then the static Ltion may be spuriously high due to a transient factor such as A third test for real change is to directly calculate the test- / correlations for the estimated general factor. To do this, the 106 able 5-4.-— Means and Standard Deviations for the General Factor and Changes in the General Factor During the First, Second, and Third Administrations—- Firm A (n=53) Standard :ale Description Means Deviations 1. General Factor — Time 1 3.096 0.35 2. General Factor — Time 2 3.193 0.34 3. General Factor — Time 3 3.224 0.39 4. Change in General Factor 0.096 0.34 (Time 2 - Time 1) 0.031 0.31 5. Change in General Factor (Time 3 — Time 2) 107 sponses from the fifty-three Firm A managers to the five scales which timate the general factor were scored as one molar factor. In addi— on, change scores (time 3 - time 2 and time 2 - time 1) were calcu— ted. These scores were then used to calculate test-retest and impact rrelations. The matrix for these correlations are found in Table 4-5. e test—retest correlations for the estimated general factor when rrected/for attenuation provide a test of the product rule. That is, = test-retest correlation between time 1 and time 2 r GlGZ for the estimated general factor erG3 = test—retest correlation between time 2 and time 3 for the estimated general factor rG G = test-retest correlation between time 1 and time 3 1 3 for the estimated general factor ai = coefficient alpha internal reliability for the esti- mated general factor at time i (i = l, 2, 3) an, the product rule test is: 1‘6ng, 10162 rGZG3 ng the data from Table 4-5 . .51 indeed .45 é .43 h satisfies the test for the univariate model. Could the differences in the test-retest correlations be due to ce? One test for this would be to examine the differences in the 108 >le 5-5.—- General Factor Correlation Matrix for First, Second, and Third Administrations-—Firm A (n=53) General Factor - Time 1 General Factor - Time 2 General Factor - Time 3 Change in General Factor (Time 2 — Time 1) Change in General Factor (Time 3 - Time 2) l 1.00 .51 .40 —.53 -.04 Z. .51 1.00 .66 .46 -.26 2 .40 .66 .23 .56 lb .46 .23 1.00 -.21 {U1 .04 .26 .56 .21 .00 m V 109 ee test—retest correlations of the estimated general factor for tistical significance (see note below). The strategy for the test is to perform a 2 test on the sum of differences between the test-retest correlations of the three time Lods. The standard error for the sum of these differences is O = 6 (1—E) s n-l where: 5 = average correlation for the three test-retest correlations n = number of managers in the sample 1 for this study 0. M: 6__(-_4§)_=.23 53-1 52 the z score is calculated as _ (rGle ‘ rGlG3) + (r6263 " rclc3 G = (.51 — .40) + (.66 — .40) z = 1.61 h in using a one-tailed test is on the border for being significant he .05 level (2 @ .05 = 1.64). Interpreted this means that by a istical test the matrix of test—retest correlations of the esti- d general factor is not "flat"; i.e., there is a significant differ- between the test—retest correlations. This is support for the real e hypothesis at the .05 level. The author is indebted to Professor John Edward Hunter of Michigan State University for the derivation of this test. 110 Conclusions The results of these tests of the real change hypothesis cannot interpreted without qualification. In the three time period study ere is evidence, though not decisive, that there is real change in the served variables of the MBO system for a subsample of the Firm A nagers. The means and standard deviations for the seven scales of the m1A research model do suggest real change for several of the riables. Also, the analysis of the cross-lagged correlations for the ) variables produced evidence of real change. When five of the seven riables of the MBO system are grouped in order to provide an estimate the general factor, the corrected test—retest correlations do support a product rule test for real change. Also, the average static corre- Lions for the variables that correlate highly with the general factor :rease as a function of time, which suggests that more of the variance explained by the general factor across time. If this increase in tic correlations were due to an increase in the absolute strength of general factor, then it would mean a self-facilitory growth law for general factor. This in turn would mean that the impact correlation ld be zero or positive and the variance of the general factor was easing. 0n the other hand, it was assumed in Chapter Three that the real ge in the general factor was regression to the mean. This was used xplain the constant variance shown in the data. The data for the mated general factor does demonstrate regression to the mean and a tant variance across the three time periods. Why then do the static 111 correlations increase across time? One explanation would be to assume that there is a decrease in the variance of the Specific factors over time. At present, there is no obvious hypothesis as to why this might )6 true. A second qualification refers to the difference between the average static correlation and the average cross-lagged correlation. [he fact that the static correlations are larger than the cross—lagged :orrelations could also be due to a Spurious inflation of the static :orrelation due to the mood variable. It is important to note that the subsample of fifty-three Firm A lanagers is deviant from the total sample of seventy—three Firm A mnagers in the two time period study. That is, the static correlations, 5 well as the dynamic correlations, for the subsample during time 1 md time 2 are different from those same correlations in the total lample. If this difference were due to the abnormally bad static corre— .ations for the subsample at time 1, then most of the evidence for real hange could be attributed to sampling error. The data does suggest that there was real change in the general actor for the questionnaire used in this study. However, the test was eak. The qualifications placed on the conclusions of the test for real hange can be removed only with the availability_9f_additional data to rovide a more precise analysis. CHAPTER 6 SUMMARY AND IMPLICATIONS OF THIS RESEARCH This research has addressed a number of methodological issues in 1e assessment of attitude in a longitudinal study. These issues center ton the assessment of real change in the variables of a Management By 'jectives (MBO) system. Data were collected at three points in time in one organization irm A) and at two points in another (Firm B). During the replication 'the Chesser study and the subsequent revision of that research model veral contradictions to the basic assumption of real change were nsidered and evaluated. The analysis and explanation of these contra- ctions defined the direction of the research reported here. The ecific research objective for this project has been to determine ether the observed changes in attitude for managers who participated the MBO programs of two large organizations were real or only parent. Several mathematical models have been derived to explain the 1 or apparent change in attitudes in that data. One model, which did the data, assumed real change and represented a general factor of t real change. This model with its various assumptions did explain data in the two time period study. At the same time another model, "mood" model, which assumed there was no real change in the atti— es of the managers, also explained this same data. It was concluded t two administrations of the MBO study questionnaire were not ficient to test either model. The third administration of the questionnaire to the Firm A agers provided a test which resulted in the conclusion that real mge was observed in the MBO system during the three time period dy.« Then, the model for real change in the general factor, as ived in Chapter Two, was used as a basis for interpretation of the a from this longitudinal study. A significant finding from this test for real change in mana- ial attitudes was the existence of a general factor which underlies MBO system in both organization samples. The content of this factor ars to be comprised of at least five of the seven variables eloped from the MBO study questionnaire that are highly correlated seem to be appropriate estimates of the general factor. These five iables are 1. Superior-Subordinate Relationship 2. Goal Clarity and Relevance 3. Orientation Toward MBO 4. Performance—Reward Association 5. Job Satisfaction The General Factor model assumes that the one general, or molar, or accounts for all of the observed correlations between the ables of the MBO system. Another component of the observed scores, "specific" factor, is assumed to be the residual or that portion of of the true scores that remains after the general factor is par- led out. This model also assumes that the Specific factor is not elated with any of the other specific factors within one administra- or between administrations. Thus the specific factor may not be a meaningful one, although it is an important component in the model. 114 he general factor model does predict the three time period data quite ell and does meet the product rule requirements for real change. There are several possible interpretations of the general actor. One is that it is some representation of the manager's satisfac— ion with life or life—style. Another might be the manager's attitude award work and the environment in which that work is accomplished. A lird possibility might be designated as the manager's attitude toward 1e mastery of the job or task assigned. The primary reason that the :finition cannot be more precisely defined is because the boundaries of 1e MBO system are not precisely defined. A common denominator for all three of these interpretations for .e general factor is that they are manifestations of attitudes that 11 affect all managers and may be in part outside the identified stem under study. Also it is assumed that they would account for all e correlations in the system. Obviously there are other possibilities, d future research will be directed at the discovery and analysis of se and other potential general factors. A second finding which resulted from the consideration of the no 1 change models was the potential for some ”mood" variable to be sent and influencing the managers of the study. Mood as used in the el was the consideration of a transient factor or a temporary psycho— ical condition that acted as an error of measurement in the longi- inal study of observed scores for the managers. The mood variable rates as a significant component in the static, dynamic, and impact relations for the data. Since mood was assumed to be transient and dom and therefore not correlated between administrations, it does not e an influence on the cross-lagged correlations. 115 Could the "Hawthorne Effect” be the mood variable? No, as the 1 Hawthorne studies indicated, the effect would be a constant for all anagers and would be evident only in the changing means for the observed cores. Since the means in the variables for this study did not change, he traditional interpretation of the Hawthorne effect would not satisfy he requirements for the mood variable. A second possibility which might define the mood variable is the situation at wor .” The Litwin and Stringer (1968) study of the ffects of organization climate (technology, leadership style, rules, olicies, organization structure, etc.) upon aroused motivation of 1 hnagers provides some indication of the determinants of a managerial hod. These "climate" variables must be transient conditions to be con— idered as candidates for the mood variable. Also, unless these condi- ions are individualized, their effects will not cause a change in the ariance or the correlations for the variables of the system. Thus, rganization climate is not a candidate for the mood variable. Although the data from the third administration of the MBO study estionnaire supported the test for real change and the general factor del, it is important to note that the general factor model does not 1e the possibility or presence of the mood variable. The two models 3 compatible. If it is assumed that the error term in the general :tor model is an aggregate of mood and unreliability, the mood com- lent and its influence in the model can be used in conjunction with > real change in the general factor to interpret the data. Further earch will be required to fully test the compatibility of these els. ”gt—w w 116 Implications of This Research One of the most important contributions of the research reported ere is the relevance it has for further research into and the actual ractice of an organization change program such as MBO. Implications for Practice It is obvious that the assessment of real change in attitudes of anagers participating in change programs can have big payoffs for rganization developers. Real change in attitudes is a difficult lenomenon to measure. Once measured, it is even more difficult to iterpret effectively. One conclusion from this project which is very 1portant to organization change Specialists is that at least three time‘/ :riods are required to arrive at a conclusion that change has occurred. Another significant finding for organization change or develop- nt programs is that a variable outside the system under study may be e real source of change within a particular system. For example, the neral factor, however defined, is the real change component. A change ogram that does not attempt to identify, or recognize, the potential such a variable may not achieve the results desired. The same is ue for a "mood" variable. Future research will attempt to more early define the relevant variables that are correlated with present 3 variables. This will give more consideration to the identification the system boundaries. The fact that the no change hypothesis could not be unequivo- )ly rejected for the three time period Study in Firm A deserves some xsideration. For the Firm A managers, an MBO program was implemented :ween time 1 and time 2. Also, between time 2 and time 3, Firm A 117 mdertook a major reorganization. Yet, the real change in attitudes bserved in the MBO system was very small. Thus, the resistance to mange by the Firm A managers must be considerable. The resistance to a mange in attitude may be represented by these variables, mood and the eneral factor, which were not included in the original orientation of his longitudinal study. Organization development programs should ecognize the existence of factors such as these and direct some atten— Hon toward the real change in these variables. Implications for Further Research ‘ This research project is not an end itself, but a means to a Ftter understanding of changes in the attitudes of managers participat- ng in a program such as MBO. The results of this project suggest ther hypotheses to be tested in the continuation of this longitudinal tudy. One of these future hypotheses will consider the question: "What re the boundaries of the MBO system?" This question is based upon the Vidence that the causal factors for change in both the general factor d the mood model were not explicitly defined as entities in the iginal research model. This being the case, future research is quired to define the existence of the general factor and the mood Ctor and to ascertain whether they are in part or in total a part of 3 explicit system. That is, are home, family, or community (political, rvice, and social organizations) a part of the system or just the work :anization and MBO? Until the boundaries of the system are defined, general factor cannot be comprehended. If the questionnaire used e were incremented to assess the managers' commitment to these areas 118 of interest, the important parts of the boundaries of the system could be identified. Future research must take into consideration some deficiencies in the instrument. Revisions would include 1. Some attempt to develop a set of items to measure mood directly. 2. Items which assess how MBO assists a manager in working with his subordinates. 3. Items to augment those scales which have poor internal scale reliability. Firm B has granted permission to administer the questionnaire for a third time in the Spring of 1973. The third administration data ;hould provide an important test of the real change hypothesis. Not )nly will the sample be larger than that for the Firm A managers, the ’irm B managers could be pooled with the Firm A managers for a better est of the three time period data. In summary, the research reported here is an important step in etter understanding the impact of organization development and change rograms and, in particular, Management By Objectives, upon the atti— ldeS of managers. The development of the mathematical models of :titude change has explained a large amount of empirical data. Most mortant, a theoretical framework for further longitudinal studies has en provided. APPENDICES Note: 1. APPENDIX A MBO STUDY QUESTIONNAIRE Items 1—47 common to administrations at time 1 and time 2 for both Firm A and Firm B. Items 48-55 administered at time 1 and time 2 to Firm B only. Management By Objectives Study answer the following questions as truthfully as you can. ionswer questions in o truthful and careful manner. two academic researchers conducting this study. The success of this study depends on your willing- Your responses will be held in the strictest confidence The company will receive only summary data concerning this raring questions having to do with the Management by Objectives, assume the question is referring to lost MBO effort unless the question specifically states this is not the case. at, in your. opinion, was the level of difficulty Extremely difficult o the objectives set for your position? Quito diff'cult I Moderately difficult Not too difficult —_____... Easy at, in your opinion, was the level of difficult Quite difficult o the personal development objectives set or - - you? Moderately difficult Not too difficult Easy No personal development objective what Extent did the objectives set for you un- ‘- To a very great degree der MBO reflect the most serious and press- . T 1d ing needs of your department and the company? 00 grea egree To a moderate degree To a minor degree Did not focus on any real needs of department or company What degree did the personal development ob- To a very great degree jectives set for you reflect your personal de- Too great degree 7 . Velopment needs ' To a moderate degree To a minor degree Did not focus on real deficiencies w often were you given feedback on your pro- ‘ VOTY f’OQWMIY grass on your objectives ? Frequently Occasionally Rarely -. Nnvm To (A Very umut (lemma l u (I great degree ____ To a moderate degree ,__ To (1 rmrmr dam". Hot at all Liuull‘].bluwd _ What extent were your objectivm. clearly stu- ted with respect to results expecto 119 120 hot extent was the relative importance of >ur various objectives pointed out to you? I . To a very great degree To a great degree To a moderate degree To a miner degree No clues given as to the relative importance of performance goals wt extent do you feel you control the means reaching your objective ?- often were you given feedback on your pro- iss on your personal development objectives 'hat extent do you feel you had too many iectlves ? much emphasis did your boss put on attain- your personal development objectives ? did the amount of effort you put into your last your compare to that of previous years ? lo relations with your boss at the present e compare to your relations With him dur- previous years ? uccessful were you in attaining the actives set for you under MBO ? To a very great degree To a great degree To a moderate degree To a minor degree Do not control means of reaching goals Very frequently Frequently Occasionally Rarely Never To a very great degree To a great degree To a moderate degree To a minor degree Not given too many performance goals A very strong emphasis A strong emphasis A moderate emphasis A minor emphasis. No emphasis at all Very much greater _ Much greater Somewhat greater A little less A great deal less Our relationship is much improved Our relationship is moderately improved No change Our relationship is somewhat worse Our relationship is much worse Performance was much higher Performance was a little higher than the goals 5 f e Performance was about equal to the goals 5 t e Performance was a little less th Performance was much less th 'you in attainipu uccessful were . _ objectives tonal development your ? improwment was much Improvement was a little higl improvement was about lmpmVoment was a little improvoment Was much an lite goals set an the goals set higher than goals set ier than the goals set equal to the goals set loss than the goals 3 loss than the goals 5:: llll ill llll NW NW Ill/l Hill I 121 lb ectlves have been set for you for 3979. under 00. How does the level of ehiectivu com- pare with the level of these goals la st year ? his year new personal development obiectives have been set for on under the MBO system. How does the dizficulty of these obiectives compare to those of last year ? ho had the most influence on setting the ebiectives for you ? to amount of change associated with my job is: 0 number of contacts w/persons Much more frequent than contacts w/persons inside my dept. outside my Dept. are: More frequent than contacts w/persons inside my dept. Equal in frequency to the contacts w/persons inside my dept. Less frequent than contacts w/parsons inside my dept, Much less frequent than contacts w/persons inside my dept. w much of an interest do you think the com- pany has in the M80 system ? in! much of an interest do you think your boss tea in the MBO system ? Very much higher ._._..__. Much higher ______ A little higher __...__t ._ Alum! tine sumo A little lower Much lower Much more difficult A little more difficult About the some _________ A little loll difficult m Much less difficult My boss had much more influence than l _— My boss had somewhat more influence than i _______ My boss and .l had about equal influence __ i had somewhat more influence than my boss i had much more influence than my boss __..__._ Much more than most other jobs at my level More than most other tabs at my level Equal to most other jobs at my level Less than most other iobs at my level Much less than most other jobs at my level A great deal of interest A moderate amount of interest Some interest Very little interest No interest A great deal of interest A moderate amount of interest Some interest Very little interest No interest \ N ch statement best describes H° '°'°lY makes suggestiOns ,0 me he manner in which your boss He gives me some ideas but i could use muCh more he! \ ' f rmin our . p. win! you m per 0 9 Y Sanguines my boss helps me how to plan to m h N ob? , lective and sometimes he doesn't, ac 0" °b‘ Generally when l encounter a serious obstacl -\ will suggest ways of overcoming it, o my boss Generally when a serious obst ' OClO Ol’lsosl Id; \ with my boss and we revise the iective. 360:: it 5"“05” and the ob. lilcli statement lwst (lesi'rllu-s thc prom-”i difficulty your boss has in measuring 'I you! ’ir't lur'imltu'rt 7 rich statement best describes the concern of your boss for your career ? iich statement best describes the lKind of feedback you generally get from your boss about your performance ? 122 My work is too complex to express in terms of standards of performance My boss is barely able to determine if I have done a good io Sometimes my host. knows enouqh about the work l rlu in "who u iwlunrnr-ut ulmut my 'wrlm- mum n, uriirinltmnh lm‘ iluann't l have some measures of performance in practic- ally every area of responsibility. l have verifiable worl< objectives: l mean, at the date agreed upon, my boss can tell readily how close l'vecome toaccomplishing my goal. My boss feels this is my responsibility, not his. He might discuss career plan with me but views this outside his responsibility. He will discuss my long term career objectives with me if l push him to do so. We have agreed on specific things l need to do or my self-improvement. My boss is interested in my development and views setting workobiectives as part of this process. l'm luclry if l get any hint from higher manage. ment on how well l'm doing my io . There are too manytimes when l really don't know what my boss expects 0 me. The only real feedback about my performance comes through official channels. lgetsome specificfeedback about my performance but l need more. Much of the information l get about my performance is objective and not just subiective and this helps. w often does your bossask your opinion when Almost always 1 problem comes up that involves your work? Most fth 9' 0 e me Sometimes Rarely what extent you do feel you can influence the de- To a . a g V . yer ISions of your boss regarding tnmgs about which y great degree 'ou are concerned ? To a great degree To a moderate degree To a minor degree Not at all our opinion, how capable a manager is your boss ? E xtremely Co 5 P0 le Quite Capable COPflhle Not tog COPOble N°l ccPt'lble good is your boss in dealing with people ? n all, how satisfied are you with your 5055 ? Very effective Quite effective Moderately effective Not too effective lmffecfin nVery satisfied F . cmte satisfied cirly well satisfi d l' e A .ittle dissetis“ Very rlir “led “soiitlh I a“ \ 123 onsidering your skills and the effort you put into the iob, how satisfied are you with the pay ? you had a chance to get a much better paying iob working for another company in this area, how would you feel about changing ? your opinion, to what extent will your actual iob performance affect your future salary increases ? your opinion, to what extent will your actual job performance now effect your future promotions ? general, how much time did your boss devote to the M30 system during 1970? o :i had the most influence on setting personal de- velopment obiectives for you 7 ‘ your boss indicate any priorities for your per- sonal development objectives? i well do you like the M80 system .7 general, how applicable do you think the MBO system is to your io ? I helpful has the MBO system been to you in ”trimming the duties of your job? Very satisfied Quite satisfied Fairly well ultisflnll A little rliqurtinliml Very illneutiefiml i would strongly prefer to stay here lwould somewhat prefer to stay here l would have 0 hard time deciding l would somewhat prefer to change l would strongly prefer to change to the other company To a very great degree To a great degree To a moderate degree To a minor degree lt will not affect it at all To a very great degree To 0 great degree To a moderate degree To 0 minor degree They will not be related at all A great deal of time Quite a bit of time A moderate amount of time A small amount of time Very little time My boss had much more influence than I My boss had somewhat more influence than l My boss and I had equal influence l had somewhat more influence than my boss l had much more influence than my boss Ye S No I like it very much I like it pretty well l like it in some ways but not in others l don't like it very much l don't like it at all Very applicable . Quite applicable Foirly opplicoble Not too applicable Not at 0” applicable Very helpful Quite helpful Fairly helpful Not too helpful Not at all helpful __...——— l l 124 . . r interesting is the work in your present iob? Extremely interesting Quite interesting Fairly interesting Neither interesting nor uninteresting Not at all interesting :h of the statements best describes Received only praise with no criticism to amount of praise you received Received mostly praise with iust a little criticism om your boss about your performance Received about an equal amount of praise and criticism 5‘ year ? Received mostly criticism with iust a little praise Received only criticism with no praise concerned do you feel your boss would be if you Very concerned Iiled to achieve the objectives established for Quite concerned . . . . 9 our lab to 0 Significant degree . Somewhat concerned Just slightly concerned Not at all concerned t kind of criticism would you receive from your Extremely severe criticism 055 if you failed to achieve the obiectives es- Q ite s ver crit‘c' Iblished for your job to a significant degree ? U 8 e ' ism Somewhat severe criticism Mild criticism No criticism at all important is it for you to know what your boss Extremely important 7 n l ants you to do . Qurte important Somewhat important Slightly important Not at all important important is it for you to have definile P°llCle5 Extremely important id procedures to help you in Performing your job ? Quite important Somewhat important Slightly important Not at all important your boss establish priorities for your perform- Yes we sea 5 ? No 1 your performance goals were estab- I felt I had more than a 90% chance of attainment shed, what did you feel about the pro- I felt l had about a 75% chance of attainment :bility of their attainment? I felt I had about a 50% chance of attainment . i felt i had about a 25% chance of attainment I felt l had less than 0 "1% chance of attainment llll l ‘ l Ill/l II If!!! Mill Hill 125 N satisfied are you with the present amount of in- VOIFY 30'lele Fluence you have on the decisions of your boss Qurte satisfied that relate to your work? Fairly well satisfied A little dissatisfied Very dissatisfied v important is it to you that you do a better iob Extremely important han other people who have or had your iob ? , Quite impoflom Somewhat important Slightly Important Not at all Important 'our opinion, to what extent will effort increases To a very great degree in your part load to increases in the level of your To 0 9,00, degree a f n ? per 0mm co To a moderate degree To a minor degree They will not be related at all what extent do you experience a feeling of per- To a very great degree :rrlleatiz:omplishmelnt and satisfgction in fully Tea great degree ' p 9 your 9°° assignmen s ' To a moderate degree ‘ To a minor degree No feeling of personal accomplishment and satisfaction in your present situation in life, rank Opportunity to use one's skill he following items in order of their. Opportunity to experience a sense of accomplishment mpertance, 1 thru 7, considering l to Salary be most important and 7 the least Recognition in current iob mportant. Promotions Pleasant co-worhers Job Stability en your present_situation in life, how important - Extremely important re uture promotions to you . Quite important Somewhat important Slightly important Not at all important Met—0"! ase make additional comments about MBO strengths or weaknesses. suggeStions ' changes and/or improvements will be particularly helpfu1, _.___________ APPENDIX B CHESSER SEVEN SCALE RESEARCH MODEL Note: These scales were developed by Chesser using data from Firm A managers (Chesser, 1971, pp. 9-15). APPENDIX B This Appendix lists the items in each of the seven scales of the ioral Model and its corresponding coefficient of internal relia- y (r11) and change score reliability (rdd). Aperior—Subordinate Relationship r11 = .96 rdd = .94 The scale is composed of the following items, keyed numerically : sample questionnaire in Appendix A: 5. How often were you given feedback in your progress on your performance goals? 8. To what extent do you feel you control the means of reaching your performance goals? 9. How often were you given feedback on your progress on your self-improvement goals? 11. How much emphasis did your boss put on attaining your self-improvement goals? 21. How much of an interest do you think the company has in the CPA program? 22. How much of an interest do you think your boss has in the work planning and review program? 23. Which statement best describes the manner in which your boss helps you in performing your job? 25. Which statement best describes the concern of your boss for your career? 26. Which statement best describes the kind of feedback you generally get from your boss about your performance? 27. How often does your boss ask your opinion when a problem comes up that involves your work? 28. To what extent do you feel that you can influence the decisions of your boss regarding things about which you are concerned? 126 29. 30. 31. 36. 43. 44. 45. 127 In your opinion, how capable a manager is your boss? How good is your boss in dealing with people? All in all, how satisfied are you with your boss? In general, how much time did your boss devote to the CPA program? Which of the statements best describes the amount of praise you received from your boss about your performance last year? How concerned do you feel your boss would be if you failed to achieve the goals established for your job to a significant degree? What kind of criticism would you receive from your boss if you failed to achieve the goals established for your job to a significant degree? lal Clarity and Relevance 1”11 Th = .90 e rdd = .87 scale is composed of the following eight items: What, in your opinion, was the level of difficulty of the performance goals set for you? What, in your opinion, was the level of difficulty of the self-improvement goals set for you? To what extent did the performance goals set for you under the program reflect the most serious and pressing needs of your department and the company? To what extent did the self-improvement goals set for you reflect your personal development needs? To what extent were your performance goals clearly stated with respect to results expected? To what extent was the relative importance of your various performance goals pointed out to you? Which statement best describes the present difficulty your boss has in measuring your performance? Did your boss indicate any priorities for your self— improvement goals? fizz-(as? 128 rientation Toward MBO 11 = .80 rdd = .50 The scale consists of the following three items: 39. 40. 41. How well do you like the CPA program? In general, how applicable do you think the CPA program is to your job? How helpful has the CPA program been to you in performing the duties of your job? erformance-Reward Association r11 = .84 r = .68 dd The four items in the scale are: 34. 35. 46. 47. In your Opinion, to what extent will your actual job performance affect your future salary increases? In your opinion, to what extent will your actual job performance affect your future promotions? How important is it for you to know what your boss wants you to do? How important is it for you to have definite policies and procedures to help you in performing your job? )ordinate Influence Over Goals 1‘11 = .75 rdd = .50 The scale is composed of two items: 18. 37. Who had the most influence in setting the performance goals for you? Who had the most influence in setting self—improvement goals for you? 129 Satisfaction With Job r11 = .58 I‘dd = .35 32. Considering your skills and the effort you put into the job, how satisfied are you with your pay? 33. If you had a chance to get a much better paying job ‘ working for another company in this area, how would you feel about changing? Perceived Success = .6 = . 0 I11 5 rdd 3 14. How successful were you in attaining the performance goals set for you under the overall Performance Appraisal Program? 15. How successful were you in attaining the self- improvement goals set for you last year? APPENDIX C OTHER FINDINGS IN THE REPLICATION OF THE CHESSER MBO STUDY Note: The data from two administrations of the MBO questionnaires for Firm B managers (n=ll7) were used in this replication study. APPENDIX C OTHER FINDINGS IN THE REPLICATION OF THE CHESSER MBO STUDY This appendix describes the step—by-step replication of the :sser research using data from Firm B. The appendix begins with a cription of the fourteen scale model of the MBO behavioral system. 5 section includes a detail analysis of the inter—scale correlations, 1e reliabilities, scale means, and standard deviations for that e1. The next section presents a similar analysis for the seven scale e1. The third section describes the use of dynamic and cross—lagged el correlations for the assessment of causal relationships and to 1d an effects diagram of the MBO system. Fourteen Scale Model The 55—item, Likert type questionnaire was administered to agers of Firm B at two points in time. The first administration in :h 1970 produced 600 completed questionnaires and the second adminis- :ion in August 1971 yielded 548. These responses were multiple group :or analyzed using the system of correlational analysis programs Led "PACKAGE" developed by Hunter and Cohen (Hunter and Cohen, 1971). Table C-l shows the structure of the fourteen scale research :1 originally developed by Chesser (see Chesser, p. 10). The scales resent the following variables in the MBO system. 130 131 Table C—1.-- Fourteen Scale Model Questionnaire ale Description Item Numbers 1. Use of goal oriented methods 5,9,11,21,22,36 2. Satisfaction with boss 29,30,31 3. Self—improvement goal clarity 2,4,38 4. Performance goal clarity 3,6,7,24 S. Orientation toward MBO 39,40,41 6. Boss concern with failure 44,45 7. Boss SUpportiveness 23,25,26,43 8. Influence over boss 8,27,28 9. Need for policy 46,47 0. Association between performance and rewards 34,35 1. Influence over goals 37,18 2. Performance goal difficulty 1,10 3. Satisfaction with job 32,33 1. Success in attaining goals 14,15 2f: Chesser, p. 10. .-, "/ 132 Scale Number Description 1. Use of goal-oriented methods 2. Satisfaction with boss 3. Self-improvement goal clarity 4. Performance goal clarity 5. Orientation toward MBO 6. Boss concern with failure 7. Boss supportiveness 8. Influence over boss 9. Need for policy 10. Association between performance and reward 11. Influence over goals 12. Performance goal difficulty 13. Satisfaction with job 14. Success in attaining goals 11 of these variables are perceptions of the manager or a reflection of is attitude toward the goal oriented system. Table C—2 presents the inter-scale correlations for the first and econd administrations of the questionnaire to both Firm A and Finn B. he pattern of correlations between the two administrations is very imilar. To determine any statistically significant difference between he Time 1 and Time 2 correlations, both are transformed to 2 values (a ischer r to z transformation). The standard error of the difference etween the two correlations is obtained by: where: nl = number of subjects in Time 1 sample n = number of subjects in Time 2 sample (McNemar, p. 190) ten the ratio of (21—22) to its standard error (021.22) is calculated to ltain a 2 value. Mathematically, this is: z = (z l—zz)/Ozl—z2 133 NN. ON. NN. OH. ON. ON. OO. OO. NH. OO. OH. HN. NH. OH. OH. OH. ON. ON. OH. OH. OH OO. NO. OO. NH. NO. OO. ON. OH. OH. NO. HO. OH. NO. NO. OO. OH. OO. NO. OO. OH. OH OO. OH. NN. OH. OO. NN. NO. OO. OO. OO. OO. OO. NH. OO. NH.- NO.- OO. ON. NO. HO. NH OO. OO. OO.- OO. HN. OO. OO. NO. ON. NN. OO. OH. HO.- OH. OH. OO. ON. HO. OH. HN. HH OO. OO. NH. ON. OO. OO. OO. NH. OO. OO. OO. ON. OO. NO. OO. ON. OO. OO. OO. NN. OH NO. NO. OO. OH. OO. OO. NO. OO. ON. OO. ON. OH. ON. ON. NH. ON. OO. NO. ON. ON. O NO. OO. OO. OH. OO. OO. NO. NO. ON. NO. ON. HN. OO. OO. OO. NO. OO. OO. OO. OO. O NO. OO. OO. HN. OO. OO. HO. OO. OO. OO. OH. ON. HO. OO. ON. NO. NN. ON. OO. OO. N OO. NO. OH. OH. ON. ON. OO. ON. HO. OO. OO. OH. HO. HO. NO. OO. OO. HN. ON. OO. O OHezoe ammuOHOOHHO+ OO. OO. HO. HO. OO. NO. HN. ON. ON. HN. ON. NN. OO. OO. OO. OO. O NHHHOHO HOOO OOOOEHOOHOO. OO. NO. NO. OO. OO. OO. ON. OO. OO. NO. HO. HO. O NHHHOHO HOOO ecoEo>OHOeH-OHOO. ON. ON. OH. OO. OO. OO. HN. OO. O HOHHoOOO OOH: OOHHOOOOHHOOO OO. NO. HO. HO. N OOOOHoz OOHOOHNO HOOO Oo OOO. H O O m NO HO N< HO NO HO NO H< NO HO NO H< NO HO N< H< NO HO N< H< m“ OHCONUMMMoou :ofiumHOHHou paw moEmz ofinmflhm> m. ammg :oHpmHumacHEoz ocoovo 133(a) OH. wo.n No. mo. NH. mo. No. Ho.a wN. ON. mH. mH. OH. mN. NN. HN. ON. Hm. ON. Ho.- OH mO. Om. Om. OO. NH. HN. oH. ON. OO. OO. Hm. mo. Om. mO. OO. OH. mN. mN. mH. NH. mH oH. mo. 00. O0. Ho.- mH. mo. No. mH. No. om.- mo.. 00. mo. mH.u oH.: OO. ON. Ho. mo. NH OH. OH. NH.| moi ON. NH. 0H. Oo. OH... OH... Ho... emf mo. wH. mo. me. am. om. Ho. 00.: HH phmzomIMmmMKHoHHomO HN. Nm. HH. OH. mO. OO. Om. ON. Nm. Nm. mm. wN. om. mO. oH. HN. oH NOHHom How Huoez.1 we. HH. oo. mo.- NN. mN. Ho. NH. MO. Nm. oH. NN. m mane: Ho>o oocosHmcHO ww. ON. mo. NO. Hm. NO. ON. mH. w mmoco>HuHommdm HOHNOQSmO MO. om. OH. mm. N OHSHDH cqu :Hoocou NOHHomsmO o m O m N H 0H m m N o H mm Hm N< H< Nm Hm N< H< Nm Hm N< H< Nm Hm N< H< Nm Hm N< H< W” T. 9 s mHCOHonmoou :OHumHoHHou pzm moswz OHanHm> Hc>oH HO. MOO. u Ho>oH OO. -- O EHHO Ho>OH HO. MON. u Ho>oH OO. -- < EHHO "H mo mosHm> HOSE HOOHO mmooosw vo>HoohomO 133(b) coHOOOOOHHOO OOO. NH.: mm.u om.u NH.| mo. OH. OH.| HH. OOHOOHOOHO HOOO. OH.- OO.- OH.- OO.- HO.- OH. HH. NH. NN. HN. OO. OH.L Hmoo Ho>o mucouscHO OH MH NH MVLDOWOOOI HN mH NH mm Hm N< H< NO HO NO HO WHCOHUHHH®OJ :34434DHH3J 1:10 ODHHa: )4334a‘3- SI q? "_[lBA nus—h?” 134 if the z value is found to be significant, this indicates that the :orrelations are different. Table C-3 shows the significant r value .ifferences for Firm A and Firm B. Table C—3.-- Significant Differences Between Correlations for Firm A and Firm B (Tl—T2) Firm N1 N Oz 2 Significance Significant 2 1- 2 Level Difference A 128 119 .119 .05 .233 .01 .277 B 600 548 .044 .05 .086 .01 .119 le fourteen scale research model shows a very similar correlational lttern across the samples. The scale reliabilities for the fourteen :ales are exhibited in Table C—4. These reliabilities are the average ’the coefficient alpha reliability measures produced by the PACKAGE 'Ogram for the Time 1 and Time 2 administrations. Coefficient alpha is measure of the expected correlation of one test with an alternative rm of the test containing an equal number of items (Nunnally, p. 196). esser collapsed the fourteen scales down to seven in order to improve 6 internal and change score reliabilities. The resulting seven scale del is discussed in the following section. 135 Table C—4.--Comparison Between Firm A and Firm B Reliabilities of Fourteen Scales Internal Change Score Scale Description Reliability Reliability (rxx) (r d d) Firm Aa Firm Bb Firm Aa Firm BC 1. Use of goal-oriented methods .95 .87 .90 .74 2. Satisfaction with boss .90 .91 .88 .85 3. Self-improvement goal clarity .60 .48 .54 .12 4. Performance goal clarity .68 .69 .53 .45 5. Orientation toward MBO .80 .86 .50 .59 6. Boss concern with failure .57 .62 .35 .24 7. Boss supportiveness .78 .72 .70 .55 8. Influence over boss .60 .64 .29 .38 9. Need for policy .48 .59 .31 .09 10. Association between performance and reward .84 .77 .68 .52 11. Influence over goals .75 .69 .50 .52 12. Performance goal difficulty .44 .38 .44 .00 13. Satisfaction with job .58 .58 .35 .12 14. Success in attaining goals .65 .54 .30 .06 aChesser, p. 44. bInternal reliability for Firm B is the averaged standard score coefficient alphas for fourteen scales from data samples of 600 managers in first administration and 548 managers in second administration. cCalculated by Equation 10.25, McNemar, p. 157. 136 Table C-5 contains the means and standard deviations for the fourteen scale model. These statistics are based on the reSponses from 117 Firm B managers identified in both the Time 1 and Time 2 samples. Seven Scale Model The results of the condensation of the fourteen scale model into a seven scale model are diSplayed in Table C-6. Appendix B contains a description of the scales and the items which make up each scale. One scale, Superior—Subordinate Relationship, contains eighteen items. Another, Goal Clarity and Relevance, combines those scales which previously measured both performance goals and self—development goals. The scale, Performance—Reward Association, consolidated responses by the managers to subscales representing the perceived relationship between dollar rewards and performance plus a response to the subscale represent- ing the individual's need for rules and policies. Since the upper limit of scale combinations was defined by the number of items in the questionnaire, some change in the character of the scales was inevitable. The strategy for scale development was three— fold. First, by ”external" analysis, if scales or items do cluster together, they will demonstrate a similar pattern of correlations with other items not in the scale. Also as an external indicator, if items in a scale are similar they should not have opposite signs for their correlation coefficients with a third item. Second, as an "internal" analysis measure, the scales as augmented should have items which are highly related to one another. In other words, they should have an acceptable measure of internal reliability for a standard such as Coefficient alpha. Third, the scales as condensed should possess a 137 )le C-5.-— Scale Means and Standard Deviations of Fourteen Scale Model For Firm B Managers at First and Second Administration of the Questionnaire Mean§_ Standard Deviations as First Second First Second Administration Administration Administration Administration 3.28 3.31 0.81 0.72 3.95 4.04 0.98 0.88 2.74 2.78 0.51 0.57 3.16 3.21 0.57 0.47 3.73 3.51 0.89 0.92 3.39 3.33 0.79 0.76 2.54 2.49 0.78 0.74 3.48 3.51 0.64 0.65 4.29 4.16 0.68 0.76 3.54 3.35 1.01 1.01 2.64 2.80 0.90 0.90 2.51 2.58 0.63 0.65 3.30 3.34 0.89 0.88 3.10 2.98 0.77 0.79 138 Table C-6.-—Seven Scale Research Model Questionnaire Scales Item Numbers 1. Superior-subordinate relationship S,8,9,11,21,22, 23,25,26,27,28, 29,30,31,36,43, 44,45 2. Goal clarity and relevance 1,2,3,4,6,7,24, 38 3. Orientation toward MBO 39,40,41 4. Performance-reward association 34,35,46,47 5. Subordinate influence over goals 18,37 6. Satisfaction with job 32,33 7. Success in attaining goals 14,15 Reference: Chesser, 1971, p. 11. 139 similarity of content among the various items within that scale. The responses from Firm B have been scored using the seven scales developed for Firm A data. The inter-scale correlation coefficients are shown in Table C-7. The criteria for testing significant differences between Time 1 and Time 2 correlations are the same as those used in the fourteen scale model. DeveIOpment of Effects Diagram In this section, the data from Firm B has been used to calculate the dynamic correlations and cross—lagged panel correlations between the scales of the seven variable model. From these correlations, an infer— ence of causal relationships was made and an effects diagram was developed. This same methodology and presentation is used for the pooled data base for both organizations. A comparison of the effects diagrams developed from the Firm A and Firm B data will close this section. Dynamic and Cross—Lagged Panel Correlations Dynamic correlations are Pearson Product Moment correlations between the change scores for the variables in the model. The responses for the variables have been scored at two points in time (actually eighteen months apart). Then differences in these scale scores (Time 2 score - Time 1 score) were determined. By using dynamic correlations, the statistical association between these changes on pairs of variables within the model can be analyzed. The correlations between change scores (dynamic correlations between raw change scores) may contain variance that is due to managers in the Firm B sample having different initial scores. To eliminate the variance in these difference scores that is 140 NN. ON. ON. ON. ON. ON. OO.- OO. NN. ON. NN. NN. OOooosw Oo>Hooeoa OO. NO. HO. OO. OO. NO. OH. HN. OO. OO. OO. HO. OoO :qu :oHuommOHumm ao. co. mo.- mH. NN. wN. No. mo.4 mH. HN. wo. No. mHmow Ho>o ooze stmcH opwcHwHoasm HO. OO. NH. HH. NO. OO. ON. OH. NO. HO. OO. NN. :oHeOOooOOO phm3omuoocmEHOMNom OO.H OO.H OO.H OO.H om. O0. HN. mm. mv. MO. OO. mO. Om: whmzoe :oHuOHCOHHo OO.H OO.H OO.H OO.H ON. NN. NN. OO. eoqa>OHOO One OOHHOHO HOOO OO.H OO.H OO.H OO.H OHOOOOHHOHoO oumchHonsmlgoHNmmsm r—t COHumHhomoo OHOOHHO> NO HO NO H< NO HO NO H< NO HO N< H< atqetxaA Hva coHumapchHEp< vacuum wen HHmV :OHHOHHOHCHEO< HONHO a EHOL a:m amid :DOJnHOnO:OES< 3:39D0 3:6 OHCH :34;3+.u+:4:i.. HH. u Ho>OH HO. HOO. u Hm>OH OO. -- O SOHO OO. u Ho>OH HO. MON. n HO>OH OO. -- < SOHO VH mo mmsfig ufiwowwflcmfim OO.H OO.H OO.H HO. OO. OO. OH.- OH.» OO.- NO.- OH.O ON. OH. OO. OO. OOOoosm OO>HO0~OO .N OO.H OO.H OO.H OO.H OO.H Ho... oH. wof mo. om. mm. Nm. OO. now 52.. :oOpowwOUmw \O OO.H OO.H ooé OO.H NN. MS. 3... oo. mHmow 996 ooco 555 ouwcfiiogm LI“) 140 (a) OO.H OO.H OO.H OO.H coUOdfloomm/O. Easemlmoqmahomwom <1“ om: HOBO 309. co Um ucmfiho m' moqm>®me OOO NOHNOHO Hmou .N OHOOOOHOOHOm oumcflwaogmuhofl 25m . H cosmic woo 0 NHHM NO HO NO H< NO HO NO H< NO HO N< HO NO HO N< H< HO . > atqepleA 141 predictable from the time 1 scores (initial scores), these dynamic corre- lations can be "corrected" (Vroom, p. 64). To do this, a measure of the difference between the observed change of a variable and the difference that would be expected of a variable with the same initial score on the variable is calculated. This method requires the computation of the second-order partial correlation between difference scores with initial scores on both variables held constant (rAxAy .xy)' Table C—8 shows the matrix of raw and "corrected" correlation coefficients between change scores for Firm A. Table C—9, page 143, is a presentation of similar data for Firm B. Table C—lO is a matrix of the differences between dynamic (corrected) correlations for the samples. Assuming that the dynamic (corrected) correlations (rA X),) are equivalent to 2 values (by r to XAY . z transformation) a test of the differences between these coefficients can ascertain whether the organization affects the relationship between the variables. For both organizations at the .05 and .01 level, there is not a statistically significant difference between dynamic correla— tions for any of the relevant variables. The logic of the cross—lagged panel correlation analysis is that there is a time lag that occurs when one variable causes another. Pelz and Andrews call this "causal priority" rather than causality (Pelz and Andrews, p. 836). If one variable is to have a causal relationship with another, the essential ingredient in that relationship is that it is asymmetrical. That is, if variable x causes y, then the present state of X should be more strongly associated with y's future state than with y's present state (rxly2 > rlez). Table C-11 and Table C-12 display the inter-scale correlation coefficients between the first and second administrations of the questionnaire to Firms A and B. 142 .mo .9 .HNmH Anommeao :oHoOmmooo eeuomnuoo age No boonHom .umsHm wopnomoa ON mmnoom omewgu .p . . Househomwm om. u Hm>mH Ho. MN. n Hm>wH mo. "a wo modam> quuwmwcmflm ZNH fi®®3H®£ COHfldHQHHOU ®£Pm coNumNuomm< oocm>ofiom mflgchNuwHom o.H o.H No. OH.- co. No.- OO.- oH.- ON. HN. OO.- co. No. OH.- mmbdem Oe>fimunem o.H o.H oo.: 00.: ON. Om. ON. MN. ma. HH. om. vm. now flaw: cofipumeHumw o.H o.H OO.- Ho.- OO.- No. HH. mo. mH. OH. mHmou Nm>o mace usHmcH m.oumcHwHonzw o.H o.H HH. mo. ma. NH. om. mN. vgmzomlmocwgfiomawd o.H o.H ma. mo. Hm. ON. Omz mhmzoe coaumucowho o.H o.H mN. om. Ea NOHSHO Haoo o.H o.H opmcflwhoaszHOHaomsm _ O o m O m N H oHanHw> < EHdm HO% WOHOOW OMfiNSU EOOZHQM WHC®HOH%M®OU COMHNHOHHOU UOHUQHHOU Ufid 3wm MO XHHHMZ I umpcmfloflwmooo :ofiumHonhou macaw mmcmcu wouoongou mcw 3mm |.mnu ofinmh 143 .u=0HUHmmmoo popumhaoo ecu ND uoonHom .umHHm Umupomou OH mmaoom owcwnu ON. u Ho>mH Ho. wH. n fiw>0H mo. ”H Mo W®5Hm> HGNUfiWMCMflW BNH E®m3H®£ COHHNHQHHOU 03PM mmp:0Honmoou COHpmHmhpou whoom owqmgu fimuUOHHOU Ufiw 3mm O.H o.H No.1 mH.- oH. HH. 0N. OH. OH. No.u oH. mo.4 mN. Ho.: mmmuusm uo>HeoHoa .N O.H O.H Oo. OO. OO. ON. NH. NH. OH. OH. OO. OO. now aqu :oHuommOHqu .O o.H o.H HH. OH. OO.- Ho.- NH. NN. oH. ON. mHmou He>o mono :sHmcH O.mumcHeHon:m .m O.H O.H ON. ON. ON. HH. OO. NO. :oHuaHUOOOO vhdzomnoocmahowhod .O O.H O.H ON. OH. ON. NH. oOz Oaazoe :oHuOOOOHHo .O O.H o.H NO. wO. mosm>mem Oew NOHOOHO HOOO .N O.H O.H demcoHumHoO muwcHwHondwunoNhomsm .H N O O O O N H OHOOHNO> m EHHm How moHoom omcmzu :omzpom mu:OHonwoou cowumHoauoo vmuoonaou van 3mm mo xwhumz 1:. ago eHnwh 144 Table c-10.-— Matrix of Differences Between Dynamic (Corrected) Correlations of Variables of Seven Scale Model For Firm A and Firm B Scales 1 2 .22 3 .06 .08 Scales 4 .15 .08 .13 Note: 1) The correlation values are assumed to be equal to 2 values. 2) The standard error of correlational differences = .215. 3) Significant difference at .05 level = .42 and at .01 level = .50. 145 Table C—ll.—- Inter-Scale Correlation Coefficients Between First and Second Administrations of the Questionnaire for Firm A Second Administration First Administration 1 2 3 4 5 6 7 l. Superior—Subordinate Relationship .463 .01 .26 .26 .14 .35 .32 2. Goal Clarity and Relevance .23 .23 .36 .13 .04 .17 -.06 3. Orientation Toward MBO .39 .09 .51 .19 .10 .29 .08 4. Performance-Reward Association .20 .00 .03 .42 .23 .23 .12 5. Subordinate's Influence —.10 —.ll .05 .02 .17 .08 -.O7 6. Satisfaction With Job .05 —.05 .02 .33 .07 .48 -.01 7. Perceived Success .31 .07 .20 .08 .19 .19 .37 3The diagonal entries are correlations between a variable measured at time 1 and time 2. Off-diagonal entries are correlations between a variable measured at time 1 and a second variable measured at time 2. Significant value of r: .05 level = .23 .01 level = .30 Reference: Chesser, 1971, p. 67. 146 Table C-12.—- Inter-Scale Correlation Coefficients Between First and Second Administrations of the Questionnaire for Firm B Second Administration First Administration 1 2 3 4 5 6 7 1. Superior-Subordinate Relationship .45:11 .22 .38 .30 — 13 .06 .25 2. Goal Clarity and Relevance .31 .46 .24 .17 -.20 -.06 .13 3. Orientation Toward MBO .36 .39 .66 .32 —.04 .12 .24 4. Performance—Reward Association .38 .31 .36 .60 .08 .22 .07 S. Subordinate's Influence .04 .07 .05 .01 .35 —.02 -.04 6. Satisfaction With Job .32 .16 .27 .37 .05 .52 .18 7. Perceived Success .20 .26 .12 .10 -.16 .06 .51 8The diagonal entries are correlations between a variable nwaumdattflw].wdtmw2. Off-diagonal entries are correlations between a variable measured at time 1 and a second variable measured at time 2. Significant value of r: .05 level .01 level .18 .24 147 Table C—lS and Table C—l4 are set up to display the difference between pairs of cross-lagged panel correlations for all pairs of variables in the seven scale model. These differences indicate the degree of the asymmetrical relationship for any variable x at Time 1 with any other Time 1 variable y. A negative difference is interpreted as the variable y being a better predictor of the future state of variable x rather than the hypothesized temporal sequence. For the managers of Firm A, there are three asymmetrical rela— tionships between variables of the seven scale model that are significant at the .10 level. For the managers of Firm B, there are two significant asymmetrical relationships between system variables. A relationship which is significant as indicated by the dynamic correlations and asym— metrical as indicated by the cross—lagged panel correlations is found between changes in Superior—Subordinate Relationship (variable 1) and changes in Job Satisfaction (variable 6). It is interesting that for the Firm A managers, changes in their relationship with their superior have a causal relationship with changes in their satisfaction with the job. Since this relationship is positive, after the Finm A manager perceives an increase in the relationship with his boss, his satisfaction with his job also increases. Although the relationship is still positive, the opposite causal relationship is found for the managers of Firm B. For the Firm B managers, an increase in job satisfaction causes an increase in the relationship between the manager and his superior. Having compared the means and variances for the scales across the two organizations and finding them very similar, a decision was made to pool the samples and average their respective correlation matrices (see Table C—15 and Table C—16). The rationale for this pooling was that the 148 Table C-13.—- Matrix of Differences Between Cross-Lagged Panel Correlations for Firm A Second Administration First Administration 1 2 3 4 5 6 7 Superior-Subordinate Relationship -.22 -.13 .06 —.O4 .30 .01 Goal Clarity and Relevance .27 .13 .07 .22 -.13 Orientation Toward MBO .16 -.15 .27 —.12 Performance—Reward Association -.25 —.10 .04 Subordinate's Influence .15 .12 Satisfaction With Job —.20 Perceived Success 149 Table C—l4.-- Matrix of Differences Between Cross—Lagged Panel Correlations for Finn B Second Administration First Administration 1 2 3 4 5 6 7 l. Superior—Subordinate Relationship -.09 .02 —.O8 .17 .26 .OS 2. Goal Clarity and Relevance —.15 -.14 -.27 .22 -.13 3. Orientation Toward MBO —.04 .Ol .15 .12 4. Performance-Reward Association .07 .15 -.03 5. Subordinate's Influence .07 .12 6. Satisfaction With Job .12 7. Perceived Success 150 Table C-lS.-— Matrix of Dynamic (Corrected) Correlations Coefficients for Pooled Firm A and Firm B Sample (Total n = 190) Second Administration First Administration 1 2 3 4 5 6 7 l. Superior—Subordinate Relationship 2. Goal Clarity and Relevance .36 3. Orientation Toward MBO .28 .19 4. Performance-Reward Association .38 .19 .18 5. Subordinate's Influence .15 .14 -.O7 .03 6. Satisfaction With Job .35 .16 .20 .30 -.Ol 7. Perceived Success .16 .02 .18 .08 .08 .00 Significant values of r: .05 level = .14 .01 level = .18 151 Table C—l6.—- Matrix of Inter-Scale Correlation Coefficients Between First and Second Administrations of the Questionnaire for the Pooled Sample Second Administration First Administration 1 2 3 4 S 6 7 l. Superior-Subordinate Relationship .45 .12 .32 .28 —.14 .21 .28 2. Goal Clarity and Relevance .27 .35 .30 .15 -.12 .06 .03 3. Orientation Toward MBO .38 .24 .59 .26 -.07 .21 .16 4. Performance-Reward Association .29 .16 .19 .51 -.O7 .23 .10 5. Subordinate's Influence -.03 —.02 .00 .02 .25 .03 -.05 6. Satisfaction With Job .18 .05 .15 .35 -.Ol .50 .09 7. Perceived Success .25 .16 .16 .09 -.17 .13 .44 Significant values of r: .05 level = .14 .01 level = .18 152 research model replicated within each firm and that the pooled sample would improve the generalizability of the model. As the sample size increased, the number of significant dynamic (corrected) correlations also increased. Table C-ls indicates the fourteen pairs of variables in the seven scale model that are significant. When the differences between cross-lagged panel correlations for the pooled sample are calculated, it is found that none of these differences is significant at the .10 level (see Table C—l7). Several conclusions are reached as the result of the analyses presented in this section. First, the variables in the seven scale model are similar across the samples. Second, the dynamic correlations indi- cate that there are statistically significant associations between changes in the variables in the model. Third, the inference of causal priority at the .10 level is not possible at this point due to the absence of significant differences between the cross-lagged panel corre— lations. In order to develop the effects diagrams of the behavioral system, a significance level for the asymmetrical relationships of .20 will be used. Effects Diagrams In the last few sections, the concept of changes of one variable "having an effect on" changes in another variable has been used quite often. To make this idea more precise, an effects diagram can be derived 'n. for the three samples of data: Firm A, Firm B, and the Pooled Sample (A + B). The process is as follows: It is assumed that the data are reliable and subject to minimum sampling or random error. The variables of the system are those of the seven scale model. For each significant _i—71' _a._ 4-—---—-'w-—.~.---‘-n 153 Table C-l7.-— Matrix of Differences Between Cross-Lagged Panel Correlations for the Pooled Sample -‘ ___' Second Administration First Administration 1 2 ' 3 4 s 6 7 l. Superior-SUbordinate Relationship ~.1S -.06 -.Ol —.11 .03 .03 2. Goal Clarity and Relevance .06 -.Ol -.10 .01 -.13 3. Orientation Toward MBO .07 -.O7 .06 .00 4. Performance-Reward Association -.09 -.12 .01 S. SUbordinate's Influence .04 .12 6. Satisfaction With Job -.04 7. Perceived Success 154 dynamic (corrected) correlation in the system, a solid line is used to connect the variables. When the cross—lagged panel correlations indi- cate a causal relationship (at the .20 level or better), a unidirectional arrow shows the direction of that relationship. For those cross-lagged panel correlations which do not demonstrate an asymmetrical relationship, a mutually reinforcing relationship is shown using arrowheads at both ends of the solid line. Figure C-l is the effects diagram showing the change relationships in the MBO Behavioral System for Firm A and Figure C—2 is the effects diagram for the managers of Firm B. Changes in Goal Clarity and Rele— vance do not have the driver effect on the managers of Firm B as they did for those of FirmA. Satisfaction with Job is the driver for the managers of Firm B. The effects diagram for the pooled sample (Figure C-3) demon- strates the expected result of canceling all causal relationships and having mutually reinforcing relationships between all the variables. There are several possible explanations for the different temporal sequences of causal relationships shown in the models. First, the causal relationships shown in the effects diagrams of Firm A and Firm B may be due to spurious correlations and not due to real changes. The data as analyzed (i.e., constant means and standard deviations) and the scale unreliability support this notion. Second, there may be actual changes and causal relationships among the variables of the system but the time Span of eighteen months may be too short or too long to assess these causal relationships. Third, the variables of the system are con- sistent across and within samples. However, the reliability of the Change scores is too low to adequately discriminate between asymmetrical relationships. 155 Figure C—1.-- Effects Diagram for Change Relationships in the MBO Behavioral System — Firm A (Reference: Chesser, 1971, page 106) OOO spa: soaponNnaOOO . 0mm “sheaves GOmePQoNHo .QH mmmqmso O OOHpmHoomm< UHMSQMIoonOEHOMNem ea momnmgo EH monsmno r I“ _.__._____+“1 mHensOHpaHom mpmnflwhonfimIOOHaoQSm QH mmmmmno moqm>oflom One OOHHOHO HnoO SH momsmso __._____._______—.—.——.—._.._—~__ nHeow mmflcflnppd 4H mmmoodm pm>flmonom GO mowede 156 Figure C-2.-- Effects Diagram for Change Relationships in the MBO Behavioral System - Firm B TI now anz :OHuommeuwm :H mowemnu O .:0HpmH00mm< .oOz Bases :OOHMHCoHHO :H mowemnu H cameoMIoocmEHOMHom :H momnmgo + V H / mHnchHumHom oumcwaonsmuHOHHomsm ea mmmcmcu mHmoo wchHmpp< :H mmooodm wo>Hoo when :H mommmcu * . . / oocw>oHem V O NOHsaHu Hmou :H mowemnu 157 ples from ge Relationships in the MBO Behavioral System for Pooled Sam Figure C—3.—- Effects Diagram of Chan Firm A and Firm B new :qu :oHpomeHpmm :H momcmzu 7!!! OOO Osason COHumpcoHHo :H mowzwcu COHumHoomm< enmzomnoocmEHOMHod . :H momcmnu oocoszcH m_ouw:anop:m :H mowcmzu mHzm:0HumHom oumcHwHOQSmIHOHHomsm :H momcmgu wHwoo wchHmuu< :H wmooodw vo>Hoo laud :H mowqmzu oocm>oHem O NOHNOHO Hmou :H womqmgu APPENDIX D MBO QUESTIONNAIRE ITEMS, SCALE INTERCORRELATIONS, AND LOADING MATRICES FOR THE REVISED FIFTEEN AND SEVEN SCALE RESEARCH MODELS Note: 1. MBO Questionnaire, Appendix A, contains . all items referenced herein. L 2. Multiple group cluster analysis of 548 responses by Firm B managers to the second administration of MBO Questionnaire is reported herein. APPENDIX D MBO QUESTIONNAIRE ITEMS, SCALE INTERCORRELATIONS, AND LOADING MATRICES FOR THE REVISED FIFTEEN AND SEVEN SCALE RESEARCH MODELS This appendix describes the scales produced by the multiple group cluster analysis of the Firm B data. A fifteen scale model was initially produced. In order to improve the internal scale reliabilities, the scales were condensed and a seven scale model was developed. The development of the fifteen scale model is presented first. The Revised Fifteen Scale Research Model For each of the scales in the fifteen scale model, a table is presented which displays the stems of the items from the MBO study ques- tionnaire for that scale in addition to the correlations between and within the clusters. These correlations have been computed by the PACKAGE routine for oblique multiple groups factor analysis with commu- ‘ nalities (Hunter and Cohen, 1971). By using communalities, the correla- tion between an item and a scale in which it is not included is corrected for attenuation. At the same time, the effect of unreliability within the scale has been removed. The effect of unreliability for a particular item has not been removed. The communalities which appear as diagonal entries in the item correlation matrices represent the specific relia- bilities of the item in the scale to which they belong. 158 159 Objective Feedback Table D—l presents the three items which make up the objective feedback scale, their intercorrelations and their correlations with the other scales, corrected for attenuation. The diagonals indicate a strong-weak gradient within the cluster. The first two items are con— cerned with the manager's recall of the occasions on which he was given information about his performance. There is the potential for some confusion by the respondent if he includes personal development objec- tives under the general heading of objectives as in item five. The common denominator of these three items is the manager's feelings about how his superior is evaluating his qualifications and development needs. Interest in MBO Table D-2 diSplays the three items which make up the interest in MBO scale. Also included are their inter—item and inter-scale correla- tions. The intercorrelations of the items form a rank one matrix and have a strong-weak gradient from item 22 to item 21. These items are also quite consistent in their correlations with other scales. The content of these items is quite similar and seeks reSponses which concern the genuine interest and involvement of the superiors and the organiza- tion with MBO. Goal Relevance The eight items which make up the goal relevance scale are shown in Table D-3. The first three items measure the manager's perception of the congruence of his objectives with the needs of the organization. These items seek to ascertain goal clarity as well as goal relevance. The last five items concern the degree of understanding between the Has—vane“ on accoulrou mo 359—3! _ MM mm “M mHm 333232 Euros-3558:...— . an mv An OH». «382m :8 N 3 3 OH... 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Mon nooz Ewan: conga—OH 951.8..— .Hqu 5350 Owen oocm>oHom Hmoo 0O: 5 30.32: enema... 2.58.26 xfluwz wives v5 .- H3332— .So» 95:33 :0 «Ha nmon .5: Be 33.3% 5:5 .5: HH .30» .5 any—moan 59H .8 xouavoom 5:» so» one: game 30: m HN.—onwan .50» :0 30.30.; .30» H5 xuaavoow :9...» so» Duo... curve :0: a :oUmmuumon enacted 2.33.30 :3. 33m --.H-n «Hank . oHnuw 39.33.30 azuamngov 30330.30 36330.30 unwamoHocHov 161 manager and his superior regarding the evaluation of performance and the priority of effort to be expended. The common elements in the entire set of items for this scale are goal relevance and goal clarity. Boss Concern with Failure Table D-4 shows the two items that form the boss concern with failure scale. The items are very consistent in their inter-item and inter—scale correlations. The items show homogeneous content and rela- tively strong reliability. Influence Upward The common element among the four items which make up this scale is the influence of the manager upon his superior. Table D-5 shows that the items are quite similar in content and have a consistent pattern of correlations with other scales. Need for Policy Scale 506, Need for Policy, is shown in Table D—6. The two items which form this scale are very compatible in content, internal consis- tency, and external correlational pattern with other scales. This scale measures the manager's need for structure or guidance as he participates in the organization. Satisfaction with Boss The four items which make up the satisfaction with boss scale are shown in Table D—7. This scale is a measure of the manager's satisfac- tion with his boss as a boss. 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Scale Intercorrelations and Loading Matrix 2; 79 79 75 53 31 79 89 74 58 3o 75 79 65 44 25 53 5a 44 37 501 49 49 3? 58 Objective Feedback 502 58 5»? 48 60 Interest in MBO 503 46 40 34 5.43 Goal Relevance 504 44 32 32 42 Boss Concern With Failure 505 61 69 56 65 Influence Upward 506 29 24 24 20 Need For Policy 507 89 92 80 60 Satisfaction With Boss 508 71 81, 66 76 Boss Supportiveness 509 27 21. 21 2M Orientation Toward MBO 510 4 '9 ’3 8 Influence 0n Goals 511 18 19 14 16 Goal Difficulty 512 45 50 41 49 ’ Job Satisfaction 513 20 1b 16 1], Goal Success 514 36 36 32 40 1 Performance—Reward Association 515 P5 26 28 33 Importance Of Competence “ 516 14 9 14 15 Residual 165 one weaker one. Item 26 is an indicator of how the manager may interpret the actions of his boss based on his feedback and interaction with the boss. Boss Supportiveness Table D—8 presents the four items which form the boss supportive- ness cluster, their intercorrelations, and their correlations with the other clusters. The pattern of intercorrelations is weakly rank one; however it shows a consistent pattern of parallelism with other scales. The content of these items measures the manager's perception of how Supportive his boss is in the working environment. Orientation Toward MBO The three items of the orientation toward MBO scale (Table D-9) concern the usefulness of MBO as a tool fOr helping the manager do his job. The intercorrelations show a rank one matrix and a strong—weak gradient. The pattern of the inter—scale correlations demonstrates that these items hold together quite well. Influence on Goals Table D-lO presents the two items which compose the influence on goals scale, their intercorrelations and correlations with other scales. The items concern the objective setting process and seek to ascertain if it is an authoritative or a participative process. Goal Difficulty The four items which constitute the goal difficulty scale measure the challenge of the goals being sought by the manager. 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Although the scale as shown in Table D—ll is a weak rank one matrix, the items show consistent internal and external patterns of relationships. Job Satisfaction Table D-12 presents the two items which make up the job satisfac- tion scale. The items are strongly related and consistent in their behavior with other scales. A reSponse to this scale is an indication of the satisfaction of the manager with his monetary reward for effort expended and skill level possessed. Goal Success The three items of the goal success scale seek responses as to how probable was success in attaining goals as well as how was success perceived by the re5pondent. The item intercorrelations shown in Table D—13 form a rank one matrix and a strong—weak gradient along the diagonals. Additionally, the items have a similar pattern of correla— tions with other scales. 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Scale Intercorrelations and Loading Matrix 34 5" 61 .35 6; 64 501 3.5 39 Objective Feedback 502 44 36 Interest in MBO 503 43 48 Goal Relevance 504 31 27 Boss Concern With Failure 505 38 31 Influence Upward 506 18 16 Need For Policy 507 41 29 Satisfaction With Boss 508 46 38 Boss Supportiveness 509 32 40 Orientation Toward MBO 510 11 12 Influence 0n Goals 511 18 15 Goal Difficulty 512 49 29 Job Satisfaction 513 18 21 Goal Success 514 79 79 . Performance-Reward Association 515 44 4° ” Importance Of Competence 516 23 47, Residual 171 Importance of Competence The three items which compose the importance of competence scale (Table D—lS) measure the manager‘s need to achieve a certain level of expertise or reward for successful job performance. The items form a flat rank one matrix and have a consistent pattern of correlational relationships with the other scales. Residual This scale (D—16) is composed of those items which did not meet the criteria for inclusion in any of the above described scales. The Revised Seven Scale Research Model In an attempt to improve the internal scale reliabilities for the research model, the fifteen scales were condensed into a seven scale model. The cluster analyses of the scales for that model are presented in the following sub—sections. Importance of Goals Table D—l7 presents the ten items which make up the Importance of Goals scale. This macro scale has two scales which were defined in the fifteen scale model as Goal Relevance (Scale 503) and Boss Concern with Failure (Scale 504). The items of this scale demonstrate a consis- tent pattern of correlational relationships with the other scales of the system. Goal Setting Behavior This scale consists of two subscales--Influence on Goals and Goal Difficulty--which together total six items. 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For the goal difficulty subscale, the manager's response indicates whether goal setting is accomplished only as a technique for expanding or developing the manager's potential for effectiveness. Superior—Subordinate Relationship The twelve items which comprise the superior—subordinate relation- ship scale are shown in Table D-19. This scale has three subscales-- Boss Supportiveness - items 25, 23, 13, 43; Influence Upward - items 8, 28, 27, SO; and Satisfaction with Boss - items 29, 30, 31, 26. All three subscales assess the manager's feelings about his interaction and influence with his boss. Utility of MBO Table D-ZO contains the eleven items which form the utility of MBO scale. It is actually composed of four subscales. The first sub- scale (items 46, 47) is described as need for policy which could also be called need for structure. The second subscale (items 39, 40, 31) is concerned with a specific technique (MBO) which may satisfy the need for structure or policy. 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Importance of Competence Table D—21 presents the three items ' Wthh make . u th . . . _ p 15 Scale, their inter—correlations, and their correlations with the th 0 er Scales These items demonstrate a flat rank one correl ‘ . ation matrix and are parallel across the other scales. All three have the idea of Co"‘Petence or mastery of the job in common. Job Satisfaction The two items which make up this scale are shown in Table 0-22 along with their intercorrelations and their correlations with other scales. Both items evaluate the manager's satisfaction with his pay compared to his input (skills and effort) and his next best alternative job. The items are very similar in content and correlation with other scales. They form a flat rank one matrix of intercorrelations Performance—Reward Association Table D-23 presents the five items which comprise this scale, It is evident that there are two subscales in this macro scale. The first three items (14, 49, 15) concern the manager's feeling of goal accomplishment. The other two items (34, 35) assess the subject's per— ception of the relationship between actual performance on the job and future increases in pay and promotion opportunity. 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APPENDIX E OTHER FINDINGS IN THE FIRM B MBO STUDY Note: The data from two administrations of the MBO questionnaire to the managers of Firm B were used in this analysis. APPENDIX E OTHER FINDINGS IN THE FIRM B MBO STUDY This appendix presents the development of a revised research model for the managerial attitude system using the re5ponses to two administrations of the fifty-five item MBO study questionnaire by the one hundred seventeen (117) managers of Firm B. To do this the first section describes a fifteen variable model deve10ped from a multiple group cluster analysis of the data. This section also contains a description of the scale content, the inter-scale correlations, and the change score reliabilities. The second section is a presentation of a condensed model of these fifteen scales and representative statistics about each of the new scales. The third section contains an effects diagram for the condensed model for Firm B managers. Fifteen Scale Model The strategy employed for the analysis of the Firm B data was to revise the original fourteen scale model developed by Chesser using the additional data available (items 48—55) for Firm B. The first step was to perform a fourteen scale multiple group analysis and carefully examine the factor loadings of those items in the residual. The residual in this case included all items not in the Chesser fourteen scale model plus the new items available. After examination of the resultant clusters, a new scale of three items which measured the importance of competence to the manager was discovered. The scale consisted of the following items: 179 180 51. How important is it that you do a better job than other people who have had your job? 52. To what extent will effort increases by you lead to increases in job performance? 53. Do you experience a feeling of personal accomplishment, satisfaction in fu11 completion of goals? It also was evident that some of the items in the residual belonged in established clusters. Several different combinations of items within and between clusters were tried before a decision was made that further manipulations would only blur important content considerations. During these various studies the same three criteria were applied to the analysis of the scales. They were: 1. Items within a scale should be internally consistent (that is, they should correlate with one another). 2. Items within a scale should be "externally" consistent (that is, they should have a similar pattern of correlations with other scales). 3. The scales should have reasonably similar content. Table E-l presents a description of the scales for the fifteen scale model for the managers of Firm B. Table E-2 disPIays the means and standard deviations for each scale in the model. In the deve10pment of the original model, a minimum threshold for internal reliability was set at .50 (r11 = .50). Using this same cri- teria, the internal scale reliabilities shown in Table B-3 are all .50 or greater with the exception of scale eleven--Goal Difficulty-—for the first administration of the questionnaire. The prdblem of low change score reliabilities for several of the scales is present in the revised scales as it was in the Chesser researCh. Scales 4, 6, ll, 12, 13, and 15 all have Change score relia- bilities less than .25. The strategy for improving these low change 181 Table 5-1 .—— Fifteen Scale Research Model g: Scales L Questionnaire Item Numbers 10. 11. 12. 13. 14. 15. 16. Objective Feedback Interest in MBO Goal Relevance Boss Concern with Failure Influence Upward Need for Policy Satisfaction with Boss Boss Supportiveness Orientation Toward MBO Influence on Goals Goal Difficulty JOb Satisfaction Goal Success Performance-Reward Association Importance of Competence Residual 9,5,11 36,22,21 7,6,3,4,24,16,33,48 44,45 8,28,27,50 46,47 29,31,30,26 25,23,13,43 40,41,39 37,13 2,1,10,17 32,33 14,49,15 34,35 51,52,53 12,19,20,42,61 182 Table E—2.-- Means and Standard Deviations for Fifteen Scale Model M3223 Standard Deviations Scale Description Time 1 Time 2 Time 1 Time 2 501 Objective Feedback 2.89 3.01 0.79 0.77 502 Interest in MBO 3.82 3.77 .84 .72 503 Goal Relevance 3.00 3.04 .48 .43 504 Boss Concern With Failure 3.39 3.33 .79 .76 505 Influence Upward 3.33 3.40 .71 .77 506 Need for Policy 4.29 4.16 .68 .76 507 Satisfaction With Boss 3.50 3.56 .59 .53 508 Boss Supportiveness 2.92 1.98 .52 .54 509 Orientation Toward MBO 3.73 3.51 .89 .92 510 Influence on Goals 2.25 2.36 .69 .67 511 Goal Difficulty 2.98 2.99 .43 .49 512 Job Satisfaction - 3.30 3.34 .89 .88 513 Goal Success 3.08 2.98 .74 .79 514 Performance-Reward Association 3.64 3.47 .84 .82 515 Importance of Competence 4.36 4.30 0.54 0.55 183 Table E-3.-- Internal Scale Reliabilities and Change Score Reliabilities for Fifteen Scale Model Time 1- Change Scale Internal Reliability Time 2 Score Correlation Reliability Time 1 (r11) Time 2 (r22) r12 rdd 1 .83 .84 .53 .61 2 .72 .80 .47 .55 3 .70 .72 .39 .52 4 .56 .68 .50 .24 5 .75 .74 .33 .63 6 .59 .59 .55 .09 7 .88 .88 .34 .82 8 .67 .57 .25 .50 9 .85 .87 .66 .61 10 .69 .68 .35 .52 11 .37 .54 .41 .10 12 .56 .59 .52 .13 13 .58 .57 .52 .13 14 .77 .76 .56 .48 15 .49 .59 ~56 '00 184 score reliabilities was to condense these scales into seven macro scales. Seven Scale Model __________________ From the analysis of the reliability of the change scores for the fifteen scale model, it was decided that further scale condensation was necessary in order to improve the internal reliability of the scales. Wherever it was feasible, recognizing content and correlational patterns, the scales of the fifteen scale model were collapsed into macro measures. The resulting improved seven scale research model is shown in Table E-4. See Appendix D for the cluster analysis of these scales. Development of Effects Diagram In this section, the data from the Firm B managers will be used to construct an effects diagram of the behavioral system. The method- ology for this development will be the same as that used in Appendix C. Table E-S is a matrix of raw and corrected correlation coeffi- cients between change scores for the improved model. There are sixteen pairs of variables in the model which possess a significant relationship (p < .05). These will be indicated in the effects diagram by a solid line connecting the related pair of variables. Table E-6 is a matrix of differences between cross-lagged panel correlations for the total sample of Firm B managers. These differences are calculated using the formula: Ar = rxp’z ' Jt‘>'1X2 = the correlation between a variable x at Time 1 where: rx ' 1Y2 with a variable y at Time 2 r = the correlation between a variable y at Time I ylxz with a variable y at Time 2 Differences found to be significant are indicative of an asymmetrical or . . . . < Causal relationship. There are seven significant relationships (p .20) Table E-4.—— Revised Seven Scale Research Model Questionnaire Scale Description Item Numbers 1. Importance of Goals 7,6,3,4,24,16 48,38,44,45 2. Goal Setting Behavior 37,18,2,1,10,17 3. Superior—Subordinate 25,23,13,43,28,27 Relationship 50,29,30,3l,26 4. Utility of MBO 36,22,21,46,47 40,41,39,9,5,11 5. Importance of Competence 51,52,53 6. Job Satisfaction 32,33 7. Performance-Reward 14,49,15,34,35 Association 186 cm. ma. M Hw>®H HO. H®>®H mo. up we monam> unwoflmficme _ _ - _ _ m m m m m m O.Hm 0.“ mm. “ma. mm. “mm. He. "am. am. _em. Ho. "wo.- oe. "ma. schemaoomw< _ n . n m m u m m phmzomnoocmshomnom .n . . _ . . _ . _ . . _ . . _ m .o.H “ O.H 0H. mma. em. mam. Hm. mom oo moo ma mmH. coauumMmflumm now .0 _ . . _ . . . _ . m “ O.H “ O.H mm. "mm. NN. mmm. NH. "ma. AN. "NN. ouemumdsou " u m m u m m mo oocmpnodsH .m _ _ _ . _ . _ . m u " O.H " O.H mm. mow. mm. "om. am. "em. on: mo spafifiue .4 . . . . . _ _ _ . . . _ m u u " O.H “ O.H co. "ma. HN. "AN. daemeoapaamm " u n m m m m oumcfiunondmuHOfiuomsm .m . _ _ . . . . . _ m u u n m O.H “ O.H om. “He. aofi>msom wcwuuom Hmou .N . . . . . . _ _ . _ _ _ m u n u u " O.H " O.H mfimou mo oocmuaomEH .H p .r n n r H h A e m e m N H manmbam> mucowoflmmoou coapmaouhou macaw omcmco wouooyaou paw 3mm Hope: pomw>om How monoom omnmcu :oozuom mucofioflmmoou :oflpmaohaou pouoonuou paw 3am mo xfiyumz nu.mum canoe 187 between the variables in the model. By combining the analysis of these tables with that of the previous table which contained the significant dynamic (corrected) correlations, the effects diagram for the total sample of Firm B managers has been constructed (Figure E-l). There are five of the seven asymmetrical cross—lagged panel correlations which are identified for significant dynamic correlations. Changes in satisfaction with the jOb is the variable which assumes the role of the "driver" variable in this diagram. This variable is a member of three of the five causal relationships that were found and in each case is the causal factor in changes of the other variables. One implication is that JOb Satisfaction is affected by forces outside the system under study. Personal pressures, economic pressures, and pres- sures from other relevant persons could all form a part or a total explanation for the important influence of this variable. Another possi- bility is the "halo" effect or the importance (as perceived by the manager) of participating in a research program of this nature. There are four variables which are mutually reinfbrcing and form the "center" of the attitudinal system. These variables--Changes in Superior-Subordinate Relationship, Performance-Reward Association, Utility of MBO, and Importance of Competence-—a11 share a positive rela- tionship which indicates that as any one of them increases, the others will follow. The Importance of Goals scale is one of the factors which directly influences this center core of the model. As the Importance of Goals increases, the Superior-Subordinate relationship increases and its positive relationship with the other core variable is influenced. The Importance of Goals variable is itself influenced by another variable, Changes in Goal Setting Behavior. For example, if Goal 188 in MBO BehaviOral System -l.—-Revised Model of Change Relationships Figure E new spa: :ofluomMmfipmm ca mowcocu om: CC Ted wkw5om wcflupow Hmoo cw mowcwnu 189 Setting Behavior (the goal setting process as perceived by the sUbor- dinate) became more autocratic than consultative, this change would be positively related to changes in the importance (relevance, clarity, priority) of goals. The effects diagram for the total sample suggests that as there are changes in job satisfaction these changes bring about changes in the core of the system. These changes in the core variables influence and bring about changes in the goal setting process and the importance of goals. APPENDIX E MODERATED CHANGE RELATIONSHIPS IN THE MBO SYSTEM Note: 1. Firm B "High Cool" Managers (n = 58) 2. Firm B "Low Cool" Managers (n = 59) APPENDIX F MODERATED CHANGE RELATIONSHIPS IN THE MBO SYSTEM The Ghiselli Self Description Inventory was administered to the managers of both organizations concomitant with the first administration of the MBO Study Questionnaire. A computer search was conducted to determine if the Ghiselli dimensions moderated the change relationships found in the seven scale model. Chesser found four highly correlated dimensions which moderated these relationships. They were perceived occupational level, initiative, self assurance, and intelligence (Chesser, p. 80 ). Those managers who rated themselves high on these dimensions are called the "high cool" managers while those who rated themselves low on these dimensions are called "low cool” managers. For the replication of the original research model deve10pment using the Firm B data, these "moderators" were used to sort the total sample of one hundred seventeen managers into two subgroups. These two subgroups, the ”high cool" managers (n=58) and the ”low cool" managers (n=59) are intended to be homogeneous with respect to the four Ghiselli personality dimensions. Table F—l and Table F—Z present the inter—scale correlation coefficients or the cross—lagged panel correlations between the first and second administrations of the questionnaire for the Firm B ”high cool" and “low cool” managers, respectively. The two samples do have several distinct differences when the dynamic (corrected) correlations are cal- culated and analyzed (Table F—3 and Table F—4). There are ten of these 190 191 Table F-.1--- Inter-Scale Correlation Coefficients Between First and.Second Administrations of the Questionnaire - Firm B "High Cool" Managers (n=58) Second Administration First Administration 1 2 3 4 S 6 7 l. Superior-SUbordinate Relationship .47a .19 .42 .35 —.15 .10 .32 2. Goal Clarity and Relevance .42 .41 .35 .26 -.22 .09 .27 3. Orientation Toward MBO .60 .48 .66 .48 .05 .30 .35 4. Performance-Reward Association .36 .35 .38 .46 .11 .21 .10 5. subordinate's Influence .12 .16 .00 .13 .49 —.12 -.04 6. Satisfaction With Job .29 .34 .32 .37 .04 .56 .26 ‘ 7. Perceived Success .12 .23 .23 .08 -.24 -.02 .45 aThe diagonal entries are correlations between a variable. measured at time 1 and time 2. Off-diagonal entries are correlations between a variable measured at time 1 and a second variable measured at time 2. Significant value Of r; .26 .33 .05 level .01 level 192 Table F-Z .-- Inter-Scale Correlation Coefficients Between First and Second Administrations of the Questionnaire - Firm B "Low Cool" Managers (n=59) Second Administration' First Administration 1 2 3 4 S 6 7 l. Superior-SUbordinate Relationship .403 .27 .35 .23 -.14 -.02 .18 2. Goal Clarity and Relevance .29 .51 .15 .16 -.18 -.17 .03 3. Orientation Toward MBO .10 .27 .67 .19 -.13 -.06 .13 4. Performance-Reward Association .38 .31 .37 .69 .04 .20 .05 5. Subordinate's Influence -.O7 -.02 -.09 -.12 .21 .08 -.04 1 6. Satisfaction With Job .30 .00 .25 .34 .03 .44 .09 7. Perceived Success .31 .29 .01 .11 -.08 .14 .57 aThe diagonal entries are correlations between a variable measured at time 1 and time 2. Off—diagonal entries are correlations between a variable measured at time 1 and a second variable measured at time 2. Significant value of r: .26 .33 .05 level .01 level 193 Table p—3 .-- Matrix of Dynamic (Corrected) Correlation Coefficients for Firm B "High Cool" Managers Second Administration First Administration 1 2 3 4 5 6 7 1. Superior—Subordinate Relationship 1.00 2. Goal Clarity and Relevance .54 1.00 3. Orientation Toward MBO .29 .21 1.00 4. Performance-Reward Association .46 .36 .32 1.00 5. Subordinate's Influence .13 .28 -.06 .18 1.00 6. Satisfaction With Job .43 .27 .17 .41 .04 1.00 7. Perceived Success .25 .07 .16 .19 .24 -.06 1.00 Significant value of r: .05 level = .26 .01 level = .33 194 Table F-4 .-- Matrix of Dynamic (Corrected) Correlation Coefficients for Firm B "Low Cool" Managers Second Administration First Administration 1 2 3 4 5 6 7 1. Superior-subordinate Relationship 1.00 2. Goal Clarity and Relevance .41 1.00 3. Orientation Toward MBO .24 .28 1.00 4. Performance-Reward Association .42 .10 .14 1.00 5. subordinate's Influence .01 .00 -.15 -.05 1.00 6. Satisfaction With Job .18 .06 .08 .23 .05 1.00 7. Perceived Success .24 .12 .19 .25 -.05 -.13 1.00 .26 .33 Significant value of r: .05 level .01 level 195 dynamic (corrected correlations) which are significant at the .05 level for the high cool managers and there are seven for the low cool managers. The methodology for the inference of causality is the same as that of Appendices C and E. To locate the significant asymmetrical relationships between the cross-lagged panel correlations, a matrix of differences is set up for each sample (Table F-S and Table F—6). The most efficient mechanism for discussing these differences is the effects diagram for each of the samples. Effects Diagram - ”High Cool" Managers The relationships between the seven system variables for the Firm B ”high cool" managers is shown in Figure F-l. For each of the significant dynamic (corrected) correlations (at the .05 level) a solid line is used to connect the two change variables in the diagram. A dotted line shows that a dynamic (corrected) correlation is significant at the .10 level or better. The inference of causal priority suggests three asymmetrical relationships among the cross-lagged panel correla- tions for the high cool managers at the .10 level or better. These are shown in effects diagram as unidirectional arrows. The relationship between changes in goal clarity and relevance and changes in superior-subordinate relationship is different for the high cool managers than for the total sample. For the sample of high cool managers, increases in the clarity and relevance of goals leads to increases in the relationship between the manager and his superior. A comparison of the effects diagram developed here with the effects diagram for the Firm A "high cool" managers (Chesser, p. 112) shows even greater differences. The most obvious difference is that the 196 Table F—S .-- Matrix of Differences Between Cross—Lagged Panel Correlations for Firm B "High Cool" Managers Second Administration First Administration 1 2 3 4 5 6 7 l. Superior—Subordinate Relationship -.23 -.18 -.Ol —.27 -.19 .20 2. Goal Clarity and Relevance -.13 -.09 -.38 -.25 .04 3. Orientation Toward MBO .10 .05 -.02 .12 4. PerfOImance-Reward Association -.02 —.16 .02 5. subordinate's Influence -.16 .20 6. Satisfaction With Job .28 7. Perceived Success Notes: 1) These differences are calculated as the correlation for a First Administration Variable (X ) with a Second Administration Variable (Y ) minus the correlation of the First Administration Varia 1e (Y ) with the Second Administration Variable (X2) or rx1Y2 — rx2Y1 2) r = .19 zz‘zl .20 level = .24 .10 level = .31 3) Significant Difference ( Ar) at .05 level = .37 .01 level = .44 197 Table F~6 .—- Matrix of Differences Between Cross-Lagged Panel Correlations for Firm B "Low Cool" Managers Second Administration First Administration 1 2 3 4 5 6 7 l. Superior—sabordinate Relationship —.02 .25 -.15 -.07 -.32 —.13 2. Goal Clarity and Relevance -.12 -.15 -.l6 -.17 -.26 3. Orientation Toward MBO -.18 -.04 -.31 .12 4. Performance-Reward Association .16 —.14 —.O6 5. Subordinate's Influence .05 .04 6. Satisfaction With Job -.05 7. Perceived Success Notes: 1) These differences are calculated as the correlation for a First Administration Variable (X ) with a Second Administration Variable (Y2) minus the correlation of the First Administration Variable (Y1) with the Second Administration Variable (X2) or erYZ - rXZYl 2) r _ = .19 22 zl .20 level = .24 .10 level = .31 3) Significant Difference ( Ar) at .05 level = .37 .01 level = .44 .IIIHD‘ 198 Figure F-l.-— Effects Diagram of Change Relationships in the MBO now :uflz :0flpoemmfipmm :fl mowcmsu a ‘ Om: 68m 309 :oflpmqufiHo Cw mmwfimgu i ‘ cowueAUOmm< euezomnoocmEHOMAom cw mowqmnu mflnmcofipmaom opmcfleaonsmsHOfiaomam.lu. :H momnmcu Behavioral System for Firm B "High Cool" Managers a ooao>oaom w 4| 5.330 Row [AI Y mfieou mice»: 5 mmooosm eo>fioo used :w mowcmno . _ . _ _ a CH mownmnu mfimoo ao>o oucosfimcH opmafieaondm :H mowqmzo —>—_ ‘_ 4 “E... ‘nlu‘- V... — - 41 _1_ — ~ - - . ‘__..— 199 number of significant relationships between system variables is much less for the Firm A managers. A part of this difference is attributable to the larger sample size for the Firm B managers. It should be noted that two of the five significant relationships in the effects diagram for Firm A are negative, while all the relationships for Firm B are positive. Another difference between the Firm A and Firm B managers is that of the "driver" variable. Clearly, for the Firm A managers, changes in Goal Clarity and Relevance cause Changes in the Relationship between Superior and subordinate. While this same causal relationship is found in the sample of Firm B managers, the Changes in Goal Clarity and Relevance variable is "driven" by the variables, Changes in Subor— dinate Influence over Goals and Changes in Satisfaction with the JOb. The net result of these causal differences is that the driver and output variables have reversed themselves for the two samples of "high cool" managers. Effects Diagram - "Low Cool" Managers In the original study, the effects diagram for the Firm A managers who rated themselves as "low cool" on the Ghiselli dimensions was the same as the effects diagram for the total sample of Firm A managers. This is not the case for the Firm B "low cool" managers (Figure F-2). There are three significant dynamic (corrected) correla- tion coefficients at the .05 level with four additional coefficients significant at the .10 level or better. To assess causal priorities, it is required to search the matrix of differences between cross-lagged panel correlations at a significance level of .20. Since only one asymmetrical relationship is found at that level (variable 1 with 200 new spa: :oMHQNMmflpmw :H momcmgu . _ . _ _ a om: phmzop :ofipmueoflno :fl momqozu _ deflpmfioomm< enezomxoocwenomaoa :H momcmnu magm:0fiuwfiom opmcfieaonnmuhoflAoQSm :M momqmcu — -2.-- Effects Diagram of Change Relationships in the MBO Behavioral System for Firm B "Low Cool" Managers Figure F ouna>ofiom w sunnaau seem :a momcmnu mHmoo mega»? fl mmooosm eo>fiou chem :fi momnmzu 201 variable 3), it was determined that the relationships for the "low cool" managers were mutually reinforcing. The relationships established in the effects diagrams for the managers of Firm B were found to be moderated by the Ghiselli dimensions—- perceived occupational level, initiative, self assurance, and intelli- gence. This finding replicates a similar finding for the managers of Firm A. 7.! BIBLIOGRAPHY BIBLIOGRAPHY Bentz, V. J. ”The Sears Longitudinal Study of Management Behavior." Washington, D. 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