A . , AN ANALYSIS OF THE PLACEMENT EXAMINATION SCORES. AT" , ' ‘1 - . MICHIGAN STATE COLLEGE e 1- i ._ BY USE :OF MULTIPLE AND PARTIAL ._1 ' ' ' A ’ T CDRRELATIONS A A ' _ THESIT THE THE DEGREE OF H A ‘ Gaylord Armond Walker ‘ 1932 ._ V- 11 MSU LIBRARIES .—_—. RETURNING MATERIALS: Place in book drop to remove this checkout from your record. FINES wi11 be charged if book is returned after the date stamped-below. . v . .3“. IaPJ.J.TU ., Juli-34.1.7! I u... .5.”a§fll¥.b. .bfliilgir'nfl-‘ln -. ., .. j .1. es T ‘1 .54.; J ‘A - ‘-~ t“! gr; F4 (0 OF TI? .13 PL1-C_].;IZIT BILL- 151‘._IOIISCU-11-S h. D H}- KICFIGgfl $1-1‘_COLLLCE 3: U33 01 1”?"I_LZ “-D ILZCIQL CUELZLLQIUJS Ehesis —-.--— Submitted to the Faculty of the Kichigcn State College of Agriculture and gpplied Science in Iarticl Ful— fillment of the Lea uire went for the Degree of Easter of Arts by G‘Slord ArmOhd Hulker Segtember, 1958 . Vy-s’a «~1-coT-usl - ‘. -«-q- I'r- 1101....“ U #141) {U} 414-1 ._1 S The Uriter wishes to express his sincere appreciation of the helpful suggestions and criticisms of L. C. Slant, Professor of Hethemutics, 3. 3. Crone, Associate Lrofessor of Euthemstics, and L. C. :mhons, Lrofessor of Xethemrticel Statistics. A 3157‘; ("1:5 i_ig}5;}') 0.1;. . Although placement examinations have been given to freshmen entering Lichigan State College for some years, very little has been done to determine the relation of the grades received on these examinations to the grades received in college. Since the basic purpose of these placement examinations is to determine the mental ap- titude of each student, it is highly important that the true value of these eraminations as barometers be known. With the above purpose in mind, the following study in the correlation of the scores from the placement examin- ations and the grades as received by the same students for their first term in college has been worked out. Three examinations were given to the freshmen when they entered school, namely English, Psychology, and Mathematics. Eor the purpose of facilitating the correla- tion, the range of grades received on these examinations was divided into four quartiles, and the grades recorded as being in quartiles l, 2, 3, or 4, with quartile f4 being the highest and quartile yl being the lowest. In determining the numerical figure to be used to represent the grades received for the first term in college, a grade of A was given a weight of 3, B of 2, C of l, D of O, and F of -l. The weights were added together for each student and divided by the number of courses taken. Grades in Military Science and :hysical Education were not in- cluded. A slight error was introduced at this point due to the fact that each course was given the same weight but this error is minimized to some extent since the academic courses taken during the freshman year are all basic re- quired courses and hence are not influenced by the indi- vidual student's likes and dislikes. The problem is separated into two sections. The first section consists of a random sample of 500 students taken from the college at large and the partial and multiple correlations are computed between the three placement examinations and their respective grades for the first term as outlined above. The second section treats the problem from the standpoint of the division in which the student is enrolled. For this purpose random samples of 100 Liberal Arts students, and 50 students from each of the two divisions, some Leonomics and angineering, were selected. This does not take in all the divisions of the college, but is fairly representative of the group. hore- over, the results obtained in this section are of special interest since the Liberal Arts group is composed of both men and women, the Home Economics group is women only, and the Angineering group is men only. Following are the results and conclusions arrived at for each section. The tables of computation are arranged after the discussion. In testing the significance of the correlation coefficients, the t-test’ was used. -ge 159, ”Statistical Kethods for fiesearch Workers" by R. A. Fisher Section I - Results I Regression equation: t = blx + bay + sz Solution by use of normal equations: 1 155271 1 0 Standard error = .ijdfld Standard deviation = .774084 multiple Correlation Coefficient = .5?1200 t 3 12.0151 Significant Single Correlation Coefficients: r w = .57be98 “J t - 12.1790 er 2 .032482 t 3 0.083? r = .312273 32 d- ll 10.4040 . (At4336459 H l t = 8.5954 .411485 H II 7.7957 Significant Significant SiSnificant Significant I“. 31 nificant mr Significant Note: X - Lnglish Llacement annination Score y - isychologt ilacement hxamination Score 2 - Lathematics ;1acement nxamination Score t - index of Grades Received First Term in College Bartial Correlation Coefficients: Xzoy .501174 9.J810 0.0548 5.5284 5.5066 Ecrtiel correlation Coefficients: (Holding one variable fixed} not Significant Significant Significant Significant Significant Significant (?olding two veriebles fixed) .197181 .279404 .183722 5.0065 Significent Significant Significant Section I - Conclusions A multiple correletion of .5V1200 shows that there is a fairly close relation betueen the grades received in college and the placement examinations. The single correlations indicate that the psychology placement examination with a correlation of .529502, is the best criterion of the students? ability and that mathe- matics is the least reliable. The partial correlation of the psychology score and grades with the mathematics and english scores held constant is the best of the partial correlation, although the best of the three‘ is only .279404 which is rather low. Since the multiple correlation index is only ap- proximately .05 better than the single correlation index between the psychology score and the gredes, it appears that the psychology placement examination alone may be used to predict success in college with practically the same accuracy as can be obtained when all three tests are used. Section 11 - Lesults Liberal Arts Students (n = 100) Regression equation: t = b x + b v b,z l a“ + a Solution b; use of normal equations: b = .195670 b - .194601 1 2 . a Standard error = .656015 Standard deviation = .778186 Jultiole Correlation Coefficient = .567905 t = 6.5167 Significant Single Correlation Coefficients: r. = .482973 x; t = 5.4005 r = .547220 XZ t = 5.6653. r- - .519256 oz t = 6.0148 r = .458559 Kt t = 5.1031 r-t = .431328 “ t = 5.46u0 r - .375517 Zt t = 5.3857 Significant Significant Significant Significant Significant Significant Sortiel Correlation Coefficients: (Zoldinq one variable fixed) L r = .577667 x”.z t = 4.0171 Significant r - .377841 xt.z t = 4.0192 Significant rw 3 .562852 ab-Z t = 5.8551 Significant rot \ 3 .164591 b ca t = 1.6434 barely Significant r ‘ = .294196 xtoa t “ 5.0516 Significant r = .128862 xz.y t = 1.2792 Larel; Significant Partial Correlation Coefficients: Holding two variables fixed) r = .279086 xt.3z t 2 2.8476 Significant r = .256816 yt-XZ t =.2.e056 Significant r = .155660 Zt-Xfl t 3 1.5215 not Significant Section II - Results Engineering Students (n = 50) Regression equation: t = V + b 2 . u 3 6 b X b 1 f Solution b; use of normal equations: bl: .187459 b2: .055279 b3: .248256 Standard error = .674075 Standard deviation = .759581 Lultiple Correlation Coefficient 3 .460948 t = 5.5986 Significant Single Correlation Coefficients: X3 t = 7.723“ r = .276089 Xi t = 1.9902 r Z = o l5')3rl {-20 ~ t = 2.4698 r 3 .421315 X t = 5.2480 at t = 2.0111 r t - .505502 2 t = 2.0955 Significant Significunt Significant Significant Significzit SignifiCLnt 10 Partial Correlation Coefficients: (Holding one variable .720109 I, ‘ 7g 1) O {)580 f‘l\ .294000 .221104 .041139 c+ 7.1151 Earticl Correlation CoefficientS° xt.yz yt.xz zt.xy \‘ V\ ( r70151111" .218767 1.520 two variables 4') Significant Significant Significant Significent narel; Significant not Significant fixed) Snrel; Significant Hot Significunt Significant 11 Section II - Results gome Economics Students (n = 30) Regression equation: t = b X + b‘1 + b-z 1 2’ 5 Solution b; use of nornel eguetions: b 3 .341264 b3: .292o55 Stunderd error 3 .494591 Standnrc deviation 3 .812294 Iultiple Correlation Coefficient - .796151 t 3 9.0520 Significant Single Correlation Coefficients: H II o C‘ C). O: O O Q,\ XJ t = 5.7101 H II C») ti. c..- O ’.J V XZ t = 2.9880 r = .541117 12 t = 4.5442 r‘+ = .539542 ‘b t 2 1.0719 _ .718008 it t = 7.e512 ‘1 ll .652816 H II Significant SignifiCLnt Signific:nt tignifiCLnt Significant Signific;nt Partial correlation coefficients: (Holding one variable fired) 0 b] g4 01 ,4; vi (\ .452466 .617174 . 4556800 .lele .075149 cf c1- ‘lo 4:0 1'} 5.2885 Lartiel Correlation Coefficients: Significant significant Signific;nt iigniiioent got 3ignific:nt w . Lot significant (Holding two veriubles fixed) .l45QQ8 o 504:5.)8 .431855 = .2901 - \, 'Z' .r. , " do‘u“.tl(‘k Hot Significnnt jignifiCLnt 3i gni ii 0;. nt Section ll - conclusions The results ohtained in section a appenr hold those arrived at in section 1, H5381;, thnt the bes single correlation coefficient is alrost as Cood es the nultiple correlation coefficie: ease, the hertiel correletion coefiicients fall :er below those of either the single or the multiple correlations. Eris would indieste thnt not much more accurac; is to he o;_:ta.ined 1;; using; the three place- ment exeninutions than is o teined if just the correction one is used. It is interesting to note how the c rrelstions var; for the different divisions. For the Liberal Arts division, the correlation 'netween the psycholog; placement examination scores and the grefes.is the highest with the nnglish scores renting second end the tethenetics third. for tne ter- tinl correlations in this group in which tvo of the veriahles are held fixed, the correlation hetuecn the English scores and the grndes tits the is;cholo¢; and 14 between the lsgchology scores and grades with the English and hathemetics scores held fixed. however, these partial correlation coefficients ere too small to be of much value except to portray the relative influence which the different examinations have when they are held at a fixed value in a particular correla- ticn.’ nor the nngineering division the Anglish exemins- tion scores and grades give the highest correlation while the correlations between the lsychology scores and the grades and the Hethemetics scores and grades are almost the same. rhe correlation within the home neonOhics division yields the best results of any of the divisions. in this case the multiple correlation coefficient is ver; high, almost .8, and the single correletions are also higher than the corresyonding ones for the other divisions. Correlation between rsychologj examination scores and grades is the highest single correlation vith a coeffi- cient of approximstely .75. the correlstion between the Kethenetics scores and grades is second, end that between the Lnglish scores and grades is third. Some of the results obtained are contrer; to expectations. One would expect the highest correla- tion between isychology and grades for the Liberal Arts division end home nconomics division, but for the Angineering division one might expect the nethe- matics score to correlate the bes with the grades but with the sample used the nnglish score correlated the best and the hethenetics the poorest. it would be interesting to check this result for succeeding years and determine whether these relations continue to hold true. l? inel Date-Section I Orig Tu .DOOOr {08742422 nUoRurlz 0514.44. 111.61 111.111 101.6 102 06 .2 4.064:.6r614451254.63q011111555r6 51519.6545n01n6341n64151415p641 51211n654114n64135511513442 FD 2w0orl 80620252485864.5058 27 O 1 011-1 11 06 2122 01 1245.342225111214234224114. 1544222211111524545535124 .3 5 on Note: x - English Placement Examination Score 6 ern I01 00 03m 3 I new HOT 01 .1+ut tons anr nil .8 3de X;ne +ui tne n80 eme maesn BC 0&8 ale 1Pd Di 8 Sr VJCG ~61 Otf 180 0mm hex Che Vutd “smwn will ... VuZt College 18 eriginnl Data-Section I V. y .0 070052 224060704222225106_0 0.. 1 11110 11 1 2211111 1. O 4221412352214124425522152 4111412145224442142422222 O 72 05144446227105 0002552 1006 2 2 1111 11 01112 2. 1314152415441143212214.0651 3115134423441142411113232 II \In.u 1-! 4|: .i. . . . 19 Original Date-Section I 37 .5 .6 l 53554.22251214141141311141 4244234124.554111542211141 O 222 4650 .0. 00.0 2 o o 2102 200 111 45n01432313155424424152441 4.4.42342414145423423135341 4414132314251421425534351 2.0 Original Data-Section I Z 5 400282 000 7062 22 0757,1008 o o o o o o Ill-120112011202_Ol - l 4411442144115254235112132 4431442343215454213112441 477548.102 20002540775 0 _ 1111120 2211 21111 3341415311221254114232124 2351222431414123224142345 2521132452543341124145354 21 Original Data-Section I .0 577266070217002352200462 OOOOOOOOOOOOO O. O O 0.. 0... lnal ll 1.9». 1122..»— 12 0 10Q4422n021in.~l0152421_104541201 13422314141235254121124.2551 1343212414211554512232531 008402206 0050~00545 O O O O O O O O O O O O O O O O 0 121—1111 011 221121 “.25 1.5 00 7 r0 0 o o 1 1.5 1521223131343441443242133 5235423142445441443342251 9 5 Original Data-Section 1 40.3847 6 7870202081042 080 o o. .00 o 000.00.00.00 .9. _21 11010 1 1111- 2 0.1. l 54212212452HJ.02n0122r/~4,321,014. 44214415141555111091411415 24.4.2321514.10b5513141321425 4.02.4.5 4470724600 25.00 7 00... 0.00.0000 0.0. 0 1b 1 01 2 21.121.02.110 124. O 0 ll n0214424013444454413122124.5 35214340124155534242412254. l421334134245435141321315 Totals rand r" '9' 26.6 .0 n0 Ru 755 744 761 Leuns: 4.8430 54.40 22.9.... c... 8833 "" XWJZt NI 7' %l NI H dl xl -1054 04:6 1.46 04:6 1.40 -1.54 -1.54 -1.54 1.45 —1.54 1.46 -1.54 -.54 -.54 -.54 1.46 -.54 1.46 1.46 ‘054 .46 -.54 -.54 .46 .46 equals x minus the mesn of x «I -1.48 .52 1.52 1.52 -.48 -.48 -.48 "o “:8 -1.45 -1.48 -1.48 -1.48 -1.48 .52 -.48 1.52 .52 1.52 .52 .52 .52 .52 -1.48 “048 1.52 H N H H H H W N d! -1.05 ‘085 .55 ‘0u5 -l.05 .75 .15 "loOO -.05 -.85 -.55 -.15 .55 -.25 -.55 1.75 -.45 17 J Z .45 .95 1.25 -.25 -1.05 .15 -055 1.617 -0391 .805 -01Ul -1.155 -.251 2.002 ‘0075 1.509 -.805 .251 -.189 .155 .297 2.555 .243 -.515 .575 .155 .069 -.lbl m 1.554 -.442 -.552 .504 -.5u0 -.072 .024 .074 1.258 .814 (',(‘(,' o Labia -.518 -.150 .264 2.500 -.254 2.052 .254 .494 .550 -.150 1.554 -.072 -.552 10.772 2t 1.512 .574 .858 -.195 “0588 1.1?0 37:3? 2.2792 .2592 2.2192 .6992 -.7008 .7592 .7592 .7592 2.2792 2.2792 .7992 ‘0 2808 .2592 2.2192 -0 2808 2.2192 .7592 -.2808 .2592 -.2808 .7992 -.2208 .6992 15.8400 2.2176 "o 2.024 2.2776 .2576 .8176 -2.4024 .6776 .6776 -.o424 -.8624 —2.1024 2.2176 .7776 .2576 .7776 2.2776 .2576 .8176 2.2776 .2576 -.2024 -.8424 .7776 ‘0 (71124 .7176 1:25600 ‘08288 2.1512 2.1512 2.1512 .6912 2.5712 -.2288 .8512 -.2288 ‘0 2.288 .8112 2.1512 .6912 2.5712 2.5716 .2116 2.1516 .2116 2.1516 2.5716 2.5716 2.5716 2.1516 2.5716 2.1516 2.5716 .2916 .2916 2.1516 .2916 2.1516 2.1516 .2916 .2116 .2916 .2916 .2116 .2116 2.1904 .2704 2.5104 2.5104 .2504 .2504 .2504 .2504 2.1904 2.1904 2.1904 2.1904 2.1904 .2704 .2504 2.5104 .2704 2.5104 .2704 .2704 .2704 .2704 2.1904 .2504 2.5104 2.0756 .1966 2.4556 .5156 .3156 2.4556 .1956 .1956 .1956 .5156 2.0756 2.0756 2.0756 .1956 2.0756 2.4006 .1956 .5156 2.4556 .1956 .1956 2.4556 2.0756 2.0756 2.4356 20.5600 52.2500 750.1000 51.9m 1.1025 .7225 .5025 .1225 1.1025 .0225 1.6900 .0025 .7225 .0225 .1225 .0625 .5025 5.0625 .2025 1.822 .2025 .9025 1.5625 .0625 1.1025 .0225 .1225 >4! . .46 -1054 -.54 “1.54 -l.54 -.54 .46 -1054: -1.;34 1.46 -.54 1.46 ‘1054 .46 .46 .46 -1054 -1054 04:6 -1.54 .46 1.46 104:6 -.54 «I .52 -1.48 058 -1.48 -.48 .52 1.52 .52 .52 -1.48 “0’18 .52 1.52 -1.48 “048 1.52 -1.48 .52 -1.48 1.52 -1.48 .52 -.48 1.52 -1.48 NI 1.56 -.44 1.56 -.44 -.44 -1.44 1.56 1.56 .56 -1.44 -.44 .56 1.56 -.44 .56 .56 -1.44 -1.44 -1.44 -1.44 -1.44 .56 .56 .56 -.44 fil .45 -.05 .95 -.05 -.55 -.05 .75 .65 .55 .15 .55 -.85 .15 “1.05 -005 1.45 -.55 .15 -100? .90 «.55 1.05 “065 1.55 -.65 3‘5 .254 .074 .494 .074 .168 -.026 1.140 .558 .182 -.222 -.168 -.442 .228 1.554 .024 2.204 .518 .078 1.554 1.444 .814 .546 .512 2.052 .962 14.156 725 .702 .022 1.482 .022 .154 .027 1.170 1.014 .196 -0216 -.154 “04:76 .254 .462 -.028 .504 -0216 1.512 ’10 £508 .792 .588 -0 (50/1- .756 .286 7‘. J08 3337 02592 2.2792 '02808 2.2792 .7592 “02808 .6992 .7592 2.2792 -.7008 -.2808 2.2192 2.2792 “.2208 06392 -.6803 -08008 2.2792 .6992 2.2792 .2592 ~.7008 2.2192 .7992 1.8 o 2‘1‘OO XZ .6776 -.8424 .6776 .6776 .7776 .7176 2.2776 -.8624 2.2176 “.6424 -.5024 2.2776 .6776 .2576 .2576 -.6624 2.2176 2.2176 -.6624 2.2176 .2576 .8176 .8176 .2576 17 OO‘JOO 24-6 3— .8112 .6512 .6112 .6512 .2112 -.7468 2.5712 .8112 .2912 2.1512 .2112 .2912 2.5712 .6512 -.2688 .6512 2.1512 ‘07488 2.1512 -2.1888 2.1512 .2912 -.2688 .6512 .6512 -~T* 17.0600 1m .2116 2.6716 .2916 2.5716 2.0716 .2916 .2116 2.1616 2.6716 2.6716 2.1516 .2916 2.1516 2.6716 .2116 .2116 .2116 2.5716. 2.5716 .2116 2.5716 .2116 2.1516 2.1516 .2916 54.65'0 w] .2704 2.1904 .2704 2.1904 .2504 .2704 2.5104 .2704 .2704 2.1904 .2504 .2704 2.5104 2.1904 .2504 2.5104 2.1904 .2704 2.1904 2.5104 2.1904 .2704 .2504 2.5104 2.1904 -W‘! 02.1600 2.4556 .1956 2.4556 .1956 2.0756 2.4556 2.4556 .0156 2.0756 .1956 .5166 2.4556 .1956 O 151(56 .5156 .0756 .0766 .0766 .0756 ”.0756 .5166 .5156 .5166 .1956 DDNIVR? 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"E .0056 .5156 1. 557 6 1.5876 .0056 .0056 .1156 .0056 .8856 1.7956 .0196 .0196 .5156 .0014 .5156 1.1256 .1296 .4096 .5476 1.1256 .7596 .tfl356 .8856 .0056 .1956 17.1625 12.9558 X 1.19 .19 .19 .19 .19 1.19 -.81 -1.81 1.19 -.:1 1.19 1.19 1.19 1.19 .19 1.19 1.19 1.19 -081 .19 .19 1.19 .19 1.19 1.19 LibeILl arts «fl +~I H C O O 0 "10101 O] O] O U CDCH3(DCDC> F~H O U} -.50 -l.50 1.50 -l.50 .50 1.50 1.50 -.50 1.50 1.30 1.50 1.50 -.50 .50 -l.50 .50 1.50 .50 .50 v,w‘ 09-6 MI .85 -.15 -.15 -1.15 -1.15 1.85 -1.15 -1.15 -.15 -.15 .83 1.85 .85 -1.15 .85 .85 1.85 1.85 -.15 1.85 -1.15 -.15 1.85 .85 -1.15 :VL“ - 66008 dl .74 .74 -1.51 -.06 -.06 -.06 -1.06 .24 1.14 -1.26 —.06 1.94 .94 -.56 .54 .74 1.14 1.14 -.86 1.14 -1.06 -.66 .44 .44 .94 m xt .8806 .1406 -.2489 -.0114 -.0114 -00714 .8586 -.4544 1.0566 1.0206 -.0714 2.5086 1.1186 -.4284 .0646 .8806 1.5566 1.5566 .6966 .2166 “02014 -.7854 .0856 .5256 1.1186 11.7175 —-—- 3t 2t 1.1100 .6290 -.”700 -.1110 -1.9650 .1965 -.0500 .0690 -.0900 .0690 -.0900 -.1110 .5500 1.2190 -.5600 -.2760 1.7100 -.l710 1.8900 .1890 -.0000 -.0510 2.9100 5.5890 1.4100 .7990 .1600 .4140 .5100 .2890 1.1100 .t230 1.7100 2.1090 1.7100 2.1090 .4500 .1290 7 .5700 2.1090 1.5900 1.2190 -.5500 .0990 .6600 .8140 .2200 .5740 .4700 -1.0810 15.4550 15.2533 fl } .D...I‘;* . .lp.i .. lint x; 1.7850 -.0950 .2850 .0950 .2850 1.7850 .4050 2.7150 1.7850 1.2150 .5950 1.7850 1.7850 -.5950 .2850 1.7850 1.7850 1.7850 .4050 .0950 -.2850 .5950 .2850 .5950 .5950 4. Liberal arts 1'; Z 1.0115 -.0285 -.0285 -.2185 -.2185 2.2015 .9515 2.0815 -01785 .1215 1.0115 2.2015 1.0115 .1515 1.0115 2.2015 2.2015 .1215 .5515 .5515 1.0115 ‘w???' (It) -10 7230 P” 00000000 000000 MEYFJH (JIQJIQN in Ch in Ln 0» LN Ln 2“ O 0 Po ~H .3 ~= «a ‘3 ~5 ~J ~a DO DC DC a U' U] U} U} U! J1 U: I H O N U“: .i\ ‘7‘ O \‘1 1.0 0 <1 4’ (\‘I m. Cl (\3 -3 H.) p; ~Jngq—Qp OOOOOCOOOOO O . \ _‘~ ---—.'-o , ». ‘ ) r '. Students 1.4151 .0551 .0551 .0651 .0351 1.4151 .5551 5.2751 1.4151 1.4151 1.4151. 1.4151 1.4151 .0551 1.4151 1.4151 1.4151 .5551 .0001 .0551 1.4151 .0551 1.4151 1.4151 9fl25 ntmzonam ; - I p00~ .- - ”‘2 ~‘ ”7‘ C NI m '.OO\1 N'I‘C N I‘D DD (‘3- D? I" (\7 NJ Do. osmwfib '- I \— O 0. V F" F" C): |-- I-’ O O U ”3 C) C) N R" i"? (Y) I‘- q I 1‘3 N (‘3 l\. O“. O O .<1H’>~"OC‘C>." ’1LfiUIUHmCfiQnOIUHmCNOIUmm ._J O C) ~ I J o N (‘3 U 0 . ‘U'rfi'Orbr-bfl -' (‘3 t: (‘3 ti? C}: (x O O \J‘. - 0 F] o " D.“ (‘3 (\3 D? (Y: 1“.“ D." (K? I" {‘3 I'" '1 Ci 0| 01 O} 01 UK D"; o 0:511sz 10 L)C:Ca5 .— dl \Jl .zé7u .5475 1.7161 .0065 .0055 .0055 1.1250 .0570 1.2995 1.5875 .0CL55 0.50Q7 .8850 .1290 .1155 127' I \J r; C HF# o O O m-finamv= “u; c C de O .19 1.19 .19 -l.81 -l.81 .19 -.81 -1.81 -1.8l .19 a") O U .19 1.19 1.19 1.19 .19 1.19 -1.81 -.81 .19 .19 1.19 -.81 -1.81 -1.81 Liberal 1rts c3] -.50 -1.50 -.50 -1.50 1.50 -l.5O .50 -1.50 -1.50 -1.50 .50 -.5O -.5O .50 1.50 .50 1.50 -1.50 -1.50 .50 .50 1.50 -.50 —.50 -1.50 NI 1.85 -.15 -.15 -1.15 .85 -1.15 .E35 -1.15 -l.15 -1.15 .85 -.15 .85 -1.15 1.85 -l.15 1.85 - .15 -.15 -1.15 ‘01:)- -.15 -.15 -1.15 -;15 43-6 Students .3 "OCU .94 -o2é) -.06 -.56 -1.46 -1.5 - .06 .94 .74 ”006 -.46 “006 -.76 1.44 .54 -.36 .44 .64 -.56 -l.16 -.56 "logl _a Kt -.0684 -.5094 .17Z36 .4706 -.23J4 -.0114 .4556 2.6426 2.5711 -.0114 -.7614 .1406 -.0714 -.5474 " o 0714': ‘ o 14:44: l.’i1.n) -.9774 .2916 .0856 .1216 -.4284 .9596 .6516 2.5711 8.774 .1800 -.6660 .5900 .0é90 -.4700 -.1410 .5900 .2990 .2100 .1190 .0900 .069 -.2800 -.4760 2.1900 1.6790 1.9650 1.5065 .0900 .0690 .4700 .7990 -.5700 -.1110 .0500 -.0510 -.2500 .5690 “00900 ‘0 1110 -.5800 .8740 2.1600 2.6640 -.8100 -.0810 .5400 .0540 .2200 -.5060 .NZOO -.0960 -.5400 .0540 .5800 .1740 .1800 ..4140 1.9650 .1965 8.8000 7.5000 Ky -.0950 -1.7850 -.0950 2.7150 -2.7150 -.2850 -.4050 2.7150 2.7150 -.2850 -.4050 -.0950 -.5950 .5950 1.7850 .0950 1.7850 2.7150 1.2150 .0950 .0950 1.7850 .4050 .9050 2.7150 Liberal Arts X2 .5515 -01785 -00285 2.0815 -.2185 -.6885 2.0815 2.0815 -.2185 -.6885 -.0285 1.0115 -105685 2.2015 -.2185 2.2015 .2715 .1215 -.2l85 -.0285 '01785 .1215 2.0815 .2715 32' -.9250 .2230 .0750 1.7250 1.2750 1.7250 .4250 1.7250 1.7250 1.7230 .4250 In? 0'1 0 N O 01 N m 4’ 0. p: «a «a p; ~1 «1 pr pr ‘3 umfiovmtnuwmcnOI OOOOOOOOO 15.5750 9.2775 1406250 U) _2 x .0561 1.4161 .0561 5.2761 5.2761 ..0561 5.2761 5.2761 .0561 .6561 .0561 1.4161 1.4161 1.4161 .0561 1.4161 5.2761 .6561 .0561 .0561 1.4161 5.2761 5.2761 300 500 500 500 500 vazunnmzv 54.5425 *2 .t .1296 .0676 .022) .8806 1.5223 .0676 .7225 .0196 1.5225 .0056 .7225 .5156 1.5225 2.1516 1.5225 1.7161 1.5225 .0056 .7225 .8856 .0225 .5476 .7225 .0056 1.5225 .2116 6.4225 .0056 1.5225 .5776 5.4225 2.0756 . 225 .2916 .0225 .1296 1.5225 .1906 .0225 .4086 .0225 .129; .0225 1.5456 1.5225 .1296 .0225 1.7161 23.262? 15.9850 41 Original Data-Section II 'eering Students .1 “ 11511 1 L: V0 6"04024440po 4.80 045024u0—0rlnfi 000000.... 000 000...... 1n6211_nClOr/~ .COll gnélllo n0241441414540b4444442c6_,O444,..dn6n0 4.7.014n0n05445l/klwa4341134442.,Ol 4:111A14:6119~4:511mu1t270922.192Af4w0u5971 8648840¢44209~nog4020 2078.06 oooooooooooooooooo coo... l 2 11.1. 1112118122021 1 425441.0424.554414144445431244. 25454541212442544.554.412.55 124.2~014Q~111531144n05431112 50.6 .3 5 Pl _0 Totals Grand 65.8 169 147 117 Xe&ns z - 5.58 NI -1.54 -.54 1.66 -.64 .66 -1.54 1.66 -.54 '10054 -1.64 -1.34 166 .66 -1.54 -l.54 1.66 1.66 .66 .66 1.66 .66 -1.54 “1.54 ”1.54: ‘034 11": (~ “god-c.» Engineering Students 37 '2 -094 002 .06 -1.68 1.06 -.6 .06 .62 1.06 .62 006 '058 1.06 .62 -1094: -1058 -.94 .62 -1.94 -.58 -.94 -.68 1.06 .62 1.06 .62 -.94 .62 .06 .62 1.06 .62 1.06 .62 .06 .62 .06 -.58 1.06 .62 1.06 -.58 -1094 “2058 -.94 -1.68 .06 .62 .06 .62 .524 “0670 1.124 -.476 .524 .124 -.O76 -.976 .124 -.O76 -.276 .924 .02- -.076 1.124 -.276 .924 .724 .10276 .924 -.276 -.576 -.476 .524 -0676 7022 .2296 1.8658 .1618 o 04:59 -.1662 -.1262 .2978 -.1662 .5698 .6098 .0158 .1018 "lo n3002 " o 4:582 1.5558 .4778 -0 84:22 1.5658 .7718 .6378 -.4J42 .2298 like 7011 7ft— ""0 4920 -.0406 1.1914 -.0286 .5554 00074: -.0806 1.6994 —.1166 .1474 .2594 .9794 .0254 .0714 .0674 -.2926 .9794 .0454 -.0766 .9794 -.2926 1.1174 .4IL74‘ .0194 - o 0406 7.129“ a .6249 .9629 ‘04:qu “02951 .5249 -.0471 -.0471 1.2089 .0769 0028.9 .1049 .5729 .0149 -.0471 .6969 -.1711 .5729 .4489 ..4849 .5729 .1049 1.5709 .6569 ..2109 -.4191 0‘ 1.7 rlo $4:va xv 1.2396 -00204 1.7596 -.0204 .6996 -00804 1.7596 .6596 1.2596 2.5996 1.2596 .6996 .6996 1.2596 ‘00804 1.7596 1.7596 .0696 .0596 1.7596 .6996 2.5996 1.2596 -.0804 -.0204 Engineering Students XZ . -.6508 .4692 -.6508 -.2108 04092 .5092 1.0292 .4692 “08508 .5092 5092 .4092 .4092 -.8508 -.8508 1.0292 1.0292 .4092 -.2508 1.0292 .2508 5.1692 1.8492 -.6508 “02108 7.5500 42-h 12 “05828 -.0828 -.4028 -.0572 .6572 -. 228 .6572 2.6772 -.5828 .7572 .5572 .6572 .6572 -.5028 .0572 .6572 .6572 .0572 -.O228 .6572 -.4028 4.6172 1.2972 .0572 .0572 m 11.7900 _2 X 1.7956 .1156 2.7556 .1156 .4556 1.7956 2.7556 .1156 1.7956 1.7956 1.7956 .4556 .4556 1.7956 _2 y .0856 .0056 101206 0U056 1.1266 .0056 1.1256 5.7656 .8856 5.7606 .8856 1.1256 1.1256 .8866 .0056 1.1256 1.1256 .0050 .0056 1.1256 1.1256 3.7666 .8850 .0056 .0056 .5844 1.9044 .1444 .5844 .5844 .1444 .5844 1.9044 .5844 .1444 .1444 .6844 05844 .5844 .5644 .5844 .5844 .5644 .1444 .5644 .1444 5.6644 1.9044 .5844 .5844 .015576 .005776 .076176 .855776 0000570 .005776 1.266576 .076176 .856776 .524176 1.628176 .856776 .075175 .651776 .226576 .104976 .456976 25.6500 16.0100 ”N. ,“_ .IIQV } lb‘ . Day/‘V NI 1.66 -1.64 -1.54 1.66 1.66 .66 -1.54 -.54 1.66 .66 -l.34 060 ~1.54 -.54 060 -.54 -054 -1.54 -.64 1.66 1.66 .66 .66 -.é4 -105; Engineering Students / NI -.58 -1.68 .62 .62 .62 .62 .62 -.68 .62 -1.38 .62 .62 .62 .62 .62 .62 -1.58 ”1058 -.58 .62 .62 .62 -1.58 -1.58 -058 13-2; -.676 -.676 .124 .724 .124 .124 -1.676 .724 .524 -1.276 1.124 -.476 .724 -1.276 -.276 0124 -.676 -1.076 1.124 1.524 .224 .424 “0076 -10276 Grand -1012E2 .9058 -.1882 1.2018 1.5858 -.1882 1.2018 .2158 1.7098 .7418 .8578 -.2462 -.8422 .0968 -.O422 .9058 .5858 1.8658 .1478 .2798 .0258 1.7098 Totals 15.8050 16.5061 £54 ”07100 -.0406 -.2406 .7674 .0554 .0074 .0074 “107766 .7674 .0194 2.4754 1.1914 .9254 .0454 -1.é526 “00166 01514 1.5114 -.O646 1.1914 1.4064 .2674 -.5986 -.0046 2.4754 8.0970 15.5260 ~m Q \1 \7 ~7‘ -CZC '5QQJG E t .0 o o. o ‘$‘O