I I 7 1 - 1 1 ,7 9 3 BRANDT, R ic h a r d P a u l , 1 9 4 2 THE RELATIONSHIP OF SELECTED PREADMISSION DATA TO GRADUATION, MEASURES OF GRADUATE PERFORMANCE, AND DEPARTMENT PROFILES OF COLLEGE OF EDUCATION MASTER'S STUDENTS AT MICHIGAN STATE UNIVERSITY. M ic h ig a n S t a t e U n i v e r s i t y , P h . D . , 1 9 7 0 E d u c a t io n , h i g h e r University Microfilms, A XEROXCom pany, Ann Arbor, Michigan THE RELATIONSHIP OF SELECTED PREADMISSION DATA TO GRADUATION, MEASURES OF GRADUATE PERFORMANCE. AND DEPARTMENT PROFILES OF COLLEGE OF EDUCATION MASTER' S STUDENTS AT MICHIGAN STATE UNIVERSITY By R ichard P. B randt A THESIS Submitted to M ichigan State U niversity in p a rtia l fulfillm ent of the re q u ire m e n ts for the d eg re e of DOCTOR OF PHILOSOPHY College of Education 1970 ABSTRACT THE RELATIONSHIP OF SELECTED PREADMISSION DATA TO GRADUATION, MEASURES OF GRADUATE PERFORMANCE, AND DEPARTMENT PROFILES OF COLLEGE OF EDUCATION MASTER' S STUDENTS AT MICHIGAN STATE UNIVERSITY By R ichard P. B rand t Statem ent of the P ro blem While th e re is co n sid erab le d ifferen ce of opinion a s to what im portance should be attached to the M a s t e r 's d eg re e, it is evident that la rg e nu m bers of people have earn ed and w ill continue to ea rn the M a s t e r 's d eg re e. This is p a rtic u la rly tru e of education, w here on e-half of a ll M a s t e r 's d e g re e s a r e aw arded. E a rly educational sy ste m s only provided education for the v e ry se le c tiv e . However, c u rre n t th eory holds th at ev ery m an is entitled to the m axim um am ount of education he can profitably u se. O ur sy stem of h ig h er education h as responded to th is p r e s s u r e by estab lish in g Ju n io r C olleges, b ranch cam puses, and off-cam pus cam pu ses. T his has allowed m o re people to com plete un dergraduate work and s t a r t gradu ate work. In addition, th e re is a national trend R ich ard P . B ra n d t tow ard continuing into g rad uate work im m ed iately following the u n d erg rad u ate work. These two fa c to rs have brought about a la rg e in c re a s e in demand for grad u ate education. This in creasin g dem and, in tu rn , h as brought about p r e s ­ s u re fo r selectiv e ad m issio n s from the a d m in is tra to rs and faculty of g rad u ate schools who find th e ir available re s o u r c e s depleted. yet, th e re is no stan dard m ethod fo r selectio n . As V ery little is known about the ac cu ra cy o r the long range effects of selection. O rganization of the Study The p rim a ry focus of the p re s e n t study, then, was an investigation of the relatio n sh ip of se lec te d p rea d m issio n data to p red icted su c c e ss in grad u ate school. S uccess w as m ea su red a s m em b ersh ip in one of five c a te g o rie s rela tin g to graduation o r no graduation, d uration of the M a s t e r 's p ro g ra m , m e a s u re s of p e r ­ siste n c e in the M a s te r 's p ro g ram , and m e a s u re s of acad em ic p erfo rm an ce in the M a s t e r 's p ro g ram . In addition, the rela tio n sh ip s of the p rea d m issio n data to d ep artm en t p ro file s was studied. In o rd e r to in vestigate th ese co n c ern s, a sam ple of 358 M a s t e r 's d eg re e students belonging to one of the five r e s e a rc h ca te g o rie s as of w inter, spring, su m m er, o r fall 1969 was selected . A s e r ie s of four m ultiple d isc rim in a n t functions w as calculated to R ic h a rd P. B ran d t te s t the relatio n sh ip of the selected p rea d m issio n data to predicted categ o ry m em b ersh ip . The group of students who had su ccessfu lly com pleted the M a s te r1 s d eg re e was then selected from the to tal sam ple. A m u ltiple r e g re s s io n an a ly sis w as then calculated to explore the re la tio n sh ip between the p re a d m issio n data and the duration of the Master* s p ro g ram . In addition, two canonical c o rre la tio n s w ere computed to re la te the p rea d m issio n data to a m e a su re of p e rs is te n c e m ade up of the total te r m s attended, the to tal te rm s m isse d , the duration, and the average co u rse load and a m e a su re of academ ic p erfo rm an c e made up of the to tal g rad e point av erag e, the total c re d its , and the total c re d its d e fe rre d . F inally, factor an a ly se s with the oblique solution for a ll fa c to rs with eigenvalues g r e a te r than 1. 00 w ere run fo r the to tal g raduated group and for each m a jo r d ep a rtm e n t w ithin the to tal group. M ajor F indings of the Study The re s u lts of th ese an a ly se s supp o rt the following co n clu ­ sions b ased on te s ts of significance a t the . 05 level w here applicable: 1. The se le c te d p read m issio n data is significantly re la te d to m em b ersh ip in the graduated, g raduated to d o cto ra l pro g ram , not en ro lled fo r 5 y e a rs , academ ic action, o r do not rea d m it categ o ry . R ic h a rd P . B ra n d t 2. Selected p rea d m issio n data is significantly d iffe ren t fo r the g raduated and the academ ic action g ro u p s. 3. Selected p rea d m issio n data is significantly d iffe ren t for the g raduated and the not en ro lled for 5 y e a rs group. 4. Selected p rea d m issio n data is significantly d iffe ren t for the g raduated and the do not re a d m it groups. 5. P re a d m issio n data for graduated groups is to the d uration of the M a s t e r 's p ro g ram . 6. P re a d m iss io n data for the graduated group is significantly rela te d to an index of p e rs is te n c e m ade up of to tal te rm s attended, to tal te rm s m isse d , duration, and av erag e c o u rse load. 7. P re a d m issio n data fo r the graduated group is significantly rela te d to an index of acad em ic p erfo rm an ce m ade up of total g ra d e point a v erag e, to ta l c re d its , and total c re d its d e fe rre d . 8. A fa c to r a n a ly sis of p rea d m issio n data for the graduated group y ield s an in te rp re ta b le s e t of fa c to rs . 9. The s e t of fa c to rs for each m a jo r d ep artm en t is a lm o st id entical to the s e t of fa c to rs fo r the to tal group and fo r each o th er dep artm ent. significantly related ACKNOW LEDGM ENTS The w r ite r w ishes to e x p re ss h is ap p reciatio n and acknowledge a debt of g ratitu d e: To D r. Van C. Johnson for h is ability to guide without undue r e s tric tio n and for h is encouragem ent and c ritic is m . To D r. N orm an T. B ell, D r. W alter W. Scott, and D r. Eldon N onnam aker for th e ir w illingness to se rv e on the guidance com m ittee. To D r. T. C. Cobb fo r providing the opportunity to work in the College of Education, which in tu rn provided the w r ite r with the n e c e s s a ry background for th is study. To John F. D ra p e r fo r h is s ta tis tic a l a s s is ta n c e . To my wife, P a tric ia , for h e r encouragem ent and supp ort and a lso fo r coding the data. To M arsh a L. Webb for typing the rough d ra ft of the text and the tab les. TABLE OF CONTENTS Page LIST OF T A B L E S .................................................................................................. v CHAPTER I. RATIONALE OF THE S T U D Y ............................. 1 S tatem ent of the P r o b l e m ............................ 1 6 P u rp o se of the S t u d y ....................................... T heory .................................................................................. O rganization of the S t u d y ................................10 II. 8 REVIEW OF THE L IT E R A T U R E .......................... 15 Im p o rtan ce of the M a s t e r 's D egree . . . . 15 P o litic a l o r Social T h eo ries Governing Selective A dm issio ns . . . . 16 Changing P r e s s u r e s in A dm ission S y s t e m s .............................................................. 19 The E ffects of Selective A dm issions . . . . 22 P re d ic tio n Studies R elated to Selective A d m i s s i o n s ............................... 28 ..........................................28 M e a su re s of P e rfo rm a n c e P re d ic tiv e M e a s u r e s ..........................................31 S u m m a r y ................................................................... 34 III. GENERAL DESIGN AND METHODOLOGY . . . . The S a m p l e ..............................................................44 The N ature and Source of D a t a .....................47 A naly sis P r o c e d u r e s ..........................................49 S u m m a r y ...................................................................53 iii 44 CHAPTER IV. Page FIN D IN G S........................................................................................ H ypotheses C oncerning Group M e m b e r s h ip .................................................................. H ypothesis 1 H ypothesis 2 H ypothesis 3 H ypothesis 4 Sum m ary of Group M em bership H y p o t h e s e s .................................................................. H ypotheses C oncerning M e asu res of P e rfo rm a n c e fo r G r a d u a t e s .............................. H ypothesis 5 H ypothesis 6 H ypothesis 7 Sum m ary of G raduate P erfo rm a n c e H y p o t h e s e s .................................................................. H ypotheses C oncerning D ep artm en tal C h a r a c t e r i s t i c s ........................................................ H ypothesis 8 S u m m a r y ................................................................................. V. SUMMARY AND C O N C L U S IO N S ..................................... 55 55 66 67 79 79 90 92 Im plication s fo r P re d ictio n of Group M e m b e r s h ip .................................................................. 96 Im plication s fo r M e a su re s of G raduate P e r f o r m a n c e ............................................................. 97 Im plications for G raduate P re a d m issio n P r o f i l e s ..............................................................................100 R ecom m endations fo r F u tu re R e se a rc h . . . 102 B IB L IO G R A P H Y ............................................................................................................ 105 iv LIST OF TABLES TOTAL SAMPLE DIVIDED BY CATEGORY . . 46 GRADUATES DIVIDED BY DEPARTMENT . . 47 VARIABLE ABBREVIATIONS AND ................................................................... DESCRIPTIONS 56 SIGNIFICANCE OF THE DISCRIMINANT FUNCTIONS FOR ALL G R O U P S ............................... 57 DISCRIMINANT FUNCTION COEFFICIENTS FOR PREADMISSION DATA FOR ALL .................................................................................. GROUPS 58 SIGNIFICANCE OF THE DISCRIMINANT FUNCTION FOR GRADUATE AND 5 YEAR NOT ENROLLED G R O U P S .............................................. 60 DISCRIMINANT FUNCTION COEFFICIENTS FOR PREADMISSION DATA FOR GRADUATE AND 5 YEAR NOT ENROLLED GROUPS .................................................................................. 61 SIGNIFICANCE OF THE DISCRIMINANT FUNCTION FOR GRADUATE AND ACADEMIC ACTION G R O U P S ................................................................... 62 DISCRIMINANT FUNCTION COEFFICIENTS FOR PREADMISSION DATA FOR GRADUATE AND ACADEMIC ACTION GROUPS ..................... 63 v SIGNIFICANCE OF THE DISCRIMINANT FUNCTION FOR GRADUATE AND DISMISSED G R O U P S ........................................................ 64 DISCRIMINANT FUNCTION COEFFICIENTS FOR PREADMISSION DATA FOR GRADUAtA a ND DISMISSED GROUPS . . . . 65 REGRESSION COEFFICIENTS, BETA WEIGHTS, STANDARD ERRORS, AND STEPWISE R FOR PREADMISSION DATA FOR GRADUATES WITH DURATION AS DEPENDENT VARIABLE . . . 68 CORRELATION MATRIX OF PREADMISSION DATA FOR G R A D U A T E S .............................................. 70 CORRELATION MATRIX OF MEASURES OF PERSISTENCE GOR G R A D U A T E S .......................... 71 CORRELATION MATRIX OF PREADMISSION DATA AND MEASURES OF PERSISTENCE FOR G R A D U A T E S ............................................................. 72 X2 TEST OF SIGNIFICANCE OF CANONICAL CORRELATIONS OF MEASURES OF PERSISTENCE FOR G R A D U A T E S .......................... 73 CANONICAL COEFFICIENTS FOR MEASURES OF PERSISTENCE AND PREADMISSION D A T A ............................................................................................ 74 CORRELATION MATRIX OF MEASURES OF ACADEMIC PERFORMANCE FOR GRADUATES ............................................................................. 75 CORRELATION MATRIX OF PREADMISSION DATA AND MEASURES OF ACADEMIC PERFORMANCE FOR GRADUATES .................... 76 vi TABLE Page 4. 18 X2 TEST OF SIGNIFICANCE OF CANONICAL CORRELATIONS OF MEASURES OF ACADEMIC PERFORMANCE FOR G R A D U A TES.............................................................................................77 4 .1 9 CANONICAL COEFFICIENTS FOR MEASURES OF ACADEMIC PERFORMANCE AND PREADMISSION D A T A .........................................................78 4 .2 0 HIGHEST FACTOR LOADINGS FOR PREADMISSION DATA FOR GRADUATES FROM ALL DEPARTMENTS USING THE PROMAX ROTATIONAL A N A L Y SIS ..........................................81 4.21 HIGHEST FACTOR LOADINGS FOR PREADMISSION DATA FOR GRADUATES ADMITTED NONDEGREE USING THE .....................................83 PROMAX ROTATIONAL ANALYSIS 4. 22 HIGHEST FACTOR LOADINGS FOR PREADMISSION DATA FOR GRADUATES ADMITTED IN ELEMENTARY EDUCATION USING THE PROMAX ROTATIONAL A N A L Y S IS ..................................................................................................85 4.23 HIGHEST FACTOR LOADINGS FOR PREADMISSION DATA FOR GRADUATES ADMITTED IN SECONDARY EDUCATION USING THE PROMAX ROTATIONAL A N A L Y S IS ..................................................................................................86 4. 24 HIGHEST FACTOR LOADINGS FOR PREADMISSION DATA FOR GRADUATES ADMITTED IN ADMINISTRATION USING THE PROMAX ROTATIONAL A N A L Y S I S .......................... 88 4.25 HIGHEST FACTOR LOADINGS FOR PREADMISSION DATA FOR GRADUATES ADMITTED IN COUNSELING AND GUIDANCE USING THE PROMAX ROTATIONAL A N A L Y S IS ..............................................................89 v ii CHAPTER I RATIONALE OF THE STUDY Statem ent of the P ro b lem The problem of controlling grad u ate a d m issio n s and en ro llm e n ts is causing in c re a sin g concern among the a d m in is tra to rs of grad u ate schools. The g rad u ate a d m issio n s o ffic er a t the U n i­ v e rs ity of Michigan re p o rte d th at grad u ate application s in c re a se d 20 p erc en t in the academ ic y e a r 1966 -157 o v er the academ ic y e a r 1965-66. * The Dean of the College of Education a t M ichigan State U niversity recen tly estab lish ed a faculty com m ittee to work on the problem of ad m issio n s and en ro llm e n ts. problem a t M ichigan State. E n ro llm en t h as becom e a The G raduate Student A ffa irs Office re p o rts an annual in c re a s e in en ro llm e n t of approxim ately 12 p e rc e n t in its annual re p o rt fo r the acad em ic y e a r 1968-69. Spaeth notes th at the in c re a s e in p r e s s u r e i s p a rtly due to the fact th a t a deg ree from a good g rad u ate school is the b e s t way to in su re a place in a p ro fessio n . 2 M ore im p o rta n t fo r C olleges of Education is the tren d of in c re a se d education re q u ire m e n ts c u rre n tly 1 2 being dem anded fo r ce rtifica tio n by the sta te le g is la tu re s and te a c h e r 3 o rg an izatio n s. The p r e s s u re fo r ad m issio n to g rad u ate study is also being inten sified by the d ec rea sin g tim e lag betw een the end of the u nderg rad u ate p ro g ram and the s t a r t of the g rad u a te p ro g ram . 4 D avis rep o rted th at 32. 6 p e rc e n t of the college s e n io rs he sam pled in 1961 planned to go to g rad u ate school the following acad em ic y e a r. 5 An additional 44 p e rc e n t planned to attend a t a l a te r date. Grigg re p o rte d that a study of college s e n io rs in 1956 showed th at 83 p e rc e n t intended to go on. A two y e a r follow -up on this sam e group showed g th at 48 p e rc e n t had actually en ro lled a s of June 1958. The in c re a se d dem ands for g rad u ate education a r e being felt esp ecially in C olleges of Education. In 1940, o n e -th ird of a ll M a s t e r 's d e g re e s w ere aw arded in education. By 1960, on e-h alf of a ll M aster* s d e g re e s w ere aw arded in education. 7 Grigg re p o rts th at twenty thousand M a s t e r 's d e g re e s w ere aw arded in education in g 1950. He e s tim a te s that fifty thousand w ill be aw arded in 1975. The production of M a s t e r 's d e g re e s by the colleges of education in M ichigan is even m o re strik in g . The C itizen s C om m ittee on H igher Education in M ichigan rep o rted th at 2, 553 M a s t e r 's d e g re e s w ere aw arded in education in 1963. The second hig h est num ber of d e g re e s w ere aw arded in E nglish, which had 616. g As g rad u ate schools re a c h the lim it of th e ir re s o u rc e s , faculty and a d m in is tra to rs concerned with a d m issio n s policy seek 3 ways of lim iting e n ro llm e n ts. B erelso n notes that g rad u ate schools have trad itio n a lly depended on a high ra te of a ttritio n to keep e n r o ll­ m ents in line with re s o u rc e s . a ttritio n of 40 p erc en t. T his r e s u lts in a n o rm a l ra te of Some g rad u ate schools, how ever, a r e turning to ca refu l sc ree n in g of applicants to lim it en ro llm en t. T his has been done for som e tim e in the p ro fessio n al schools, according to B e r e l ­ son, and has re su lte d in a n o rm al a ttritio n ra te of about 10 p e rc e n t. ^ R ecently, g rad u ate schools have a ls o used the techniques of lim ited ad m issio n s and estab lish m en t of off-cam pus c e n te rs . ** The College of Education a t M ichigan State h as had lim ited en ro llm e n t in specific M aster* s p ro g ra m s and a nondegree p ro g ram which functioned often as an open door to g rad u ate work. The open door policy in the non- d eg ree p ro g ram has re c en tly been elim inated by faculty action. In addition, ad m issio n re q u ire m e n ts in c e rta in d ep a rtm e n ts a r e going up. T his follows the p attern suggested by K urland. K urland points out that the n o rm al p a tte rn is to s e t c e rta in lo g ical ad m issio n r e q u i r e ­ m en ts such a s m inim um grad e point o r m inim um t e s t s c o re s . As p r e s s u r e fo r ad m issio n in c r e a s e s , the n o rm a l tendency is to r a is e the m inim um re q u ire m e n ts. E ventually, the re q u ire m e n ts a r e s e t so high th at they no longer b e a r any rela tio n sh ip to su c c e ss in a grad uate p ro g ra m . ^ A s ad m issio n s re q u ire m e n ts go up, the p r e s s u r e becom es g r e a te r to s e le c t the m o st acad em ically com petitive ap p lican ts. The 4 selectio n problem in graduate a d m issio n s, then, re la te s quite closely to the problem of p erso n n el selectio n . In p erso n n el selectio n the im p o rtan t question i s w hether the p erso n being co n sid ered w ill be able to p erfo rm the job o r not. 13 In g rad uate a d m issio n s the im p o rtan t question is w hether o r not the p erso n w ill g rad u ate. problem of effective selectio n h as been puzzling r e s e a r c h e r s . The Irvine and F e d le r, in dealing with the problem of d ifferen tiatin g between g ra d u a te s and nongraduates, found th at the p red ic tio n s based on an a n a ly sis of av ailab le data w ere sub ject to la rg e e r r o r s with re s p e c t to grad uatio n o r no graduation. problem . 14 O ther a u th o rs have a ls o noted th is Mayhew sug g ests th at r e s e a r c h e r s should be content with sortin g ap p lican ts into upper, m iddle, and low er c a te g o rie s. 15 Bogue su g g ests a m odel for estab lish in g cutting s c o re s on ad m issio n re q u ire m e n ts which elim in ates only the bottom stu den ts for whom failu re is p ra c tic a lly guaranteed. 16 In addition to the problem of selectio n of su c c e ssfu l s t u ­ dents, the problem of efficient u se of student and u n iv e rsity re s o u rc e s i s involved in a good a d m issio n s p ro c e s s . B ru b ach er, H enderson, and M eder advance the concept th at ad m issio n s r e q u i r e ­ m ents m u st g u aran tee efficien t u se of the student* s talen t, the b e s t use of the school* s unique q u a litie s, and the b e s t fulfillm ent of s o c ie ty 's needs. 17 It is p a rtic u la rly im p o rtan t that ad m issio n s 5 p ro g ra m s m e e t th ese re q u ire m e n ts in light of the d isp ro p o rtio n a te am ount of higher education re s o u r c e s needed to o p era te a g rad u ate p ro g ram . One study a t the U n iv ersity of M ichigan noted th at the co st ra tio for fresh m an -so p h o m o re, ju n io r-s e n io r, and g rad u ate p ro g ra m s was 1:3:8. 18 M cConnell em p h asizes th at r e s e a r c h e r s should d ire c t th e ir attention to the problem of efficient u se of U niv ersity re s o u rc e s and not to b e tte r selectio n p ro c e d u re s. He contends th at "planning fo r the future should be based on w hat se em s to be an inescapable assum ption, nam ely, th at in the long run A m erican H igher Education as a whole w ill not becom e m o re se lec tiv e. " 19 S ev eral questions in addition to the question of g radu ation need to be answ ered in o rd e r to g u ara n tee the effective u se of student and U n iv ersity re s o u rc e s . It would be n e c e s sa ry to know the a v e rag e duration of a M aster* s p ro g ram in v ario u s d e p a rtm e n ts, the av e rag e co u rse load of the student, and the a v e rag e num ber of te rm s m isse d by the student in o rd e r to g u aran tee m axim um u se of the school* s re s o u rc e s . It would be n e c e s s a ry to know the d e p a rtm e n ta l c h a r a c te r is tic s of each m a jo r in o rd e r to in su re the b e s t u se of the student* s talen t. F inally, the p a rtic u la r co u rse offerings and d eg re e p ro g ra m s of the U n iv e r­ sity m u st be aligned with the needs of the so ciety serv ed by the U niv ersity. 6 P u rp o se of the Study The purpose of th is study is to inv estigate the rela tio n sh ip of selected p rea d m issio n data with s e v e ra l m e a s u re s of g rad u ate su c c e ss. The f i r s t question of in te r e s t is the pred icted m em b ersh ip in one of five groups. The f i r s t of th ese is the group th at g raduated within the p re s c rib e d tim e lim its but have not continued to the P h.D . p ro gram a t M ichigan State. The second group is com prised of s t u ­ dents who g raduated within the p re s c rib e d tim e lim its and continued in the P h .D . p ro g ram . The th ird group is m ade up of students who have had academ ic action taken ag a in st them as a r e s u lt of poor p e r ­ form ance in the M a s t e r 's p ro g ram . The fourth group is m ade up of students who have been asked to w ithdraw from the p ro g ram for v ario u s re a so n s. The la s t group is made up of stud ents who w ere accepted and enrolled for v a rio u s num bers of te rm s , but have not re -e n ro lle d for a t le a s t five y e a r s and a re , th e re fo re , no longer eligible to use th e ir earn ed c re d its fo r a M aster* s d eg ree. The purpose of exploring the question of group m em b ersh ip is to exam ine the b a sic question of graduation o r no graduation. A second purpose of th is study is to re la te the two graduated groups to indices of duration, p e rs is te n c e , and academ ic p erfo rm an ce. These re la tio n sh ip s w ill provide m e a s u re s of re s o u rc e use. s e v e ra l p re d ic to r v a ria b le s w ill be involved, the m u ltiv a ria te Since 7 techniques of m ultiple re g re s s io n , d isc rim in a te a n a ly sis, and canonical c o rre la tio n will be used. An additional purpose of this study is to exam ine the d e p a r t­ m ent p ro file s of the g raduate group. T his inform ation is needed in o rd e r to s e le c t the d ep a rtm e n t in which a p a rtic u la r student would be m o st likely to succeed. The following hypotheses w ere form ulated to exam ine the above questions: 1. Selected p rea d m issio n data is significantly re la te d to m em b ersh ip in the gradu ated, g raduated to P h .D . p ro g ram , not en ro lled fo r five y e a rs , academ ic action, o r do not re a d m it category. 2. Selected p rea d m issio n data is significantly d iffe re n t fo r the graduated and the not enrolled for five y e a rs groups. 3. Selected p rea d m issio n data is significantly d iffe ren t for the graduated and the academ ic action groups. 4. Selected p rea d m issio n data is significantly d ifferen t for the grad uated and the do not re a d m it g ro u p s. 5. P re a d m iss io n data fo r the g raduated groups is significantly re la te d to the duration of the Master* s p ro g ram . 6. P re a d m issio n data fo r the graduated group is significantly re la te d to an index of p e rs is te n c e for the Master* s p ro g ram . 7. P re a d m iss io n data for the graduated group is significantly re la te d to to ta l grade point, to ta l c re d its , and to ta l c re d its d e fe rre d considered to gether. 8. A fa c to r a n a ly sis of p rea d m issio n data fo r die graduated group w ill yield an in te rp re ta b le s e t of fa c to rs which w ill be d iffe ren t fo r each dep artm en t. 8 Theory T h e o rie s re la te d to the g rad u ate ad m issio n s p ro c e ss a re g en erally concerned with explaining p a tte rn s of a d m in istra tiv e behavior o r the p red ictio n of acad em ic su c c e ss. Bogue sug g ests a th e o re tic a l m odel which com bines the a d m in istra tiv e p a tte rn s with the p red ictiv e sy stem to yield a decision c r ite r ia fo r ad m issio n s. 20 B ottenburg and C h rista l th eo rized th at a d m in istra tiv e p a tte rn s among a group of r a t e r s could be grouped o r c lu ste re d into a sm a ll num ber of p a tte rn s which would explain r a t e r policy. 21 W h erry s used a facto r an a ly sis technique to identify the p rin cip al fa c to rs of a rater* s decision; r a t e r s with s im ila r p ro file s w ere then grouped in a s im ila r m ann er to B ottenburg and Christal* s w ork. 22 Roscoe theo rized that som e unknown, and th e re fo re unidentifiable, v a ria b le s w ere included in a rater* s a s s e s s m e n t of a student. He p re se n te d each r a t e r with a lis t of graduated studen ts and asked each r a t e r to s e le c t the top ten g rad u a tes from the lis t. He fe lt th at th is technique would help to include any n onm easurable values in the sy stem . 23 The stu dies which attem p t to explain a d m in istra tiv e behavior do not g en e rally try to p re d ic t acad em ic s u c c e ss . The in ten t is to identify the values underlying adm issio n d ecisio n s. T h eo ries re la tin g p rea d m issio n data and o th er fa c to rs to m e a su re s of academ ic s u c c e ss a r e num erou s. The g rad e point is 9 the m o st u n iv ersa lly accepted c rite rio n of su c c e ss in the academ ic setting. M ost r e s e a r c h e r s use the grad e point a t som e point in the p ro g ram , th e re fo re , as a m e a su re of s u c c e ss . M ehrabian c o r r e ­ lated ad v iso r ra tin g s with g rad e point a v e rag e on the assum ption that faculty ratin g s of g rad u ate studen ts w ill be co n sisten t w hether they a r e in the form of g ra d e s o r ra tin g s. 24 Owens re la te d p e e r ratin g s to g rad e point a v e rag e to te s t the assum p tio n th at students a r e able to s o r t th em selv es into ab ility grou ps. 25 C areton, Payne, Newman, Borg, H e rb e rt, and S trie k e r a re among s e v e ra l au th o rs who th eo rize th at g ra d e point a v e rag e can b e s t be p red icted by using som e com bination of fa c to rs . 26 The p a rtic u la r com bination of fa c to rs seem s to v a ry with each author. M e a su re s rela tin g to b io ­ grap h ical data, acad em ic p erfo rm an c e, and te s t data a r e usually included. F e d le r notes, how ever, that the ab ility to p re d ic t g rad e point a v e rag e m ay be as n e c e s s a ry a s putting a r a z o r edge on a hoe. Bogue, Irv in e, and Mayhew concur with F e d le r in theorizing that the m o st re le v a n t question in p rediction stu d ies m ight be the p red ictio n of graduation o r no graduation. 28 Irvine notes, how ever, that d e a l­ ing with the dichotom ous question of graduation o r no graduation is sub ject to la rg e s ta tis tic a l e r r o r s . 29 Mayhew th e o riz e s, th e re fo re , that i t se em s to be m o st p ro fitab le to co n sid er so rtin g app licants 10 into s e v e ra l broad c a te g o rie s. 30 Bogue su g g ests fu rth e r that s ta tis tic a l m ethods should be em ployed to define a th e o re tic a l ad m issio n s m odel which not only allow s fo r selectin g applicants into s e v e ra l c a te g o rie s, but a lso m in im izes the pred ictio n o r sorting erro rs. 31 O rganization of the Study Selected p read m issio n data for five grad u ate student popu­ latio ns w ill be run in a d isc rim in a te a n a ly sis to d e te rm in e the r e l a ­ tionship between group m em b ersh ip in a p a rtic u la r population and the p re a d m issio n data. P re a d m issio n data fo r the sam ple of students who receiv ed the M a s t e r 's d eg re e w ill also be re la te d to in dices of p e rs is te n c e , duration , and acad em ic p erfo rm an ce to d eterm in e the relatio n sh ip of the p re a d m issio n data to m e a s u re s of re s o u rc e use. In addition, the g raduated group w ill be exam ined by d ep artm en t to d eterm in e if significant d ep a rtm e n ta l c h a ra c te r is tic s a r e p re s e n t in the p rea d m issio n data. The relev an ce of the problem of selectio n in g rad u ate a d m is ­ sions and a ratio n ale for a study of selectio n p ro ce d u res has been p resen ted in C hapter I. The lite ra tu r e re la te d to selection and p r e ­ diction in g rad u ate a d m issio n s w ill be review ed in C hapter II. The specifications of the sam ple, n atu re of the p rea d m issio n data and the c r ite r ia , and a d e sc rip tio n of the m ethodology for analyzing the 11 data w ill be p resen ted in C hapter III. The r e s u lts of the an a ly sis w ill be p resen ted in C hapter IV, and the conclusions and a sum m ary w ill be p resen ted in C hap ter V. FOOTNOTES Byron L. G roesbeck, "G raduate A dm issions - -Are We P re p a re d for the Y e a rs A head?" College and U niv ersity, XLII, No. 4 (Sum m er 1967), 504-510. 2 Joe L. Spaeth, "A llocation of College G rad u ates to G ra d u ­ ate and P ro fe ssio n a l Schools, " Sociology of Education, XLI, No. 4 (F all 1968), 342-349. 3 H igher Education in a Decade of D ecision (W ashington, D .C . : N ational Education A ssociation , E ducational P o lic ie s C om ­ m issio n , 1959), p. 3. 4 G roesbeck, op. c i t . , pp. 504-510. 5 Ja m e s A. D avis, G re a t A sp ira tio n s (Chicago: Aldine Publishing Company, 1964), p. 43. 0 C h a rle s M, G rigg, G raduate Education (New York: The C enter for Applied R e se a rc h in Education, Inc. , 1965), p. 88. 7 B ern ard B erelso n , G raduate Education in the United S tates (New York: M cG raw -H ill Book Company, 1960), p! 182. 8 Gr i gg , op. c it. , p. 57. 9 R ep o rt of the C itizens C om m ittee on H igher Education in M ichigan, The C itizens C om m ittee on H igher Education, H arold T. Smith, Executive D ire c to r, 709 South W estnedge Avenue, K alam azoo, M ichigan, 1965, p. 3. 10 B erelso n , op. c i t . , p. 168. 11T. R. McConnell, A G en eral P a tte rn fo r A m erican P ublic H igher Education (New York! M cG raw -H ill Book Company, 1962), p. 9. 12 13 12 N orm an D. K urland, "M ore P eople Than P la c e s , o r How to E n su re Equality of O pportunity Among E quals When T h e re A re M ore E quals Than O p p o rtu n itie s ,11 College and U n iv e rs ity , XLIII, No. 2 (W inter 1968), 221-224. 13 J . P. Guilford and W illiam B. M icheal, The P re d ic tio n of C ateg o ries from M e asu rem en ts (B everly H ills, C alifo rn ia: Sheridan Supply Company, 1949), p. 2. 14 Donald W. Irv in e , "M ultiple P re d ic tio n of C ollege G ra d u a ­ tion from P re a d m issio n D ata, " Jo u rn a l of E x p erim e n ta l E ducation, XXXV, No. 1 (F a ll 1966), 84-89; and D aniel P. F e d le r, ''In trig u in g P ro b le m s of D esign in P re d ic tin g College S uccess, " E ducational and Psychological M easu rem en t, XXV, No. 1 (Spring 1965), 29-37. 15 Lew is B. Mayhew, "N ontest P re d ic to r s o f A cadem ic A chievem ent, " E ducational and P sychological M e a s u re m e n t, XXIX, No. 1 (Spring 1969), 39-46. 16 E. G. Bogue, "A pplication of a M inimum L o ss D ecisio S trategy in the Selection of Cutoff P o in ts in College and U n iv ersity A dm issions, " College and U n iv ersity , XLIII, No. 2 (W inter 1968), 131-141. 17 John S. B ru b ach er, B a ses fo r P olicy in H igher E ducation (New York: H a rp e r and B ro th e rs, P u b lis h e rs , 1960), p. 49; and A lb ert E. M eder, "A dm issions and the C o lle g e ," C ollege A d m issio n s (P rinceton: College E n tran ce E xam ination B oard, 19631" p. 41. 18 G rigg, op. c i t . , p. 35. 19 20 21 M cConnell, op. c it. , p. 9. Bogue, op. cit. , pp. 131-141. Raymond E. C h rista l, "JAN: A T echnique fo r A nalyzing Group Judgm ent, " The Jo u rn a l of E x p erim e n ta l E d u catio n , XXXVI, No. 4 (Sum m er 1968), 24-27; and R o b ert A. B ottenburg and Raymond A. C h rista l, "Grouping C r ite r ia - - A Method Which R etain s M aximum P re d ic tiv e E fficiency, " Jo u rn a l of E x p erim e n ta l E ducation, XXXVI, No. 4 (Sum m er 1968), 28-34. 14 22 R o b ert J . W herrys and Ja m e s C. N aylor, "C om parison of Two A pproaches - -JAN and P R O F --F o r C apturing R a te r S tra te g ie s, " Educational and P sychological M easurem ent, XXIX, No. 2 (Sum m er 1966), 267-286. 23 John T. Roscoe and Sam uel R. Houston, "The P re d ic tiv e V alidity of GRE Scores fo r a D octoral P ro g ra m in Education, " Educa tional and P sychological M easurem ent, XXIX, No. 2 (Sum m er 1969), 507 -509. 24 A lb e rt M ehrabian, "U ndergraduate A bility F a c to rs in R elationship to G raduate P e rfo rm a n c e , " E ducational and P s y c h o ­ logical M e asu rem en t, XXIX, No. 2 (Sum m er 1969), 409-419. 25 Thom as R. Owens, "P re d ic tin g A cadem ic S uccess in Master* s D egree P ro g ra m s in Education, " Jo u rn a l of Educational R e se a rc h , LX, No. 3 (November 1966), 124-126. 26 Edw ard E. C areton and L ouise W. C areton, "P red ictio n of Success in G raduate Study of Psychology a t U niversity of T ennessee, " A m erican P sy ch o lo g ist. IV, No. 8 (August 1949), 361-362; David A. Payne and Cynthia E, T uttle, "T he P re d ic tiv e R elationship of the M iller A nalogies T e st to O bjective and Subjective C r ite r ia of S uccess in a G raduate School of Education, " E ducational and P sychological M easu rem en t, XXVI, No. 2 (Sum m er 1966), 427 -430; R ichard I. Newman, "GRE S cores as P re d ic to rs of GPA for Psychology G ra d u ­ ate Students, " Educational and P sychological M e asu rem en t, XXVII, No. 4 (W inter 1968), 433-436; W alter E B org, "GRE Aptitude S cores a s P re d ic to rs of GPA for G raduate Students in Education, " Educational and P sychological M e asu rem en t, XXIII, No. 2 (Sum m er 1963), 379-382; David J H e rb e rt, r,A P re d ic tiv e Study of Q uality P oint A verages in G raduate Education C o u rse s, " Jo u rn a l of E d u ca­ tional R e sea rch , LX, No. 5 (Jan u ary 1967), 218-220; G eorge S trie k e r and J . T. H uber, "The GRE and U ndergraduate G rad es a s P re d ic to r s of Success in G raduate School, " The Jo u rn a l of E ducational R e sea rch , LX, No. 10 (July-A ugust 1967), 466-468. 27 28 F e d le r, op. cit. . pp. 29-37. Bogue, op. c it. , pp. 131-141. 29 Irv in e , op. c i t . , pp. 84-89. 30 31 Mayhew, op. c it. . pp. 39-46. Bogue, op. cit. , pp. 131-141. C H A P T E R II REVIEW OF THE LITERATURE Im portance of the Master* s D egree T h ere is co n sid erab le d ifferen ce of opinion in the lite r a tu r e a s to the place of the M a s t e r 's d eg re e; B e re lso n notes th a t sc h o la rs debated w hether it was a te rm in a l d eg re e o r a steppingstone to a d o cto rate a s e a rly a s 1902. * In 1910, Calvin Thom as of Colombia d escrib ed it as "a slig htly c u ltu ra l d e g re e , p a rtly a re s e a rc h d eg ree, but everyw here a teaching d e g re e , m ainly for the second ary schools. " B erelson quotes J . P. E ld e r, then g rad u a te dean of H arv ard , a s saying, "The M aster* s d eg re e is , a t p re s e n t, a b it like a s t r e e t 3 w a lk e r--a ll things to a ll m en (and a t d iffe re n t p ric e s ). " W hatever the place of the d eg re e, it is evident th a t i t is an ex tre m e ly popular d eg ree. In the academ ic y e a r 1962-63 a lm o st 88, 000 people earn ed the M a s t e r 's d eg re e. In 1953-54 it w as the h ig h est d eg re e held by half of a ll college and u n iv e rsity faculty m e m b e rs . It w as the highest d egree held by 60 p e rc e n t of a ll new faculty m e m b e rs in 1962 -63. 15 4 16 B erelso n re p o rts that a s of 1960, alm o st 600 in stitutions w ere aw arding the Master* s. Over a q u a rte r of these w ere lib e ral 5 a r t s o r te a c h e rs colleges. Snell r e p o rts that 30 p erc en t of the lib e ra l a r t s colleges, 63 p erc en t of the te a c h e rs colleges, and a ll g of the m a jo r u n iv e rsitie s aw ard the M a s te r 's d egree. The highest proportion of M a s te r 's d eg re es a re aw arded in education. In 1940, o n e-th ird of a ll M a s t e r 's d eg re es w ere aw arded in education. n early one-half a re aw arded in education. Now, In 1950, this amounted to 20 thousand d e g re e s in education; 50 thousand d e g re e s a r e p ro jected for education by 1975. 7 A larg e p a r t of this output is accounted for by a few la rg e u n iv e rsitie s. In 1961-62, for instance, the top ten d egree-producing in stitu tion s accounted for approxim ately 15.5 g p ercen t of the to tal output of Master* s d e g re e s. It is in te restin g to note that two of the top ten degree-producing in stitu tio ns in this study w ere the U niversity of M ichigan and Michigan State U niversity. P o litic al o r Social T h eo ries Governing Selective A dm issions The availability of education has always been related to c u rre n t p olitical and social p rac tic e. H igher education fo r the few had its origins in the G reco-R om an cu ltu re. for the upper c la ss. L iberal education was A risto tle taught th at the mind ru le s the body and it was a sim ple extension of th is that led to the theory th at the 17 upper c la ss ru le s the low er c la s s . g In P la to 1s R epublic, the u ltim ate control of the sta te w as given to a sm a ll body "whose in te lle c tu a l p o ten tialities have been winnowed from the chaff of the populace by a s e v e re and exacting d ia le c tic . The educational th e o rie s of the re n a issa n c e called fo r education of the e lite , a lso . In the e a rly h isto ry of United S tates education, T hom as J e ffe rs o n called fo r p r o ­ g re s s iv e sc re e n in g on the b a s is of in te lle c tu a l ab ility . ** C u rre n t thought se e m s to be supporting the id ea of providing m axim um education fo r a ll who w ant it. T. R. M cConnell s ta te s : "In a d em ocracy i t is ju s t a s g r e a t a c rim e to p rev e n t a m an, stro n g in mind o r c h a ra c te r, o r body, from accom plishing w hat n a tu re gave him power to do, a s to p rev e n t a weak m an from e x e rtin g h is pow er to the fu lle st extent in com petition o r cooperation w ith h is fellow s. " 12 The E ducational P o lic ie s C om m ission of the NEA co n c u rred in th e ir statem en t: "While governing b o a rd s of fa c u ltie s of educational in stitu tio n s can do much to reg u la te college atten d an ce, e ith e r by r e s tric tio n o r expansion, the A m eric an people th e m se lv e s u ltim ately decide who w ill go to college. " 13 H enderson s ta te s th at the problem of who should be educated should be d ete rm in ed by the needs and d e s ire s of the individual, the r e s o u rc e s , re s p o n s ib ilitie s , and p u rp oses of each in stitu tio n , and the ideology, m anpow er, and citizenship needs of the nation. 14 B ru b a c h e r quoted H orace Mann 18 as saying, "E ducation is the g r e a t e q u a liz e r of the conditions of m en --th e balance wheel of the so c ia l m ach in ery . " 15 While c u r re n t thought se em s to su p p o rt m axim um opportunity for everyone, th e re is a ls o the r e s tr a in t of lim ited re s o u r c e s . Many a u th o rs recogn ize th is and su g g e st se le c tiv e a d m issio n s p ro g ra m s which seek to a t tr a c t the b e s t qualified stu den ts to g rad u a te p ro g ra m s. The NEA E ducational P o lic ie s C om m ission called for heavy em ph asis in a ttra c tin g the gifted student, and se le c tiv e re c ru itm e n t as opposed to ad m issio n . 16 B ru b a c h e r n otes th a t the talented student is often the forgotten m an. He say s ju s tic e dem ands th at a student with s u p e rio r ab ility should have s u p e rio r opportunity. 17 Snell in his recom m endations fo r im proving the M a s t e r 's d eg re e ad vocates m inim um ad m issio n sta n d a rd s and p ro g ra m s no long er than a calen d ar y e a r in length so th at m o re people can go through them . 18 H a rte and Thompson, in th e ir su rv ey of legal c a se s involving ad m issio n re q u ire m e n ts , r e p o r t that the c o u rts have c o n ­ siste n tly upheld the rig h t of the u n iv e rsity to s e le c t students. The case of B u rel v s. D avision in 1894 is a landm ark c a se which e s t a b ­ lished education a s a p riv ile g e and not a righ t. The case of L en er vs. the State B oard of E ducation of New York upheld the rig h t of Brooklyn College to in s is t on a m inim um en tra n ce sc o re . 19 19 Changing P r e s s u r e s in A dm ission System s The e a r lie s t a d m issio n s sy stem belonged to the G reek s and was op erationally sim p le. fam ilies of nobility. blood and sex. The G re ek s only educated m ales from So, the only ad m issio n re q u ire m e n ts w ere 20 E a rly re q u ire m e n ts in A m erican u n iv e rs itie s w ere also quite sim p le. B room e re p o rts th at the e a r lie s t re q u ire m e n ts on re c o rd w ere published by H arv ard in 1692. The H a rv ard r e q u i r e ­ m ents read a s follows: When any sc h o la r is able to re a d Tully o r such like c la s s ic a l Latin au th o r ex tem p o re, and m ak e and speak tru e L atin in v e rs e and p ro se , neo (ut aiunt) m o rte , and decline p erfectly the p arad ig n s of nounes and v e rb e s in ye G reeke tongue, then m ay hee bee adm itted into ye college, n or sh a ll any claim e a d m issio n before such qualifications.'** The exam ination o v er the above re q u ire m e n ts w as usually given by the p re sid e n t of the school. H illg a rth re p o rts that by 1872, the ad m issio n d ecisio n had shifted to the faculty. The p ro ced u re in 1872 was to apply to the acad em ic council, statin g p re s e n t q u a lific a ­ tions and the y e a r of expected g radu ation . M ost g rad u ate students w ere from the u n d erg rad u ate p ro g ram a t H a rv ard . Thus, the faculty had se v e ra l y e a r s in which to decide who should be given the o p p o rtunity to go on. 22 20 The ad m issio n s problem in grad u ate school h as evolved from a sim ple beginning into a s e rio u s problem fo r ad m in istra tio n . Snell se e s the in cre asin g p re s s u r e a s being caused by five h is to ric a l fac to rs. F ir s t, by the period of 1870-1890 th e re w ere m any teaching positions in colleges for those with a M a s t e r 's d eg re e. Second, the rapid expansion of high schools and colleges p re p a re d m any m o re students for grad uate work and eventually cre ate d a demand fo r m ore te a c h e rs with the M aster* s d eg re e in the high schools and colleges. T hird, the electiv e sy stem , which was widely adopted in the colleges in the 1890* s, p re p a re d students for the sp e cia lize d work in g rad u ate school. Fourth, A m erican women, dem anding equal rig h ts, w ere f ir s t adm itted to g rad u ate school ju s t p rio r to the civil w ar. In the period 1870-1958 women earned 34 p e rc e n t of a ll M aster* s d e g re e s. Fifth, the developm ent of su m m er schools enabled public school te a c h e rs to continue th e ir stu d ies. Sum m er school en ro llm en t nationwide jum ped from 132,500 in 1919 to 943,000 in 1949. 23 G roesbeck feels th at the m o re re c e n t in c re a s e in a d m issio n s p re s s u re is due to the in c re a sin g num ber of people receiv in g the B. A. d eg ree, in cre asin g num bers of th ese people who want g rad u ate work, and the d e c re a sin g tim e lage between the end of the B. A. program and the s t a r t of the M aster* s d eg re e p ro g ram . 24 Davis docum ented Groesbeck* s contention th at g r e a te r num bers of people receiving a B. A, d eg re e want g rad u ate education. 21 He found in h is survey of graduating s e n io rs in 1961 that 32. 6 p e rc e n t w ere expecting to go to g rad u ate school in the following y e a r. additional 44 p e rc e n t expected to go a t a la te r date. 25 An Davis found, fu rth er, th at the u n derg raduate g rad e point c o rr e la te s w ell with graduate plans. He found th at 54 p e rc e n t of the students graduating in the top fifth of th e ir c la s s planned to go on in the next academ ic y ea r. By com parison, only 35 p e rc e n t of the students graduating in the top half and 22 p e rc e n t of the students graduating in the bottom 2q half planned to go on. G rigg re p o rts that a National Science F ounda­ tion two y e a r follow -up study found th at 83 p e rc e n t of the graduating se n io rs in 1956 e x p re sse d a d e s ire to go to g rad u a te school. A survey of the sam e sam ple two y e a r s la te r showed th at 48 p e rc e n t had actually enrolled in g rad uate school a s of June 1958. 27 G rigg in te rp re te d th is data to m ean that m any students w ere postponing th e ir g rad u ate work and would be applying to g rad uate school a t a la te r date. The data on graduating se n io rs in education compiled by D avis su p p o rts th is opinion. He found that m o re e d u c a ­ tion students said they w ere going to g rad u ate school a t a la te r date than those planning on attending im m ediately. nev er planned to go to g rad u ate school. V ery few said they 28 T. Ft. M cConnell notes an o th er so u rc e of p r e s s u r e for graduate ad m issio n s. College and u n iv e rsity a d m in is tra to rs often 22 e stab lish off-cam pus c e n te rs and branch cam puses in o rd e r to sa tisfy the demand for s e rv ic e s that cannot be m et a t the m ain cam pus. E stab lish m en t of th ese c e n te rs, according to M cConnell, not only sa tisfie d th ese dem ands but g e n e ra te s additional dem ands from students in the com m unity who a r e encourated to attend g rad u ate school because it is now m o re a c c e ss ib le . 29 H uganir, in an a r tic le dealing with p a rt-tim e studen ts, em phasizes the fact that in d u stry is often a ttra c te d to an a r e a p a rtia lly on the b a sis of the educational fa c ilitie s that w ill be a v a il­ able to th e ir em ployees. Tuition refund plans offered a s a fringe benefit thus becom e an im p o rtan t fa c to r in the num ber of p a rt-tim e students attending an institu tion. 30 The E ffects of Selective A dm issions As en ro llm en t p r e s s u r e in c r e a s e s , U n iv ersity a d m in is tr a ­ to rs often r e s o r t to se le c tiv e a d m issio n s to balance the dem and for se rv ic e s a g a in st the available supply. Many opinions have been offered a s to who should do the selectin g , how the selectio n should be done, and what the scope of the selectio n should be. H illg arth , a s w as m entioned e a r lie r , re p o rte d th at the selection d ecision w as given to the faculty in the e a rly y e a rs of graduate education. G rigg re p o rts th at the grad u ate school g en erally d e te rm in e s broad p o licies such a s re sid e n c e re q u ire m e n ts, foreign 23 language re q u ire m e n ts and m inim um c re d it re q u ire m e n ts. i t is the d ep a rtm e n t th at actually s e le c ts the stu d en ts. 31 However, B e re lso n concurs with the statem en t, "The graduate school a d m its stu den ts, to be s u re , but the d ep a rtm e n ts re a lly s e le c t them (what one u n iv e rsity p re sid e n t d e s c rib e s a s *som ething am ounting a lm o st to a guild system with r e s tric tio n of en try a t the d e p a rtm e n ta l le v e l' ). " 32 Thus, the fact th at selectio n is done a t the d e p a rtm e n ta l lev el is w ell estab lish ed . T h ere i s som e d ifference of opinion a s to w hether selectio n should be done a t the d ep a rtm e n ta l level, how ever. M ay- hew and Jenson both feel th at selection should be done a t th is level. They feel th at the objectives and p o licies of each d ep artm en t a re sufficiently d iffe ren t a s to m ake se le c tio n s outside the d ep a rtm e n t ineffective. 33 The work of B ottenburg and C h ris ta l a ls o tends to support selectio n a t the d e p a rtm e n ta l level. T h eir stu d ies of rating c h a ra c te ris tic s showed that any grouping of ra tin g s tended to reduce p red ictiv e efficiency. They did, how ever, m ake a stron g c a se for combining ra tin g s in the m o st efficien t m an n er p o ssib le so as to keep prediction lo se s within to le ra b le lim its . 34 H ills, in h is su rv e y of prediction re s e a rc h , noted, how ever, that m ultiple R v ery little differen ce between s im ila r d ep a rtm e n ts. 2 r e s u lts show The only s i g ­ nificant d iffe ren c es o ccu r between w idely d iffe ren t d ep a rtm e n ts such as physics and education. 35 Irvine re p o rts , also , th at the U n iv ersity 24 of G eorgia u se s a m u ltip le p red ictio n equation to p re d ic t th e ir a p p lic a n t's likelihood of su c c e ss a t the un d erg rad u ate level. sam e equation is applied fo r the whole u n iv ersity . The However, a h igh er sc o re is so m etim es n e c e s s a ry to be adm itted to som e d e p a rtm e n ts. M ethods of se lec tio n v a ry widely. 36 One type of selectio n which is becom ing m o re recognized is the p re se le c tio n which tak es place when the student decid es to apply to a given in stitu tio n . G rop per and F itzp a tric k r e p o rt th a t the a c tu a l decision to go to g rad u ate school usually o cc u rs in the th ird o r fourth y e a r of college. 37 B e re lso n found th at only 35 p e rc e n t of the students applying fo r the D octorate degree had m ade the decision by the end of college. T his is c o n ­ tra s te d with the field of m edicine w here a lm o st half of the m ed ical students m ade the decisio n before college. 38 Davis noted th at a definite geographic selectio n is m ade by the student. He found th at 70 p e rc e n t of the stu den ts in h is sam ple went to grad uate school within a four hour d riv e of th e ir hom e. 39 B e re lso n re p o rts , also , th at m o st stud ents apply to m o re than one school. His su rv ey of grad u ate applications fo r the acad em ic y e a r 1958-59 showed that 74.000 students applied to the schools in h is sam p le. Of th ese, 51.000 w ere accepted and 39,000 new students actu ally showed up. O r a s B e re lso n s ta te s : showed up som ew here. " "About o n e-h alf of the app lications anyw here, 40 Since m o st stud ents apply to m o re than 25 one school, th is lead s to the conclusion th a t everyone g e ts in som ew here. Selection p ro c e d u re s a t the individual in stitu tio n s v a ry from open door p o licies to app licatio n of com plex s ta tis tic a l p r e d ic ­ tion form ulas with asso c ia ted cutting s c o re s . The b asic re q u ire m e n t a t any in stitu tio n is a Bachelor* s deg ree with a good acad em ic rec o rd . The v ario u s d e p a rtm e n ts add re q u ire m e n ts to th is . One of the m o re popular re q u ire m e n ts is the G raduate R e co rd s E x am in a­ tion or the M ille r A nalogies test. How ever, B e re lso n se e m s to su m m arize the conclusions of m any a u th o rs with re g a rd to te s ts in h is statem ent: Im proving the se lec tio n d ev ices is a t b e st doubtful. At one tim e, high hopes w ere held fo r the G raduate R ecord E x am in a­ tion, but now the consensus is , I think, th at i t i s useful only for the candidate from the unknown college, and then only m arg in ally so. K urland se e s the n o rm al se le c tiv e a d m issio n s p ro c e s s a s sta rtin g out a s a logical sy stem and p ro g re ssin g to an ir re le v a n t system . He fee ls th at m o st schools o r d e p a rtm e n ts s t a r t with reaso nable re q u ire m e n ts which a r e re la te d to acad em ic su c c e ss . Then, a s the num ber of ap p lican ts in c r e a s e s , the re a c tio n of the d ep artm en t is to keep the sam e m e a s u re s and only r a is e the m inim um sc o re s. In th is way, according to K urland, re q u ire m e n ts a r e ra is e d up until they no longer b e a r any re la tio n sh ip to acad em ic su c c e ss . 42 26 M eder a lso fe e ls th at ad m issio n s sy ste m s g en erally s t a r t out with reaso n ab le re q u ire m e n ts and becom e ir re le v a n t in tim e. He w rite s: A re q u ire m e n t o rig in ally im posed b ecause of its relev an ce to college cu rricu lu m , having lo s t i ts relev an ce, has been c o n ­ tinued, p erh ap s in a m odified form , p a rtly a s a m a tte r of v ested rig h t enjoyed by som e college d ep artm en t, p a rtly for re a so n s of trad itio n , p a rtly for re a so n s of em otion, a ll ju stified by a p p r o ­ p ria te r a t i o n a l i z a ti o n s .^ C h rista l, in h is work quantifying the values underlying ra tin g s, noted that one of the p ro b lem s in se lec tiv e a d m issio n s is th at we a r e not capable of weighing the data provided by s e v e ra l v a ria b le s without the help of a com puter. 44 Yet, v ery few ad m issio n s sy ste m s a r e based on a c o m p u ter-g e n erate d com posite of the a p p lic a n t's re c o rd . The scope of the selectio n sy stem is a topic th at is receiving some attention esp ec ially by advocates of com puter m anaged a d m is ­ sion sy ste m s. The tra d itio n a l ap proach is fo r the ad m issio n s com m ittee to sc re e n the ap p lican ts and tu rn the accepted students over to the faculty fo r the p re s c rip tio n of a p ro g ram . Walton s u g ­ g e s ts, how ever, that with the ab ility of the com puter to p ro c e s s and su m m arize la rg e am ounts of data about an applicant, ed u cato rs should s t a r t to co n sid er m erg in g the ad m issio n and acad em ic advising functions into a continuous p ro c e s s . 45 E ric R odgers a g re e s with Walton in h is sta te m e n t th at the ad m issio n s p ro c e s s i s not th at 27 im p o rtan t as long a s i t does not g u aran tee a d eg re e. is an advocate of a continuous selection p ro c e ss . Thus, R odgers 46 The p rim a ry goal of a se le c tiv e a d m issio n s p ro g ram is to control the num ber of stud ents adm itted to g rad u ate p ro g ra m s. How­ ev er, se lec tiv e ad m issio n s can produce som e im p o rtan t side effects. One side effect th at h as been noted by H ills is that the student popu­ lation becom es m o re uniform when selectiv e ad m issio n s p ro c e d u re s a re im posed. to go up. The population av erag e of the se lec tio n m e a s u re s tends A ccording to H ills, the in c re a se d population a v e ra g e affe cts grading p ra c tic e s in a school. grade tends to go up. 47 The m inim um stan d ard fo r a given D uration of the g rad u ate p ro g ram and a ttritio n r a te s a lso seem to be affected. G oodrich re p o rts that, in an open door a d m issio n s situ atio n, b o rd erlin e stud ents a r e often adm itted and often succeed sim ply b ecau se they a r e p e rs is te n t. is , they stay in school u ntil they w ear down th e ir p ro fe s s o rs . That 48 B erelso n re p o rts th at we can g et an idea of the effects of selectio n on the a ttritio n ra te by com paring the g rad u ate schools with the m edical schools. fully. The m ed ical schools s c re e n app lican ts v e ry c a re - T his r e s u lts in ap proxim ately 10 p e rc e n t a ttritio n . The grad u ate schools, on the o th e r hand, have a m uch e a s ie r screen in g p ro c e ss, and an a ttritio n ra te of about 40 p erc en t. 49 28 P red ictio n Studies R elated to Selective A dm iasions Many au th o rs have gone beyond th e o re tic a l co n sid eratio n s about se lec tiv e ad m issio n s and have attem pted to re la te p re a d m issio n s data to actu al p erfo rm an ce in g rad u a te school. T h e ir stu d ies can be categorized u nder the broad heading of p red ictio n stu d ies. The au th o rs of th ese stud ies use a wide v a rie ty of m e a s u re s of both p e r ­ form ance and p red ictiv e data. T h e re fo re , i t se e m s usefu l to co n sid er th e ir m e a s u re s se p a ra te ly . The rele v an t stu d ies w ill be su m m arize d by m e a s u re s of p erform an ce f irs t. The stu d ies w ill then be su m m arize d by p r e ­ dictive m e a s u re s . R esu lts w ill be su m m arize d with the sectio n on p red ictiv e m e a s u re s . M easu res of P erfo rm a n ce In pred iction stu d ies re la tin g to g rad u a te education the m e a su re of p erfo rm an ce is alw ays designed to define su c c e s s in g raduate study. The m o st common m e a su re of p erfo rm an c e is the g rad e point av erag e. Depending on the p urpose of the study, grad e point can be m ea su red a t v a rio u s points in the p ro g ra m o r calculated on only a portion of the to tal work com pleted. Newman c o rre la te d the g rad e point av erag e fo r 66 psychology stu den ts who had 9 or m o re c re d it h o u rs with the G raduate R eco rd s E xam ination. 50 P latz 29 used the f i r s t s e m e s te r g rad e point a v e ra g e a s a c r ite r ia to c o rre la te with u n d erg rad u ate grad e point a v e ra g e and M ille r Analogy T est s c o re s . 51 Jen so n used the g rad e point av erag e of the c o u rse s taken in the stu d en t1 s m a jo r a s the c r ite r ia for a m ultiple c o rre la tio n with un derg rad u ate g ra d e point av e rag e and M iller Analogy T est s c o re s . 52 Borg used g rad e point a v e rag e a fte r 15 c re d it h o u rs in a c o rre la tio n a l study of the G raduate R eco rd s E xam ination. 53 C areton, Eckhoff, H e rb e rt, Owens, Payne, and S trie k e r a ll used o v e ra ll g rad e point av erag e a t graduation in c o rre la tio n a l stu d ies with v ario u s p re d ic to r v a ria b le s. 54 Payne brought out the point in his study th at the g rad e point av erag e should not be re g a rd e d a s ra tio data. T h erefo re , the m edian g rad e point should be used in place of the m o re commonly used m ean g rad e point. T his could be quite a sig n ifican t point since a ll stu d ies concerned with g ra d e s use the m ean g rad e point. How­ e v e r, Payne found that the m ean g rad e point and the m edian g rad e point c o rre la te d . 98. Thus, he concluded th at i t i s acceptable to u se the sim p le r m ean g rad e point. 55 A nother m e a su re of p erfo rm an ce is the a s s e s s m e n t o r the rating of the ad m issio n s com m ittee. T his type of a m e a su re is sim ply a sta te m e n t of c u rre n t ad m issio n s policy, a s the p ro sp ectiv e student h as not enrolled fo r any c o u rs e s a t the tim e of the m e a su re . M ehrabian used a m ultiple re g re s s io n equation of s e v e ra l p rea d m issio n 30 v a ria b le s to p re d ic t the ratin g of an interv iew com m ittee. 56 Houston used a re g re s s io n technique developed by B ottenburg and C h ris ta l to group the r a t e r s into s im ila r policy g ro u p s. 57 W h erry s used a p r o ­ file of fa c to rs a n a ly sis to acco m p lish a grouping of r a t e r s in his study. 58 A few au th o rs have used faculty ra tin g s of grad u ate students as a p erfo rm an c e m e a s u re . This type of a m e a su re is a sta te m e n t of academ ic policy, a s the student has now taken c o u rse s and engaged in o th er a c tiv itie s around the school which a r e c h a r a c te r is tic of graduate stu d en ts. R oscoe p re se n te d g rad u a te a d v is o rs with a lis t of re c e n t g ra d u a te s and asked the a d v is o rs to pick the top ten g rad u a tes. 59 P la tz c o rre la te d p re a d m issio n data with faculty ratin g s of f ir s t s e m e s te r d o c to ra l stu den ts. 60 C areton, in his study of the pred ictiv e efficiency of the M ille r A nalogies T est, c o rre la te d te s t s c o re s with faculty ra tin g s of f i r s t s e m e s te r d o cto ra l students. 61 Some a tte m p ts have been m ade to deal with the graduation no graduation question. W right re la te d s e v e ra l b io graphical and academ ic v a ria b le s to g raduation in a ten y e a r longitudinal study. 62 Roscoe and Houston studied a sam ple of d o cto ra l students who graduated from th e ir p ro g ram v e rs u s a sam p le who w ere d ism isse d from the p ro g ra m . 63 Irv in e used a m ultiple re g re s s io n technique to p re d ic t graduation fo r u n d erg ra d u ates on the b a s is of s e v e ra l academ ic and t e s t m e a s u re s . 31 O ther stu d ies of p erfo rm an ce m e a s u re s include the w ork of S trie k e r and Huber, who studied the rela tio n sh ip of te s t s c o r e s to the num ber of m onths between the end of co u rse work and the o ra l exam inations for d o cto ral students, and the study of Spaeth, who related s e v e ra l v a ria b le s to the quality of grad u ate school attended. 65 M ehrabian studied the re la tio n of th re e m e a s u r e s of p e r ­ form ance to p re a d m issio n data by combining the m e a s u re s into one o v era ll index found by adding the Z -sc o re of the th re e m e a s u re s . 66 P re d ictiv e M easu res P re d ic tiv e m e a s u re s re la tin g to g rad u ate education a r e g en erally e ith e r m e a s u re s of p rio r p erfo rm an ce o r b iograp hical data. B iographical data includes such ite m s as age, sex, m a r ita l sta tu s, num ber of dependents, o r o th er data which d e s c rib e s the p erso n al a ttrib u te s of the applicant. M e a su re s of p r io r p erfo rm an c e include g rad e point a v e ra g e s for p r io r w ork, te s t s c o r e s , ra tin g s, o r other v a ria b le s which d e sc rib e the app lican t re la tiv e to som e stan dard of p erfo rm an ce. G rade point a v e ra g e s from p r io r work a r e included in a lm o st a ll p rediction stu d ies in g rad u ate education. T h e re fo re , i t se em s useful to su m m a riz e th ese stu d ies by the o th e r v a ria b le s studied. T e st s c o re s from v ario u s types of stan d ard ized te s ts a r e often used as p red ictiv e m e a s u re s . The G raduate R eco rd s 32 Exam ination and the M ille r A nalogies T e st a r e two of the m o re popular te s ts used. T hese te s ts a r e u sually used in com bination with o th er m e a s u re s in a m u ltip le c o rre la tio n equation. The hig h est c o rre la tio n between the M ille r A nalogies T e st and g rad e point w as found by C areton in h is study of 38 g rad u a te students in psychology in 1949. He found th at the M ille r A nalogies T e s t c o rre la te d . 68 with f ir s t s e m e s te r g ra d e point av e rag e . 67 T his study has been rep o rted consistently as the hig h est c o rre la tio n found in the rev iew s of the lite ra tu re of o th er au th o rs who a r e studying the p re d ic tiv e power of standard ized te s ts . considerably low er. M ost c o rre la tio n s involving te s t s c o re s a r e Payne found a c o rre la tio n of .26 between the M iller A nalogies T e st and g rad e point a v e ra g e for 219 stud ents who com pleted a M aster* s d e g re e in education. R 2 68 Jen son found a m ultip le of . 489 using the u n d erg rad u ate g ra d e point a v e ra g e and the M iller A nalogies T e st to p re d ic t g rad u ate g rad e point av erag e. Jenson also used s c o re s from the Iowa M athem atical Aptitude T e st in his study, but was unable to e s ta b lis h a significant rela tio n sh ip between th ese s c o re s and the g rad u ate g ra d e point. 69 Eckhoff, in h e r study of Master* s d e g re e stu d en ts in education, found a m ultip le R 2 of , 51 using u n d erg rad u ate g ra d e point av e rag e , the M ille r Analogies T est, and the G raduate R eco rd s E xam ination. 70 M ehrabian and P la tz used the M ille r A nalogies T e st s c o r e s to p re d ic t faculty 33 ratin g s. They both found the MAT to be significantly re la te d to the faculty ra tin g s. 71 Studies involving the G raduate R eco rd s E xam ination seem to produce c o rre la tio n s of ap prox im ately the sam e m agnitude a s the M iller A nalogies T est. Borg, in h is study of grad u ate students in education a t Utah State, found th at the GRE v e rb a l s c o re c o rre la te d . 36 with g rad u ate g ra d e point av e rag e . c o rre la te d . 37 with GPA. The GRE quantitative sc o re 72 N e ith e r of th ese was significant. Newman found th at the GRE v e rb a l and the quantitative s c o re s c o rre la te d . 21 and . 18 re sp e c tiv e ly with g rad u ate GPA fo r his sam ple of 66 grad u ate students in psychology. 73 R oscoe, S trie k e r, and Houston each used GRE s c o re s in m ultiple c o rre la tio n s stu d ies. T h eir re s u lts con cu rred with the re s u lts of Jenson and Eckhoff in finding that the un derg rad u ate grade point accounted for the m a jo rity of the v aria n ce in the m ultiple c o rre la tio n equation. H e rb e rt, in h is study of education g rad u ate students a t Duquesne, used s c o re s from the N ational T e a c h e rs Exam ination in a m ultiple c o rre la tio n study to p re d ic t g rad uate g rad e point. How­ ev er, he found th at the only significant c o rre la tio n (.57) w as between the u n d ergradu ate g rad e point and the g rad u ate g ra d e point. 75 Owens used the u n d erg rad u ate g ra d e point, a s c o re on the W atson G a se r C ritic a l Thinking T e st, graduation from a p riv ate o r 34 public un derg rad u ate school, and w hether the su b ject was an Ohio State g rad u ate o r not to p re d ic t g rad u ate g rad e point a v e rag e for education stud ents. He re p o rte d a m ultiple R significant a t the . 01 level. 2 o r .524, which was 76 R atings of the quality of the un d erg rad u ate school o r d e p a r t­ m ent have also been used a s p red ictiv e m e a s u re s . M ehrabian, Owens, and Spaeth used ra tin g s of the u n d ergraduate school developed from a selectiv ity index published in a docum ent which surveyed u n dergrad uate schools. 77 H e rb e rt used se v e ra l m e a s u re s including y e a rs of teaching experience, u n derg raduate m ajo r, u n d ergradu ate student teaching grade and y e a r graduated with B. A. in a m ultiple c o rre la tio n study. 78 Age, sex, and m a rita l statu s a r e the m o st common b io ­ graphical data used in p red ictiv e studies. Spaeth used father* s education and fam ily incom e, in addition to age and sex. 79 W right, in his 10 y e a r longitudinal study, found age to be an in v e rse in d ic ato r of su c c e ss. 80 M ehrabian found sex to be an insignficant in d icato r in h is study of graduate stud ents a t UCLA. 81 Summary While th e re is consid erable d ifferen ce in the lite ra tu re as to what im portan ce should be attached to the M aster* s d eg re e, i t is 35 evident that la rg e n um b ers of people have earned and w ill continue to e a rn the M a s t e r 's d eg ree. This is p a rtic u la rly tru e of education, w here o n e-h alf of a ll M aster* s d e g re e s a r e aw arded. E a rly educational sy ste m s only provided education for the children of nobility. v ery selectiv e. Even the e a rly system in the United S tates was However, c u rre n t th eo ry holds that ev e ry man is entitled to the m axim um am ount of education he can profitably u se. Our sy stem of h ig h er education has responded to th is p r e s s u r e by establishing Ju n io r C olleges, branch cam puses, and off-cam pus grad uate c e n te rs in addition to expanding the fa c ilitie s a t the m ain cam puses. This h as allowed m o re people to com plete underg raduate work and s t a r t gradu ate work. In addition, th e re is a national trend toward continuing into g rad u ate w ork im m ed iately following the u n d e r ­ graduate work. These two fa c to rs have brought about a la rg e in c re a s e in demand fo r g rad uate education. This in c re a sin g dem and, in tu rn , has brought about p r e s ­ su re for se lec tiv e ad m issio n s from the a d m in is tra to rs and faculty of graduate schools who find th e ir available re s o u rc e s depleted. yet, th e re is no stan d ard method fo r selectio n . As V ery little is known about the a c c u ra c y o r the long range effects of selection. P re d ictio n stu d ies a r e often used to a tte m p t to in c re a s e the accu racy and a s s e s s the effects of se le c tiv e a d m issio n s p ro g ra m s. 36 The o v erall g rad u a te g rad e point is by fa r the m o st popular c rite rio n in predictio n stu d ies. How ever, faculty ra tin g s, p e e r ra tin g s, d u r a ­ tion, and g raduation o r no graduation have been used a s c r ite r ia . The m o st popular p red ictiv e v a ria b le s have been u n d erg rad u ate g rad e point av e rag e s and stan d ard ized te s t s c o r e s . H ow ever, sex, m a rita l sta tu s, age, quality of the u n d erg rad u ate school, u n d erg rad u ate m a jo r, and o th er v a ria b le s have also been used. FOOTNOTES 1 B ern ard B erelso n , G raduate E ducation in the United States (New York: M cG raw -H ill Book Company, I960), p. 185. 2Ibid. 3Ibid. 4 John L. Snell, "The M a s t e r 's D egree, " in G raduate E d u ­ cation Today, ed. by E v e re tt W a lte rs (W ashington, D .C .: A m erican Council on Education, 1965), p. 74. 5 B erelso n , op. c it. , p. 186. Snell, op. c it. , p. 80. 7 C h a rle s M. G rigg, G raduate Education (New York: The C enter fo r Applied R e se a rc h in Education, Inc. , 1965), p. 57. O Snell, op. c it. , p. 80. 9 J oh n S. B r u b a c h e r , B a s e s f o r P o l i c y in H ig h e r E d u c a ­ tio n (N ew Y ork : M c G r a w - H i l l B o o k C o m p a n y , 1965)7 p 3^ 10Ibid. , p. 4. n ibid. , p. 5. 12 T. R. McConnell, A G en eral P a tte rn for A m erican P ublic H igher Education (New York: M cG raw -H ill Book Company, 1962), p. 15. 13 H igher Education in a Decade of D ecision (W ashington, D .C . : N ational E ducation A ssociatio n, E ducational P o lic ie s C o m ­ m issio n , 1959), p. 21. 37 38 14 Algo D. H enderson, P o lic ie s and P r a c tic e s in H igher Education (New York: H a rp e r and B ro th e rs, P u b lis h e rs , 1960), p. 49. 15 10 B ru b ach er, op. cit. , p. 8 . H igher Education in a Decade of D ecision, op. c i t ., p. 33. 17 B ru b ach er, op. c i t . , p. 13. 18 Snell, op. c i t . , p. 1 0 0 . 19 Reid F. H arle and John T. Thompson, "L eg a l and P o li t i ­ cal Im plications of P o lic ie s Governing A d m issio ns to P ublicly Sup­ ported In stitu tio n s, " College and U n iv ersity , XLHI, No. 3 (Spring 1968), 274-285. 20 C atherine R. Rich and Thom as G a rre tt, eds. , Philosophy and P ro b le m s of College A dm issions (W ashington, D. C. : C atholic U niversity of A m erica P r e s s , 1963), p. 4. 21 Edwin A. B room e, A H isto ric a l and C ritic a l D iscussio n of College A dm ission R eq u irem en ts (New York: Colom bia U n iv ersity P r e s s , 1903), p. IT! 22 J . W. H illgarth, "G raduate A dm issions - -Havoc into C h a o s," College and U niv ersity , XLII, No. 4 (Sum m er 1967), 498504. 23 Snell, op. c it. , p. 76. 24 Byron L G roesbeck, "G raduate A d m ission s - -A re We P re p a re d fo r the Y e ars A h ead ?" C ollege and U n iversity, XLII, No. 4 (Slimm er 1967), 504-510. 25 Ja m e s A. D avis, G re a t A sp ira tio n s (Chicago: Aldine Publishing Company, 1964), p. 43. 2 6Ibid. , p. 81. 27 28 G rigg, op. c i t . , p. 8 8 . D a v i s , o p . c i t . , p. 4 9 . 39 29 McConnell, op. c i t . , p. 10. 30 G eorge H. H uganir, "The A p p raisal and Retention of the P a r t Tim e Student, " P ro c ee d in g s of the Fifth Annual M eeting of the Council of G raduate Schools in die U. S. (W ashington, D. C. : Council of G raduate Schools, 1965). 31 32 G rigg, op. c i t . , p. 27. B erelso n , op. cit. , p. 121. 33 Ralph E. Jenso n, "P re d ic tin g Scholastic A chievem ent of F i r s t Y ear G raduate Students, " E ducational and P sychological M easu rem ent, XIII, No. 2 (Sum m er 1953), 322-329; and Lewis B. Mayhew, "N ontest P re d ic to rs of A cadem ic A chievem ent, " Educa tional and P sy cholog ical M easu rem ent, XXV, No. 1 (Spring 1965), 39-46. 34 R o b ert A. B ottenburg and Raymond E. C h rista l, "G ro u p ­ ing C r ite r ia - - A Method Which R etains M aximum P re d ic tiv e E fficiency, " Jo u rn a l of E x p erim en tal Education, XXXVI, No. 4 (Sum m er 1968), 28-34. 35 John R. H ills, M arilyn B. Gladney, and Josep h A. Klock, "Nine C ritic a l Q uestions About Selective College A dm issions, " The P erso n n e l and Guidance Jo u rn a l, XLV, No. 7 (M arch 1967), 640647. 36 Donald W. Irv in e, "M ultiple P re d ic tio n of College G ra d u a ­ tion from P re a d m issio n D ata, " Jo u rn a l of E x p erim en tal Education, XXXV, No. 1 (F a ll 1966), 84-89. 37 G eorge L. G ropper and R o b ert F itz p a tric k , Who G oes to G raduate School? (P ittsb u rg h , P a. : A m erican In stitu te for R e se a rc h , 1959), p. 13. 38 39 40 B erelso n, op. c i t . , p. 144. D avis, op. c i t . , p. 81. B e r e l s o n , o p . c i t . , p. 144. 4 1 Ibid, , p. 145. 40 42 N orm an D. K urland, "M ore People Than P la c e s o r How to E n su re Equal O pportunity Among E quals When T h ere A re M ore E quals Than O pportun ities, MCollege and U n iv e rsity , XLIII, No. 2 (W inter 1968), 221-224. 43 A lb e rt E. M eder, "A dm issions and the College, " College A dm issions (P rin ceton : College E n tran ce Exam ination Board] 1963), p. 42. 44 Raymond E. C h rista l, "JAN: A Technique for Analyzing Group Judgm ent, " The Jo u rn a l of E x p erim en tal Education, XXXVI, No. 4 (Sum m er 1968), 24-27. 45W esley W. W alton, "P o te n tia litie s of the C om puter fo r M easurem en t and P re d ictio n with R esp ect to College A dm issions P ro c e s s e s , " E ducational and P sychological M e a su re m e n t, XXV, No. 1 (Spring 1965), 47-53. 46 E r ic R odg ers, "A dm ission of the D om estic G raduate Student, " P ro c ee d in g s of the Fifth Annual Meeting of the Council of G raduate Schools in the U .S . ^Washington, D .C .: Council of G radu ate Schools, 1965), pp. 17-19. 47 H ills, Gladney, and Klock, op. c it. , pp. 640-647. 48 Max G oodrich, "The A p p ra isal and R etention of G raduate Students, " P ro c ee d in g s of the Fifth Annual Meeting of the Council of G raduate Schools in the U .S . (W ashington, D .C . : Council of G ra d u ­ ate Schools, 1965), pp. 33-37. 49 B erelso n , op. c it. , p. 168. 50 R ichard I. Newman, "GRE S co res a s P re d ic to rs for Psychology G raduate Students, " E ducational and P sychological M easurem ent, XXVIII, No. 2 (Sum m er 1968), 433-436. 51 A rth u r P latz and C h a rle s M cClintoch, "U ndergraduate G rades and the M ille r A nalogies T e s t a s P re d ic to rs of G raduate S u c c e ss," The A m erican P sy ch o lo g ist, XIV, No. 5 (May 1959), 285-289. 52 Ralph E. Jenson, "P re d ic tin g S cholastic A chievem ent of the F ir s t Y ear G raduate Student, " E ducational and P sychological M easurem ent, XIII, No. 2 (Sum m er 1953), 322-329. 41 53 W alter R. B org, "GRE A ptitude S co res a s a P re d ic to r of GPA fo r G raduate Students in Education, ME ducational and P s y c h o ­ logical M easu rem en t, XXIII, No. 2 (Sum m er 1963), 379-382. 54 Edw ard E. C areto n and L ouise C areton, '’P re d ic tio n of Success in G raduate Study of Psychology a t U n iv ersity of T en n essee, " A m erican P sy ch o lo g ist, IV, No. 8 (August 1949), 361-362; C onstance M. Eckhoff, "P re d ic tin g G raduate S uccess a t Winona State C ollege, " E ducational and P sychological M easurem ent, XXVI, No. 2 (Sum m er 1966), 483-485; David J . H e rb e rt, "A P re d ic tiv e Study of Q uality P o in t A v e rag e s in G raduate Education C o u rse s, " The Jo u rn a l of E d u ­ cational R e se a rc h , LX, No. 5 (Jan u ary 1967), 218-220; Thom as R. Owens, "P re d ic tin g A cadem ic S uccess in M aster* s D egree P ro g ra m s in E ducation, " The Jo u rn a l of E ducational R e se a rc h , LX, No. 10 (July-A ugust 1967), 124-126; David A. Payne and Cynthia E. T uttle, "The P re d ic tiv e R elationship of the M ille r A nalogies T e s t to the O bjective-S ubjective C r ite r ia of S uccess in a G radu ate School of E d u ­ cation, " E ducational and P sy cholo gical M easu rem en t, XXVIII, No. 2 (Sum m er 1968), 427-430; G eorge S trie k e r and J . T. H uber, "The GRE and U ndergrad uate G ra d es a s P re d ic to r s of S uccess in G raduate S chool," The J o u rn a l of E ducational R e s e a rc h , LX, No. 10 (Ju ly August 1967), 466-468. 55 Payne and T uttle, op. c i t . , pp. 427-430. 56 A lb e rt M ehrabian, "U ndergraduate A bility F a c to rs in R elation to G raduate P e rfo rm a n c e , " E ducational and P sycho lo gical M e a su re m e n t, XXIX, No. 2 (Sum m er 1969), 409-419. 57 Sam uel R. Houston, "G enerating a P ro je c te d C rite rio n of G raduate School S uccess Via N orm ative Judgm ent A n alysis, " The Jo u rn a l of E x p erim en tal E ducation, XXXVII, No. 2 (W inter 1968), 64-69. 58 R o b ert J . W h e rry s and J a m e s C. N aylor, "C om parison of Two A pproaches - -JAN and P R O F --fo r C apturing R a te r S tra te g ie s ," E ducational and P sycho logical M easu rem en t, XXVI, No. 2 (Sum m er 1966), 267-268. 59 John T. R oscoe and Sam uel R. Houston, "The P re d ic tiv e V alidity of GRE S cores fo r a D o cto ral P ro g ra m in E ducation, " E ducational and P sycho logical M easu rem en t, XXIX, No. 2 (Sum m er 1969), 507 -509. 42 an 61 P la tz and M cClintoch, op. c it. , pp. 285-289. C areton and C areton, op. c it. , pp. 361-362. 62 C h a rle s R. W right, "S uccess o r F a ilu re in E arning G raduate D eg rees, " Sociology of E ducation, XXXVIII, No. 1 (F a ll 1964), 73-97. 63 64 R oscoe and Houston, op. c i t . , pp. 507 -509. Irv in e, op. c it. , pp. 84-89. 65 S trie k e r and H uber, op. c i t ., pp. 466-468; Jo e L. Spaeth, "The A llocation of College G raduates to G raduate and P ro fe ssio n a l Schools, " Sociology of Education, XLI, No. 4 (F a ll 1968), 342-349. 66 M ehrabian, op. c it. , pp. 409-419. 6V C areton and C areton, op. c it. , pp. 361-362. 68 Payne and T uttle, op. c it. , pp. 427 -430. 69 70 Jen so n , op. c it. , pp. 322-329. Eckhoff, op. c i t . , pp. 483-485. 71 M ehrabian, op. c it. , pp. 409-419; P la tz and M cClintoch, op. c it. , pp. 285-289. 72 73 Borg, op. c it. , pp. 379-382. Newman, op. c i t . , pp. 433 -436. 74 R oscoe and Houston, op. c it. , pp. 507 -509; S trie k e r and Huber, op. c it. , pp. 466-468; Houston, op. c it. , pp. 64-69. 75 76 77 78 H e rb e rt, op. c i t . , pp. 218-220. Owens, op. c it. , pp. 124-126. M ehrabian, op. c it. , pp. 409-419. H e r b e r t , op. c i t . , pp. 2 1 8 -2 2 0 . 7 9 S p aeth . op. c i t . ■ PP- 3 4 2 -3 4 9 . 80W r ig h t. OP- cit_- ■ p p ' 7 3 "7 9 ’ 8 1 M eh ra b ia n . QP- c i t . . PP- 4 0 9 -4 1 9 . C H A P T E R HI GENERAL DESIGN AND METHODOLOGY The design of the study is p re se n te d in th re e g e n e ra l sectio n s: ( 1) the sam p le, (2 ) n atu re and so u rc e s of data, and (3) a n a ly sis p ro c e d u re s. The Sample The population from which the sam p le was se lec te d c o n ­ siste d of stud ents adm itted into the g rad u ate p ro g ram a t the M a s t e r 's level who fit in one of five c a te g o rie s during the w inter, spring, su m m er, and fall te rm s of 1969. The five c a te g o rie s w ere: (1) students who graduated with a M aster* s d eg re e, (2) stud ents who graduated with a M aster* s d eg re e, and went im m ediately to a d o cto ral p ro g ram a t M ichigan State, (3) stud ents who w ere su b ject to academ ic action, (4) stu dents who w ere req u e sted to leave the p ro g ram , (5) students who had not en ro lled for five y e a rs . The sam ple of students who g rad u ated with a M aster* s d egree w as selected by g ath erin g the n am es of g ra d u a te s from the final d eg re e c e rtific a tio n lis ts published by the re g istra r* s office 44 45 for w in ter, sp rin g , su m m er, and fall te rm s 1969. T hese sam e lis ts w ere then com pared to the file of c u r r e n t d o cto ra l stu den ts to s e le c t the sam ple of stud en ts who continued into the d o c to ra l p ro g ram in the C ollege of Education a t M ichigan State U n iversity . The sam ple of stu d en ts su b ject to academ ic actio n was selected from the lis ts of students rem oved from re g u la r sta tu s to p ro v isio n al sta tu s o r from p ro v isio n al sta tu s to nondegree sta tu s. T hese lis ts a r e published by the G raduate Student A ffa irs Office in the College of Education. this office. A cadem ic action is u n d er the co n tro l of A student is su b ject to academ ic action when h is to tal grade point a v e rag e fa lls below a 3. 0 fo r re g u la r and p ro v isio n al students o r below 2 .0 for nondegree students. Specific actio n taken is also governed by the num ber of c re d its a studen t h as accum ulated. The sam ple of students who w ere asked to leave the p ro g ram consisted of the total population of stud ents d ism isse d from the graduate p ro g ram a s of fa ll te rm 1969. Students a r e g e n e ra lly d i s ­ m issed a s a r e s u lt of not m eeting the p ro v isio n s of p rio r academ ic action. However, som e students a r e in th is category b ecause of cheating o r poor re la tio n s with the U n iv ersity. The sam ple of stu d en ts who have not been en ro lled fo r five y e a rs w as selected by se a rc h in g the g rad u a te student re c o rd file s on the College of Education IBM 1130 com puter. A FORTRAN 46 p ro g ram which p rin ted a lis t of a ll M aster* s students who had not en ro lled fo r a t le a s t 20 te rm s p rio r to fall 1969 was used fo r th is purpose. Since a ll c re d its used fo r a M aster* s d eg re e m u st be taken within five y e a rs p r io r to the te rm of graduation, this sam ple r e p r e ­ sen ts those stud ents who w ere in good standing a t the tim e of la s t en ro llm en t, but a r e not elig ib le to count any of th e ir work for a M aster* s d eg re e a t th is tim e. The to ta l sam ple num bered 358. The num ber in each c a te ­ gory is su m m arize d in Table 3 .1 . TABLE 3. 1 TOTAL SAMPLE DIVIDED BY CATEGORY Num ber in C ategory C ategory 1. Students graduating with a M aster* s d eg re e 199 2. Students graduating with a M aster* s d eg re e and continuing to Ph. D. 16 3. Students subjected to acad em ic action 50 4. Students asked to w ithdraw 19 5. Students not en ro lled fo r 5 y e a rs 90 The sam ple of stud en ts who grad u ated with a M aster* s d e g re e w as exam ined by d ep a rtm e n t fo r one hypo th esis. The num ber of g r a d u ­ a te s in each d ep a rtm e n t is su m m arize d in Table 3 .2 . 47 TABLE 3.2 GRADUATES DIVIDED BY DEPARTMENT D epartm ent Num ber in D epartm ent Nondegree 36 E lem en tary Education 53 Secondary Education 44 H ealth, P h y sical Education, and R ecreatio n 6 A dm in istratio n and H igher Education 24 Counseling, Guidance, P e rso n n e l S e rv ic e s, and E ducational Psychology 36 The N ature and Source of Data The following v a ria b le s w e re rec o rd ed o r computed from the o rig in al application fo r grad u ate study for each su b ject in the study: 1. Age a t tim e of application to grad u ate p ro g ram . 2. M arital sta tu s. 3. Sex. 4. Born in M ichigan o r out of sta te . 5. Legal resid e n ce in M ichigan o r out of sta te . 6. Y e ars a t legal resid e n c e . 48 7. N um ber of colleges attended for B .A . 8. N um ber of y e a rs from s t a r t to finish of B .A , 9. G raduated with B .A . from M ichigan State, o th er Michigan u n iv e rsity , o r out of sta te college. 10. N um ber of y e a rs from end of B .A . to M. A. application. 11. U ndergraduate grade point av erag e. 12. G raduate g rad e point av erag e. 13. G raduate c re d its . 14. A dm ission sta tu s (nondegree, provisional, 15. M ajor d ep artm en t a t tim e of ad m issio n s. o r re g u la r). In addition, the following v a ria b le s w ere reco rd ed o r c o m ­ puted from the grad u ate tr a n s c r ip t for each su b ject in the graduated sam ple: 1. T otal te rm s attended for M a s t e r 's deg ree. 2. T otal te rm s m isse d since f i r s t te rm enrolled. 3. A verage co u rse load. 4. T otal g rad e point av erag e. 5. T otal g rad u ate c re d its. 6. Total c re d its d e fe rre d . 7. T otal d uration of the M aster* s p rogram in te rm s . The purpose of th is study is to explore die relatio n sh ip of p read m issio n v a ria b le s to v ario u s m e a s u re s of p erfo rm an ce. 49 T h erefo re , the independent v a ria b le s w ere se le c te d b ecau se they did not involve any m e a s u re s of p erfo rm an ce a f te r ad m issio n . The dependent v a ria b le s w ere se lec te d because they w ere m e a s u re s of p erfo rm an c e a fte r the com pletion of a p ro g ra m . A nalysis P ro c e d u re s D isc rim in a n t a n a ly sis, m ultiple r e g r e s s io n a n a ly sis, canonical c o rre la tio n , and fa c to r a n a ly sis w ere the b a sic p ro c e d u re s used in the s ta tis tic a l tre a tm e n t of the data. E xtensive screen in g of the data w as n e c e s s a ry p r io r to the ac tu al a n a ly sis p ro c e d u re s. T his w as n e c e s s a ry b ecause the sam ple included students who w ere adm itted a s soon a s one y e a r p r io r to graduation and a s long a s seven y e a r s p r io r to the tim e of the study. R ecord keeping p ra c tic e s have not rem ain ed co n siste n t during th is tim e span. This re su lte d in m any su b jects with incom plete data. The m a jo rity of th ese people w ere elim inated in the data coding operation. A fter the data w ere coded and tr a n s f e r r e d to IBM c a rd s, an IBM 1130 p ro g ram w as w ritten to fu rth e r sc re e n the data. A ll v a ria b le s w ere checked fo r rea so n a b le range and im p o ssib le co n d i­ tions. The e r r o r s w ere flagged and c o rre c te d . four re c o rd s w ere found to contain m issin g data. A fter th is p ro ce d u re, The m issin g data fields in these re c o rd s w ere assig n ed the m ean of the sam ple for that p a rtic u la r v a ria b le . In addition, the sam e IBM 1130 p ro g ram 50 converted the y es o r no a n sw e rs fo r nondegree, p ro v isio n al, o r re g u la r ad m issio n sta tu s into an index of 1 fo r nondegree, 2 for p ro v isio n al, and 3 fo r re g u la r. A y es o r no resp o n se for p r io r g rad u ate ex p erien ce was also c re a te d and the a v e rag e co u rse c o m ­ puted from the total c re d its and the total te rm s attended v a ria b le s. The c o rre la tio n of se v e ra l p re d ic to r v a ria b le s with som e c rite rio n of s u c c e ss i s a common p ro ce d u re. However, Tiedem an points out th at when the c rite rio n is m em b ersh ip in a group, and the m ultiple c o rre la tio n o r m ultiple re g re s s io n technique is used, the in v e stig a to r is forced to co n sid er the grou ps in p a irs . 1 Thus, when it is d e s ire d to p re d ic t group m e m b e rsh ip in one of s e v e ra l g ro u p s, the m ultiple re g re s s io n m odel i s not a p p ro p ria te . The m odel s u g ­ gested by Tiedem an is m ultiple d isc rim in a n t a n a ly sis. A s a re s u lt, m ultiple d isc rim in a n t a n a ly sis w as used to te s t the p o ssib ility of predicting group m em b ersh ip in one of the five sam ple g ro u p s. Since the independent v a ria b le s ap p eared to be m o stly u n c o rre la te d , all of the p rea d m issio n v a ria b le s w ere used in th is a n a ly sis. The an aly sis w as run on the CDC 3600 com puter using the m u ltiv a ria te s ta tis tic a l package which w as p ro g ram m ed by J e re m y Finn. 2 In o rd e r to ex plore the d iffe ren c es in the independent v ari ables between the g raduated g rou ps and the o th er g roup s in the sam ple individually, th re e m ultiple d isc rim in a n t functions w ere 51 calculated. The m u ltiv a ria te s ta tis tic a l package w as also used for 3 these calcu latio n s. The s e r ie s of four m u ltiple d isc rim in a n t a n a ly se s com pleted the testin g of the hypotheses concerning group m em b ersh ip . The g rad uated group w as se lec te d fo r the rem aining s t a t i s t i ­ cal tre a tm e n ts. This was done in o r d e r to exp lo re the rela tio n sh ip of the p re a d m issio n data with s e v e ra l m e a s u re s of p erfo rm an ce in the M a s t e r 's d e g re e p ro g ra m . The IBM 1130 Step-W ise M ultiple R e g re ssio n P ro g ra m was used to form a p redictio n equation re la tin g the independent v a ria b le s with the duratio n of the M a s t e r 's p ro g ra m . 4 The duration was m ea su red in te r m s and w as co n sid ered to be the to ta l of the num ber of te rm s en ro lled and the num ber of te rm s m isse d from the f ir s t te rm en ro lled to the te rm of graduation. D uration a s a m e a su re of p erfo rm an c e is actually a com bination of total te rm s attended, total te r m s m isse d , and av erag e course load. Cooley and Lohnes su g g est that the technique of canonical c o rre la tio n should be used when i t i s n e c e s s a ry to re la te 5 two s e ts of m e a su re m e n ts m ade on the sam e su b je cts. This te c h ­ nique produces the m axim um c o rre la tio n betw een lin e a r functions of two se ts of v a ria b le s . It is , in effect, the c o rre la tio n between two m ultiple re g re s s io n equations. In o r d e r to te s t the rela tio n sh ip 52 between d u ratio n , te rm s attended, te r m s m isse d , a v e ra g e co u rse load, and the independent v a ria b le s , then, a canonical c o rre la tio n was run using the m u ltiv a ria te s ta tis tic a l package on the CDC 3600 com puter. 6 The to ta l g rad u ate g rad e point, total g rad u a te c re d its , and total c re d its d e fe rre d w ere a ls o c o rre la te d with the independent v a ria b le s to provide a m e a s u re of acad em ic p erfo rm an c e. The canonical c o rre la tio n technique w as a lso used fo r th is a n a ly sis. F inally, a fac to r a n a ly sis of a ll of the independent v a ria b le s was run for the graduated sam ple. The purpose was twofold. F ir s t, it w as co n sid ered d e s ira b le to sim plify the p red ic tiv e m e a s u re s . T hat is , a few com posite p red ic tiv e m e a s u re s would be p re fe ra b le to m any seem ingly disconnected m e a s u re s when evaluation of an ap p lican t1 s potential is d e s ire d . Second, i t w as d e s ire d to explore the p ossib le d ifferen ce in en tra n ce c h a r a c te r is tic s among the g r a d u ­ a te candidates by d ep artm en t. In th is way, the p o ssib ility of p r e ­ dicting the m o st a p p ro p ria te d e p a rtm e n t for an ap p lican t could be explored. The fa c to r a n a ly sis p ro g ra m in the IBM 1130 S ta tistic a l System w as used for this purpose. 7 The p ro g ram w as run for the e n tire gradu ated sam ple and fo r each d ep artm en t re p re se n te d in the sam ple. 53 The p ro g ram p erfo rm ed the p rin cip al ax is, orthoginal o r v arim ax , and the oblique o r prom ax ro tatio n s. F a c to rs w ere c o m ­ puted whose c h a ra c te ris tic v e c to rs had asso c ia ted c h a r a c te r is tic ro o ts g r e a te r than o r equal to one. The r e s u lts of the oblique, or prom ax, solution w ere used in the a n a ly sis. This solution was selected because the re s tr ic tio n of independence between fa c to rs is relax ed . T his re s u lts in fa c to rs which a r e e a s ie r to in te r p r e t than the o ther solutions. How ever, the fa c to rs a r e slightly i n te r c o r r e - lated in the oblique solution. A sam ple of M a s t e r 's d e g re e students belonging to one of five c a te g o rie s a s of w in ter, sp rin g , su m m er, o r fall 1969 was drawn. The rela tio n sh ip of se le c te d p rea d m issio n data with p red icted category m em b ersh ip was explored In addition, the rela tio n sh ip of the p rea d m issio n data fo r the sam ple of graduated students with se v e ra l m e a s u re s of p erfo rm an c e w as explored. F inally the c h a r ­ a c te r is tic s of the p rea d m issio n data for the graduated sam ple w ere exam ined by m a jo r d ep artm en t. FOOTNOTES *David V. Tiedem an, "The M ultiple D isc rim in an t Function --A Symposium, " H arv ard E ducational Review, XXI, No. 2 (Spring 1951), 167-181. 2 J e re m y D. Finn, Multi v aria n ce : F o rtra n P ro g ra m fo r U nivariate and Multivariage~~Analysis of V arian ce and C ovariance (Buffalo, N. Y. : The State U n iv ersity of New York a t Buffalo, 1967). 3Ibid. 4 M ason P . R osenthal, 1130 Step-W ise M ultiple R e g re ssio n P ro g ra m (San F ra n c isc o , C alifornia: IBM C orporation, 1966). 5 W illiam W. Cooley and P aul R. Lohnes, M ultiv ariate P ro cedures for the B ehavioral Sciences (New York: John Wiley and Sons, 1962), p. 39. 6 Finn, op. cit. 7 1130 S ta tistic a l SyBtem (White P la in s, New York: IBM C o rp o rati on] 1967). 54 C H A P T E R IV FINDINGS The hypotheses w ere teste d and the data analyzed by computing m ultiple d isc rim in a n t a n a ly sis, m ultiple re g re s s io n an a ly sis, canonical c o rre la tio n s , and fac to r a n a ly sis. The . 05 level of significance w as p re s e le c te d a s the c r ite rio n fo r reje c tin g the null hypothesis w here applicable. Table 4. 1 p re s e n ts the v a r i ­ able d e sc rip tio n s and the corresponding ab b rev iatio n s th a t w ill be used in the tab les in th is chapter. H ypotheses Group M em bership H ypothesis 1. --H y p o th e sis 1 s ta te s th at the p rea d m issio n data is significantly re la te d to m em b ersh ip in the graduated, graduated to d o cto ra l p ro g ra m , not enro lled fo r five y e a rs , academ ic action, o r d ism isse d group. To te s t th is hypothesis, a m ultiple d isc rim in a n t a n a ly sis was computed using the p re a d m issio n data a s the independent v a ria b le s and m em b ersh ip in one of the five groups as the dependent v a ria b le . M ultiple d isc rim in a n t a n a ly sis w as used 55 56 TA BLE 4. 1 VARIABLE ABBREVIATIONS AND DESCRIPTIONS D escrip tio n A bbreviation M-S M a rrie d o r single SEX Sex RES In sta te o r out of sta te re s id e n t YRS-RS Y e ars a t resid e n ce AGE Age a t tim e of application to g rad u ate school BORN Born in s ta te o r out of sta te GRAD G raduated from M. S. U. , o th er M ichigan u n iv er sity , o r out of sta te u n iv e rsity NO-COL N um ber of colleges attended fo r B .A . BA-MA N um ber of y e a rs from end of B .A . to M. A. appli cation BA-BA N um ber of y e a r s from s t a r t of B .A . to end of B .A . U-GPA U ndergraduate g rad e point av erag e G -E X P G raduate e x p e rie n c e --y e s o r no ADM A dm ission sta tu s MAJOR D ep artm en t assig n ed a t the tim e of ad m issio n T -G P A T otal g rad e point a v e rag e fo*. ]V :a s t e r 1 s work T - CRED T otal c re d its C R -D E F T otal c re d its d e fe rre d in g rad u ate work T -A T T T otal te rm s attended T-M ISS T otal te rm s m isse d from ad m issio n to graduation DURAT Total d u ratio n of M a s te r 1 s work in te rm s AVG- LD A verage c o u rse load in M a s te r 1 s work 57 because it n o rm ally lead s to d ra m a tic reduction in the space dim ensionality of the independent v a ria b le w ithout su b stan tia l lo ss of inform ation when the dependent v a ria b le is a categ ory. The r e s u lt of th is a n a ly sis is a s e t of d isc rim in a n t functions which tra n sfo rm a s e t of m e a s u re s fo r an individual into a single s c o re which lo ca te s th at in d iv id u a l's p osition in one of the five g roup s. The m axim um num ber of functions th a t can be com puted i s one le s s than the num ber of groups. The significance of the d isc rim in a n t functions fo r H ypothesis 1 a r e p resen ted in Table 4 .2 . TABLE 4. 2 SIGNIFICANCE OF THE DISCRIMINANT FUNCTIONS FOR A LL GROUPS Function NDF x2 P e rc e n t of V ariation I 56 177.40 54.47 II 39 83. 93 32. 33 X2 > 23. 6 8 , P < .05 As Table 4 . 2 in d ic ates, two of the p o ssib le four functions w ere significant a t le s s than the . 05 level, thus supporting Hypothesis 1. The f i r s t function is the m o st pow erful, accounting for 54. 47 p e rc e n t of the total v a ria n c e . The second function accounts 58 for 32. 33 p e rc e n t of the v a ria n c e . o r independent. The two functions a r e orthogonal, Thus, the com plete evaluation of an in d iv id u a l's p rea d m issio n data is reduced to the co n sid eratio n of two independent fa c to rs . The d isc rim in a n t function coefficients fo r the o rig in al v a ria b le s a r e p resen ted in Table 4. 3. TABLE 4. 3 DISCRIMINANT FUNCTION COEFFICIENTS FOR PREADMISSION DATA FOR ALL GROUPS Raw C oefficient Standardized V ariable I II I II M -S . 431 1. 389 . 208 . 671 SEX . 302 - . 624 . 148 -. 307 RES 687 . 155 -. 259 . 058 YRS-RS 015 - .001 -. 158 -. 016 AGE . 033 . 079 . 270 . 641 BORN . 346 . 158 . 174 . 079 GRAD . 012 . 008 . 010 . 007 NO- COL . 130 . 343 . 116 . 306 BA-MA 015 - .063 -. 094 -. 385 BA-BA . 002 - . 064 . 014 302 U -G PA . 423 -1.472 . 178 -. 619 G -E X P . 038 . 057 . 018 . 028 ADM 948 . 499 -. 711 . 374 MAJOR 261 - . 117 -. 432 -. 195 59 The sta n d ard coefficients have been c o rre c te d for d iffe re n c e s in the stan d ard deviations of the o rig in a l v a ria b le s . As Table 4. 3 in d ic a te s, function I is loaded p r im a rily on m a jo r, age, resid e n ce , and m a r ita l sta tu s . The loadings fo r function I range from .010 fo r college of g rad u atio n to -.711 fo r ad m issio n sta tu s. Function II is com posed p rim a rily of m a r ita l sta tu s, age, u n d e r­ g raduate g rad e point a v e ra g e , y e a r s from end of B .A . to s t a r t of M. A. , ad m issio n sta tu s , n um ber of co lleg es attended fo r B .A . , sex, and num ber of y e a rs from s t a r t to end of B .A . The loadings for function II range from -. 016 fo r y e a r s a t re sid e n c e to .671 for m a rita l sta tu s. H ypothesis 2 . --H y p o th e sis 2 s ta te s th a t the p re a d m issio n data is significantly d iffe re n t fo r the g rad u ated and the not enro lled for 5 y e a rs groups. A m u ltiple d is c rim in a n t a n a ly sis w as p erfo rm ed to te s t th is hypo th esis, using the p re a d m issio n data fo r the g rad uated and the academ ic action g ro u p s. Since only two g ro u p s w ere involved, only one d isc rim in a n t function w as calcu lated . The s i g ­ nificance of the d isc rim in a n t function fo r H ypothesis 2 is p re se n te d in Table 4. 4 As Table 4 .4 in d ic a te s, the d isc rim in a n t function is s i g ­ nificant a t le s s than the . 05 level, thus supporting H ypothesis 2. 60 T A B L E 4. 4 SIGNIFICANCE OF THE DISCRIMINANT FUNCTION FOR GRADUATE AND 5 YEAR NOT ENROLLED GROUPS Function NDF X2 P e rc e n t of V ariation I 14 6 6 . 46 26. 79 X2 > 2 3 .6 8 . P < . 05 The function acco u n ts fo r 26. 79 p e rc e n t of the v a ria n c e in the in d e ­ pendent v a ria b le s . The d is c rim in a n t function coefficients for the o rig in al v a ria b le s a r e p re s e n te d in Table 4. 5 The function i s loaded high on age, u n d erg rad u ate g rad e point a v e ra g e , a d m issio n s ta tu s , and m a jo r a t the tim e of adm issio n. The stan d ard ized co efficien ts ran g e from -. 023 fo r m a r ita l sta tu s to -.752 for a d m issio n s ta tu s . H ypothesis 3. - -H y p o th esis 3 s ta te s th at the p rea d m issio n data is significantly d iffe re n t fo r the graduated and the academ ic action g ro u p s. The g rad u ated and the acad em ic action groups w ere selected out of the to ta l sam p le and a m ultiple d isc rim in a n t function was calculated to t e s t the above h y p o th esis. Again, since only two groups w ere involved, one d is c rim in a n t function w as calculated. The significance of the function i s p re se n te d in Table 4. 6 . 61 TABLE 4. 5 D IS C R IM IN A N T F U N C T IO N C O E F F I C I E N T S F O R P R E A D M IS S IO N D A T A F O R G R A D U A T E A N D 5 Y EA R NOT E N R O L LE D GRO U PS V ariable Raw C oefficient M -S - .048 023 SEX . 311 . 153 RES - .635 236 YRS- RS - .011 -. 113 AGE . 053 . 413 BORN . 086 . 043 GRAD . 232 . 190 NO-COL - . 033 -. 028 BA-M A - .037 -.230 BA -BA - .013 063 U -G PA 1 . 026 . 445 G -E X P - . 105 -. 050 ADM - . 967 752 MAJOR - .251 -.431 Standa rdi z ed 62 TA B LE 4. 6 SIGNIFICANCE OF THE DISCRIMINANT FUNCTION FOR GRADUATE AND ACADEMIC ACTION GROUPS Function NDF X2 P e rc e n t of V ariation I 14 23. 92 10.48 X2 > 2 3.68, P < .05 The function is significant a t l e s s than the . 05 level. Table 4. 6 also in d ic ates th a t the v a ria tio n accounted fo r by the function is 10.48 p erc en t. The d isc rim in a n t coefficients for the original v a ria b le s a r e p resen ted in Table 4 .7 . The v a ria b le s with the hig h est coefficients for th is function a re age, y e a rs from end of B .A . to s t a r t of M. A. , m a r ita l sta tu s, sex, graduation code, y e a r s from s t a r t to finish of B .A . , ad m issio n statu s, and m a jo r a t ad m issio n . The coefficients range from -.019 for num ber of colleges attended for B .A . to -1. 188 fo r age. sign of the coefficient is a function of sc a le d irec tio n . The F o r in stan ce, the la rg e negative coefficient fo r age in d ic ates th at o ld er students a re m ore likely to have acad em ic actio n taken a g a in st them . H ypothesis 4 . --H y p o th esis 4 s ta te s th at the p rea d m issio n data for the graduated group is significantly d iffe ren t from the 63 TA B L E 4. 7 D IS C R IM IN A N T F U N C T IO N C O E F F I C I E N T S F O R P R E A D M IS S IO N D A T A F O R G R A D U A T E A N D A C A D E M IC A C T IO N G R O U P S V ariab le Raw C oefficient M -S -1. 278 - . 628 SEX . 948 . 473 RES - .297 - . 124 .400 . 052 - . 157 -1.188 BORN . 521 . 263 GRAD - . 505 - .415 NO -COL - . 021 - .019 BA-M A . 128 . 756 BA -B A . 095 .412 U -G PA .477 . 196 G -E X P . 128 . 061 - . 521 - .414 . 234 .406 YRS-RS AGE ADM MAJOR Standardized 64 p read m issio n data fo r the d ism isse d g ro u p . A m ultiple d isc rim in a n t function w as calculated for the graduated and the d ism isse d groups to te s t this hypothesis. The resu ltin g function w as sig nifican t a t le s s than the . 05 level and accounted fo r 38. 98 p e rc e n t of the to tal v arian ce in the independent v a ria b le s. T hese re s u lts a r e p resen ted in Table 4 .8 . TABLE 4. 8 SIGNIFICANCE OF THE DISCRIMINANT FUNCTION FOR GRADUATE AND DISMISSED GROUPS Function NDF x2 P e rc e n t of V ariation I 14 6 8 . 79 38 . 98 X2 > 23. 6 8 , P < . 05 The coefficients of the d isc rim in a n t function, which a r e rep o rted in Table 4. 9, range from . 030 fo r the n um ber of y e a rs from the s t a r t of the B. A. to the end of the B. A. to . 506 fo r age. M arital sta tu s, age, born in s ta te o r out, ad m issio n sta tu s , and m ajo r a ll had standardized coefficients h ig h er than .359. 65 T A B L E 4. 9 D IS C R IM IN A N T F U N C T IO N C O E F F I C I E N T S F O R P R E A D M IS S IO N D A T A F O R G R A D U A T E A N D D IS M IS S E D G R O U P S V ariab le Raw C oefficient Standardized M -S 1. 039 . 504 SEX - . 251 126 RES - .487 -. 198 YRS-RS - . 008 -. 090 AGE . 070 . 506 BORN . 707 . 359 GRAD - . 122 -. 101 . 299 . 288 BA-M A - .049 -. 272 BA -BA . 030 -. 126 U -G P A - .498 -. 201 G -E X P . 076 . 036 ADM - .517 -.401 MAJOR - . 282 462 N O -CO L 66 Sum m ary of Group M em bership Hypotheses The p o ssib ility of p redicting group m em b ersh ip using p rea d m issio n data was te ste d with H ypotheses 1 through 4. H ypothe­ sis 1 could be considered the m a jo r hypothesis of the s e t a s it tested the d iffe ren c es in p re a d m issio n data fo r s e v e ra l g ro u p s. The m ultiple d isc rim in a n t a n a ly sis for H ypothesis 1 yielded two orthogonal o r independent functions. Thus, the p re a d m issio n data tends to p r e ­ dict group m em b ersh ip by two independent m e a s u re s . H ypotheses 2, 3, and 4 teste d the d iffe re n c e s in p r e a d m is ­ sion data betw een the graduated group and one of the o th er groups in the sam ple. Since H ypothesis 1 d em o n strated th a t the p re a d m issio n data d is c rim in a te s by two independent m e a s u re s , and since the m axim um num ber of d isc rim in a n t function fo r two groups i s one, Hypotheses 2, 3, and 4 w ere r e s tr ic te d in the am ount of v a ria n c e that could be accounted for in the p rea d m issio n data. Function 1 of H ypothesis 1 was the m o st pow erful, a c c o u n t­ ing fo r 54.47 p erc en t of the v a ria n c e . The o th e r functions ranged from a low of 10.48 p e rc e n t fo r H ypothesis 3 to 38. 98 p e rc e n t for Hypothesis 4. 67 Hypotheses Concerning M easu res of P e rfo rm a n c e fo r G radu ates H ypothesis 5. - -H y pothesis 5 s ta te s th at p rea d m issio n data for the graduated groups is significantly re la te d to the duration of the M a s t e r 's p ro g ra m . The graduated group and the graduated group who continued to the d o cto ra l p ro g ram w ere selected from the to ta l sam ple to te s t th is hypothesis. A ll of the p re a d m issio n v a ria b le s w ere used a s independent v a ria b le s . The duration of the M aster* s p ro g ram , which w as m e a su re d a s the num ber of te rm s from the f i r s t te rm of g rad u ate en ro llm en t to the te rm of g raduation, w as used a s the dependent v a ria b le . M ultiple re g re s s io n w as the technique chosen to te s t this hypothesis because i t pro vides an a n a ly sis of the re la tio n s among a single c rite rio n m e a su re and s e v e ra l p re d ic to r m e a s u re s . In addition, the a n a ly sis re s u lts in an equation for predicting the unknown c rite rio n sc o re of a new sub ject from this known s e t of p red ic to r s c o re s . The re g re s s io n and beta coefficients for H ypothe­ sis 5 a r e rep o rted in Table 4. 10. The m axim um R 2 The m axim um R attained was . 499. w as .2497, which in d ic ates th at 24. 97 p erc en t of the v arian ce in the independent v a ria b le s w as accounted fo r by the re g re ss io n equation. The value of F w as 4. 374, which i s sign ificant beyond the .05 level, thus supporting H ypothesis 5. Exam ination of the beta w eights shows th at age, re sid e n c e , and the num ber of y e a rs from the end of the B. A. to the M. A. application w ere the m o st 68 T A B L E 4 . 10 REGRESSION COEFFICIENTS, BETA WEIGHTS, STANDARD ERRORS, AND STEPWISE R FOR PREADMISSION DATA FOR GRADUATES WITH DURATION AS DEPENDENT VARIABLE V ariable R eg ressio n C oefficients Standard E rro r Beta C oefficients Standard E rro r of Beta Stepwise R M -S - . 229 1 . 022 016 . 079 . 499 SEX . 623 . 964 . 046 . 071 . 498 RES -5.188 1. 359 314 . 082 . 407 YRS-RS - . 015 . 049 023 . 075 . 499 . 362 . 182 . 389 . 195 . 482 BORN -1.171 1. 067 -. 088 . 080 . 487 GRAD . 091 . 657 . 011 . 081 . 499 NO- COL - . 139 . 566 018 . 072 . 499 BA-MA - .268 . 184 -. 236 . 162 . 490 BA-BA - . 191 . 207 119 . 129 . 495 U-G PA - .822 1. 372 051 . 085 . 497 G -E X P -1. 897 1. 014 133 . 071 . 445 ADM - . 087 . 747 010 . 090 . 499 MAJOR - .471 . 274 123 . 071 . 463 AGE The m ultiple R = .499, R2 = .2497, F * 4 .3 7 , P < . 05 Standard e r r o r of the estim a te is 6 . 077; the constant te rm is 18. 457. 69 significant fa c to rs in the final equation. The p redictio n equation, form ed from the re g re s s io n coefficients, has the following form : P re d ic te d D uration = - .229 M -S + . 623 SEX - 5. 188 RES - . 015 YRS-RS + . 362 AGE - 1. 171 BORN + . 091 GRAD - .139 NO-COL - .268 BA-M A - . 191 BA-BA - . 822 U -GPA - 1. 1897 G - EXP - .087 ADM - .471 MAJOR + 18.457 H ypothesis 6 . --H y p o th esis 6 s ta te s that the p re a d m issio n data fo r the graduated groups i s significantly re la te d to an index of p e rs is te n c e fo r the M aster* s p ro g ra m . The index of p e rs is te n c e was m ade up of the to ta l te rm s attended from the f i r s t te rm of attendance to the te rm of g rad uatio n, the to ta l te rm s m isse d during this sam e in te rv a l, the du ration, and the a v e rag e co u rse load. A canonical c o rre la tio n was calculated to re la te the p re a d m issio n data with the v a ria b le s which m ade up the index of p e rs is te n c e . Canonical c o rre la tio n is a sp e cia l case of m u ltip le re g re s s io n w here the num ber of c r ite r ia is g r e a te r than one. Thus, canonical c o rre la tio n i s the m axim um c o rre la tio n between lin e a r functions of the two s e ts of v a ria b le s. The num ber of p o ssib le canonical c o rre la tio n s is equal to the num ber of v a ria b le s in the s m a lle r s e t su b ject to the r e s t r i c ­ tion that each canonical v a ria te be orthogonal to a ll o th er canonical v a ria te s on its side of the equation. The canonical c o rre la tio n m odel TABLE 4. 11 CORRELATION MATRIX O F PREADMISSION DATA FOR GRADUATES J 0 U I o w £ m » X 3 w W CM OT CD .150 .224 i w w o 2 « 0 to PQ 00 £ c b O CD Si o $ PQ ^ ' - P CM a, x w i o tf 0 •-5 e*5 0 1 M-S 2 SEX . 168 3 RES .171 4 YRS-RS .310 5 AGE .330 6 BORN .435 7 GRAD .466 .477 8 NO-COL 9 BA-MA .279 10 BA-BA 11 U-GPA .529 .402 .164 . 165 13 ADM . 166 R > .138, P < .05 -. 139 .238 12 G-EXP 14 MAJOR .749 -. 178 .199 -. 302 -.291 .258 -.256 .218 568 241 .308 71 p roduces th re e useful s e ts of c o rre la tio n s in addition to the canonical c o rre la tio n . T hese a r e the c o rre la tio n s betw een the independent v a ria b le s, the c o rre la tio n s between the dependent v a ria b le s, and the c o rre la tio n s betw een the independent and the dependent v a ria b le s . The c o rre la tio n s between the independent v a ria b le s a re p re se n te d in T able 4. 11. The c o rre la tio n s which had a value of R g r e a te r than . 138 w ere sig n ifican t a t the . 05 level. The highest c o rre la tio n s w ere between age and the n um ber of y e a rs from end of B. A. to application to M a s t e r 's p ro g ram (. 749), age and the num ber of y e a rs from s t a r t of B. A. to the end of B. A. (. 529), and u n d erg rad u ate g rad e point a v e rag e and ad m issio n sta tu s (. 568). The c o rre la tio n s between the m e a s u re s of p e rs is te n c e a r e p resen ted in Table 4 . 12. TABLE 4. 12 CORRELATION MATRIX OF MEASURES OF PERSISTENCE FOR GRADUATES 1 T -A T T 2 T-M ISS 1 T -A T T 2 T - MISS . 317 3 DURAT . 705 . 882 4 AVG- LD -. 759 353 R > .138, P < .05 3 DURAT -. 613 4 AVG-LD TABLE 4.13 CORRELATION MATRIX OF PREADMISSION DATA AND MEASURES OF PERSISTENCE FOR GRADUATES J 0 u i CO tf co I co eo W 2 I w OS 0 PS I* to PQ 0 o 00 2 < n 0) I.j o < pq C Oh 0 rH ' - P & X w N ' 1-H 0 os 3 eo 0 f-H . 138, P < .05 .515 -.189 .266 .216 73 This table in d ic ates th a t d uration and a v e rag e co u rse load a r e quite highly c o rre la te d with the o th er m e a s u re s of p e rs is te n c e . The c o rre la tio n s between the independent and the dependent v a ria b le s a r e p re se n te d in Table 4. 13. T his table in d ic ates that re sid e n c e , age, born in s ta te o r out, and g rad u ate ex p erien ce a ll c o rre la te significantly with a ll of the m e a s u re s of p e rs is te n c e . The significance of the canonical c o rre la tio n fo r H ypothe­ s is 6 is p resen ted in Table 4. 14. The h ig h est canonical R w as .613, which is sig n ifican t a t the . 05 level. H ypothesis 6 w as th e re fo re supported. TABLE 4. 14 X2 TEST OF SIGNIFICANCE OF CANONICAL CORRELATIONS OF MEASURES OF PERSISTENCE FOR GRADUATES Num ber of Roots Removed Canoni cal R x2 NDF 0 . 613 116.272 56 = . 05 1 . 26 4 27.411 39 > . 05 2 .218 13.692 24 > . 05 3 . 153 4. 487 11 > . 05 P The stan d ard ized canonical coefficients, which co rresp o n d to the beta w eights in a m ultiple r e g re s s io n equation, a r e p resen ted 74 in Table 4. 15. The m e a s u re s of p e rs is te n c e w ere loaded high est on te rm s m isse d and av erag e co u rse load. The loadings ranged from . 168 fo r te rm s attended to . 845 for av erag e co u rse load. The v a ria b le s with the h ig h est coefficients for the p rea d m issio n data w ere resid e n ce , age, and num ber of y e a rs from the end of the B. A. to the M .A . application. TABLE 4. 15 CANONICAL COEFFICIENTS FOR MEASURES OF PERSISTENCE AND PREADMISSION DATA V ariable Standardized C oefficient V ariable Standardized C oefficient M -S -0.130 U -G PA -0.115 SEX 0. 167 G - EXP -0. 218 RES 0. 716 ADM YRS-RS 0. 090 MAJOR -0. 194 AGE 0. 620 0. 061 BORN -0.116 GRAD 0. 023 T -A T T 0 . 168 NO-COL 0. 135 T - MISS 0. 605 BA-MA -0.428 DURAT -0.383 BA-BA -0.274 AVG- LD -0.845 75 H ypothesis 7. --H y p o th e sis 7 s ta te s th at the p rea d m issio n data fo r the graduated groups is significantly re la te d to an index of academ ic p erfo rm an c e. The index of acad em ic p erfo rm an ce was m ade up of the total g rad e point a v e ra g e fo r the M aster* s p ro g ra m , and the to ta l c re d its d e fe rre d . A canonical c o rre la tio n was again calculated to re la te die p re a d m issio n data with the m e a s u re s of academ ic p erfo rm an c e. The c o rre la tio n s of the independent v a r i ­ ables a r e the sam e a s in H ypothesis 6 and a r e p re se n te d in Table 4. 11. The c o rre la tio n s of the m e a s u re s of academ ic p erfo rm an ce a r e p r e ­ sented in Table 4. 16. This table in d icates th at the m e a s u re s of academ ic p erfo rm an ce a r e not c o rre la te d significantly. TABLE 4. 16 CORRELATION MATRIX OF MEASURES OF ACADEMIC PERFORMANCE FOR GRADUATES T -G P A 1 T -G P A 2 T -C R E D 3 C R -D E F R > .138, P < . 05 -. 145 T - CRED C R -D E F TABLE 4.17 CORRELATION MATRIX OF PREADMISSION DATA AND MEASURES OF ACADEMIC PERFORMANCE FOR GRADUATES CO ® pq .351 1 T-GPA 2 T-CRED . 191 .145 3 CR-DEF R > . 138, P < . 05 .281 . 174 . 162 77 The c o rre la tio n s betw een the independent and dependent v a ria b le s a r e p resen ted in Table 4. 17. As indicated in th is table, the independent and dependent v a ria b le s a r e m ostly not significantly c o rre la te d . The significance of the canonical c o rre la tio n fo r H ypothe­ s is 7 is p resen ted in Table 4. 18. attained was .426. The m axim um canonical R Two of the canonical ro o ts w ere significant beyond the .05 level, thus supporting H ypothesis 7. TABLE 4. 18 X2 TEST OF SIGNIFICANCE OF CANONICAL CORRELATIONS OF MEASURES OF ACADEMIC PERFORMANCE FOR GRADUATES Num ber of Roots Removed Canonical R X2 NDF P 1 . 426 86.902 42 = . 05 2 . 409 48. 961 26 = . 05 3 . 270 14.313 12 > . 05 The stan d ard ized canonical coefficienta a r e p re se n te d in Table 4. 19. The to ta l g rad e point a v e ra g e and c re d its d e fe rre d had the highest coefficients on the dependent v a ria b le side of the e q u a ­ tion. The coefficients for the p re a d m issio n data ranged from . 056 78 for graduation code to -1. 036 for age. The independent v a ria b le s with the hig h est coefficients w ere age, the num ber of y e a rs from the end of B. A. p ro g ram to M a s t e r 's application, the n u m ber of y e a rs from the s t a r t of the B. A. to the end of the B. A. , und erg rad u ate grad e point av e rag e , and ad m issio n sta tu s. TABLE 4. 19 CANONICAL COEFFICIENTS FOR MEASURES OF ACADEMIC PERFORMANCE AND PREADMISSION DATA Standardized C oefficient V ariable Standardized C oefficient V ariab le M -S -0.361 B A -B A 0.435 SEX 0. 132 U -G P A 0. 521 RES 0. 074 G -E X P -0.065 YRS-RS 0. 130 ADM AGE -1. 036 BORN -0.110 GRAD 0. 056 NO- COL BA-MA 0. 489 MAJOR -0. 200 T -G P A 0. 897 -0.104 T -C R E D -0.133 0. 726 C R -D E F -0.309 79 Summary of Graduate P e rfo rm a n c e Hypotheses The relatio n sh ip of the p rea d m issio n data for the graduated groups to th re e m e a s u r e s of p erfo rm an ce was explored with Hypotheses 5, 6, and 7. te s t Hypothesis 5. The R A r e g r e s s io n equation was calculated to 2 for this equation was .2497, which m eans the equation accounted for 24. 97 p e rc e n t of the v a ria n c e in the in d e ­ pendent v a ria b le s with relation to duration of the M a s t e r 's p ro g ram . Canonical c o rre la tio n was used to t e s t the relation sh ip between the p re a d m issio n data and m e a s u r e s of p e r s is te n c e and academ ic p erfo rm an c e for Hypotheses 6 and 7 resp ec tiv e ly . canonical R for Hypothesis 6 was . 613. The The canonical R for Hypothe­ sis 7 was .426. Hypotheses Concerning D epartm ental C h a ra c te r is tic s Hypothesis 8 . --H y p o th e sis 8 s ta te s th at a fa c to r an a ly sis of p read m issio n data for the graduated group will yield an in te rp re ta b le se t of fa c to rs which w ill be d ifferen t fo r each departm ent. hypothesis was tested in two p a r ts . This F i r s t, a facto r an a ly sis with a rotation c rite rio n of a ll fa c to rs with eigenvalues g r e a t e r than 1. 00 was computed using the p rea d m issio n data for the e n tire graduated sam ple. This was done to t e s t the sta te m e n t that the facto r an aly sis 80 of the p rea d m issio n data will yield an in te rp re ta b le s e t of fac to rs. Next, the graduated group was divided into groups according to th e ir m ajo r at the tim e of adm ission. A facto r an a ly sis using a rotation crite rio n of a ll fa c to rs with eigenvalues g r e a t e r than 1. 00 was c o m ­ puted for each m a jo r group. This was done to t e s t the sta te m e n t that the fa c to rs will be d ifferen t for each departm ent. The purpose of the fac to r a n a ly se s was to group tog eth er under one category a s many v a ria b le s a s w e re m ea su rin g the sam e factor and a ssig n a common d e s c rip tiv e nam e to the group. The principal ax is, orthoginal o r v arim ax , and the oblique o r prom ax solutions w e re calculated. The orthoginal solution is commonly used because it m ain tain s independence between fa c to rs . However, the oblique solution was selected for this a n a ly sis because i t re la x e s the req u irem e n t of independence and allows the v a r ia b le s to group into m ore identifiable c a te g o rie s. However, the fa c to rs can be somewhat in te rc o rre la te d in the oblique solution. The r e s u lts of the prom ax rotation fo r a ll g ra d u a te s a r e presen ted in Table 4. 20. The highest fac to r loadings fo r the p r e ­ adm ission data for the 5 fa c to rs with eigenvalues g r e a t e r than 1. 00 a r e rep o rted . was 69.251. The p erc en t of v aria n ce accounted fo r by the 5 fa c to rs The com m unalities ranged from .423 for g raduate experience to .916 for age. TABLE 4 . 2 0 HIGHEST FACTOR LOADINGS FOR PREADMISSION DATA FOR GRADUATES FROM A L L D EPA RTM EN TS USING THE PROMAX ROTATIONAL ANALYSIS 1 2 3 4 5 Eigenvalues 2.343 2.140 1.828 1.437 1.252 Cumulative Proportion of Variance 18.028 34.490 48.557 59.615 69.251 Communalities Variable M-S SEX RES YRS-RS AGE BORN GRAD NO-COL BA-MA BA-BA U-GPA G-EXP ADM .640 -.762 .887 .863 -.810 -.773 -.777 .906 -. 827 .862 -.569 .796 .581 .576 .699 .763 . 916 .683 .662 .621 .822 .753 .746 .423 .751 82 The f i r s t facto r for the total graduated sam ple could be c h a ra c te riz e d a s a post B. A. factor. It was composed of age, BA- MA, and previous graduate experience. The second fac to r, c o m ­ posed of resid e n ce , born in o r out of state, and graduation code, could be considered a resid en ce facto r. undergraduate academ ic facto r. The third fac to r was the It was composed of undergraduate grade point av e rag e , and ad m issio n statu s. These two v a ria b le s load to g eth er because ad m issio n sta tu s i s d eterm in ed by the strength of the undergrad uate grade point av e rag e . The fourth facto r was composed of m a r i ta l sta tu s and y e a r s a t resid e n ce . considered a s a dom esticity fac to r. This could be Number of colleges attended for the B. A. and the num ber of y e a r s between s t a r t and finish of the B.A. formed the la s t factor which could be labeled the u n d e rg ra d u ­ ate p e rs is te n c e facto r. The r e s u lts of the prom ax rotation for the graduated groups adm itted nondegree a r e p resen ted in Table 4 .2 1 . cent of variance attained was 64. 38 p ercen t. eigenvalues g r e a t e r than 1. 00. The highest p e r ­ Four fa c to rs had The com m unalities ranged from . 35 for adm ission statu s to . 846 for resid e n ce . F a c to rs 1 and 2 w ere the sam e a s fa c to rs 1 and 2 for the total group. a c te riz e d by post B.A . and re s id e n c e fa c to rs. They w ere c h a r ­ The th ird facto r was composed of m a r ita l sta tu s, y e a r s of resid en ce, graduated in TABLE 4. 21 HIGHEST FACTOR LOADINGS FOR PREADMISSION DATA FOR GRADUATES ADM ITTED NONDEGREE USING THE PROMAX ROTATIONAL ANALYSIS 1 2 3 4 Eigenvalues 3.181 1.810 1.511 1.222 Cumulative Proportion of Variance 26.510 41.595 54.191 64.382 Communalities Variables M-S SEX RES YRS-RS AGE BORN GRAD NO-COL BA-MA BA-BA U-GPA G-EXP ADM .598 .664 -.927 -.742 -. 745 -. 702 . 601 -. 634 -.767 -.691 .588 .882 .645 .584 .846 .600 .789 .749 .656 .521 .709 .614 .377 .629 .351 84 state or out, and num ber of colleges attended for the B.A . v a ria b le s seem to m e a s u re m obility. These The fourth facto r se em s to be a m e a s u re of the underg rad u ate ex p erien ce. It i s composed of undergraduate g rad e point av erag e, BA - BA, and sex. The r e s u lts of the prom ax ro tatio n for the e le m e n ta ry e d u ­ cation group a r e p resen ted in Table 4 .2 2 . Five fa c to rs had e ig e n ­ values g r e a t e r than 1. 00 and accounted for 71. 01 p e rc e n t of the total varian ce. The five fa c to rs for the e le m e n ta ry education group a r e alm o st identical to the five fa c to rs fo r the total group. F a c to r 1, composed of age, BA-M A, and BA-BA could be labeled a s a p e r ­ sisten ce facto r. F a c to r 2 was the re s id e n c e o r m obility factor. F acto r 3 was the u n derg rad u ate p erfo rm an c e factor. F a c to r 4, the dom esticity facto r, was composed of m a r ita l sta tu s and y e a r s a t residence. F a c to r 5 had only one v a ria b le and rem ain ed the g r a d u ­ ate experience factor. The r e s u lts of the prom ax ro tatio n al an a ly sis for the secondary education group a r e p resen ted in Table 4 .2 3 . The m a x i ­ mum varian ce attained was 69. 96 p e rc e n t a f te r four fa c to rs w ere rotated. C om m unalities ranged from . 473 fo r m a r i t a l sta tu s to . 937 for age. M arital sta tu s, sex, resid e n ce , and y e a r s a t resid e n ce combined to form the f i r s t facto r. Num ber of colleges attended for TABLE 4. 22 HIGHEST FACTOR LOADINGS FOR PREADMISSION DATA FOR GRADUATES ADMITTED IN ELEM ENTARY EDUCATION USING THE PROMAX ROTATIONAL ANALYSIS 1 2 3 4 5 Eigenvalues 2.807 1.922 1.880 1.569 1.052 Cumulative Proportion of Variance 21.596 36.386 50.848 62.918 71.012 Communalities Variable M-S SEX RES YRS-RS AGE BORN GRAD NO-COL BA-MA BA-BA U-GPA G-EXP ADM -.626 -. 674 -.926 . 959 -.756 -.828 .503 .662 .863 -.900 -.824 -. 898 .660 . 338 .607 .804 .952 .591 .665 .568 .833 .858 .790 .727 .832 TABLE 4. 23 HIGHEST FACTOR LOADINGS FOR PREADMISSION DATA FOR GRADUATES ADM ITTED IN SECONDARY EDUCATION USING THE PROMAX ROTATIONAL ANALYSIS 1 2 3 4 Eigenvalues 2.994 2.658 1.950 1.491 Cumulative Proportion of Variance 23.035 43.489 58.493 69.964 Communalities Variables -.450 -.684 -.527 -.924 .489 -.880 .779 .901 -.736 -.969 • CO 00 oo 1 M-S SEX RES YRS-RS AGE BORN GRAD NO-COL BA-MA BA-BA U-GPA G-EXP ADM -.606 .618 .677 .473 .516 .785 .747 .937 .692 .816 .545 .890 .811 .501 .740 .637 87 B.A. , B A-BA , and u n d erg rad u ate g rad e point a v e rag e formed factor 2, which was the underg rad u ate p erfo rm an c e factor. F a c to r 3 was the post B .A . facto r and was identical to the post B.A . factor for the total group. F a c to r 4 is a re s id e n c e factor, being composed of resid e n ce , born in o r out of sta te , graduated in o r out of state, and ad m issio n sta tu s. The r e s u lts of the prom ax an aly sis for the ad m in istra tio n group a r e p re se n te d in Table 4 .2 4 . The cumulative p ro p o rtio n of varian ce attained a f te r five fa c to rs w ere rotated was 80. 375 p ercen t. The com m unalities ranged from . 574 for grad u ate exp erien ce to . 915 for BA-MA. F acto r 5 was loaded on age and thus re m a in s an age facto r. F acto r 1 was loaded on age and num ber of colleges attended for B.A. F acto r 2, the underg rad u ate factor, was loaded on sex, u n d e r g r a d u ­ ate grade point av erag e, and ad m issio n sta tu s. F a c to r 3 w as loaded on residen ce, born in o r out of state, graduated in o r out of sta te , and g raduate experience. I t could be labeled a re s id e n c e factor. F acto r 4, the d om esticity factor, was loaded on m a r ita l sta tu s, sex, and y e a r s a t resid en ce. The r e s u lts of the prom ax an aly sis for the counseling and guidance group a r e p resen ted in Table 4. 25. values g r e a t e r than 1. 00. Six fa c to rs had e ig e n ­ The cumulative p erc en t of v aria n ce was TABLE 4 . 2 4 HIGHEST FACTOR LOADINGS FOR PREADMISSION DATA FOR GRADUATES ADM ITTED IN ADMINISTRATION USING THE PROMAX ROTATIONAL ANALYSIS 1 2 3 4 5 Eigenvalues 2.950 2.709 2.142 1.510 1.136 Cumulative Proportion of Variance 22.696 43.537 60.015 71.635 80.375 Communalities Variable M-S SEX RES YRS-RS AGE BORN GRAD NO-COL BA-MA BA-BA U-GPA G-EXP ADM .933 .560 -.633 -.823 .717 -.481 -.673 -.830 -.520 -.917 -.817 -.511 -.837 .852 .809 .779 .708 .883 .801 .816 .753 .915 .888 .859 .574 .787 TABLE 4. 25 HIGHEST FACTOR LOADINGS FOR PREADMISSION DATA FOR GRADUATES ADM ITTED IN COUNSELING AND GUIDANCE USING THE PROMAX ROTATIONAL ANALYSIS 1 2 3 4 5 6 Eigenvalues 2.337 2.215 1.973 1.591 1.286 1.035 Cumulative Proportion of Variance 17.981 35.022 50.205 62.451 72.345 80.311 Communalities Variable M-S SEX RES YRS-RS AGE BORN GRAD NO-COL BA-MA BA-BA U-GPA G-EXP ADM .985 .820 -.911 .887 .854 .804 -.887 .945 -.818 .985 -. 968 .722 .833 .649 .891 .949 .692 .758 .821 .910 .813 .745 .846 .804 90 80.311 percent. The com m unalities ranged from . 692 for born in state o r out to . 949 for age. F a c to rs 5 and 6 loaded on sex and grad u ate experience resp ectiv ely and, th e re fo re , retained th e ir original v a ria b le nam es. F acto r 1 loaded on resid e n ce , born in sta te o r out, and graduated in state o r out. Thus, factor 1 could be labeled a re sid e n c e fa c to r. F acto r 2 loaded on age and BA-BA. F a c to r 3 loaded on u n d ergrad u ­ ate grade point a v e rag e and could be considered an u ndergraduate perform ance facto r. F a c to r 4 could be considered to be a m e a su r e of mobility as it loaded on y e a r s a t resid e n ce and num ber o f c o lle g e s attended for B .A . In su m m ary , the facto r an a ly sis of the total graduated group yielded an in te rp re ta b le s e t of fac to rs, thus supporting p a r t A o f the hypothesis; however, the factor a n a ly se s of the m a jo r group y ield ed a s e t of fa c to rs which w e re a lm o st id en tical to the total group and to each o ther. T h erefo re , p a r t B of the hypothesis was not supported. Summary The p o ssib ilitie s of predicting group m em b ersh ip from p read m ission data was explored by testing four hypotheses through calculating a m ultiple d isc rim in a n t a n a ly sis for each hypothesis. All hypotheses w e re supported a t the . 05 level of significance. The 91 f i r s t hypothesis, dealing with a ll five groups, was the m o st powerful as two orthogonal d isc rim in a n t functions re s u lte d from the c a lc u la ­ tions . The graduated groups w ere then selected from the total sam ple. The relatio n sh ip of the p rea d m issio n data to th re e m e a s u r e s of p erfo rm an c e was tested. A m ultiple r e g r e s s io n a n a ly sis to p r e ­ dict duration of the Master* s p ro g ra m was significant a t the . 05 p ercen t level. Canonical c o rre la tio n s between the p re a d m issio n data and m e a s u r e s of p e rs is te n c e and academ ic p erfo rm an c e w ere a ls o supported a t the . 05 level. Finally, a facto r an a ly sis with oblique rotation was computed for the total graduated group. The graduated group was then broken down by m a jo r a t the tim e of ad m issio n and facto r a n a ly se s w e re run for each group. These an aly ses re su lte d in a s e t of in te rp re ta b le fa c to rs for the total group and for each subgroup. The fa c to rs fo r the subgroups w e re n ea rly identical with the fa c to rs of the to tal group and with the fa c to rs for each o th er subgroup. CHAPTER V SUMMARY AND CONCLUSIONS The purpose of this study was to in v estig ate the relatio n sh ip of selected p re a d m issio n data to s e v e r a l m e a s u r e s of graduate s u c ­ cess. The f i r s t question of i n t e r e s t was predicted m em b e rsh ip in the group of students who eventually graduated, graduated and c o n ­ tinued on to the d o ctoral p ro g ra m , had ac ad em ic action taken ag a in st them, w ere asked to leave the p ro g ra m , o r did not e n ro ll for 5 y e a r s . In addition, it was d e s ire d to te s t the stren g th of the differen ces between the two graduated c a te g o rie s and the th re e c a t e ­ g o rie s of students who did not grad u ate. T hese te s ts w ere m ade in o r d e r to explore the relatio n sh ip of the p re a d m issio n data to the question of graduation o r no graduation. A second question of i n te r e s t was the relatio n sh ip of the p rea d m issio n data for the graduated sam ple to s e v e r a l m e a s u r e s of p erfo rm an ce in the M a s t e r ' s p ro g ra m . The m e a s u r e s of perfo rm an ce w ere duration of the M a s t e r 's p ro g ra m , an index of p e rs is te n c e in the M a s t e r 's p ro g ram , and an index of academ ic p erfo rm an ce in the 92 93 M a s t e r ' s p ro g ram . These m e a s u r e s w ere explored in o r d e r to provide a m e a s u re of student use of college of education r e s o u r c e s . The final purpose of this study was to exam ine the d e p a r t ­ m ental p ro file s of the p re a d m issio n data for the g raduated sam ple. This was done in o r d e r to examine the d iffe ren c es that m ight ex ist in the entran ce qualifications of su c ce ssfu l g ra d u a te s of the v ario u s d ep a rtm e n ts in the college of education. These p a r tic u la r questions w ere examined in re sp o n se to s e v e r a l p ro b lem s r a is e d in the review of the l it e r a t u r e concerning graduate work and g rad u ate ad m issio n s. F ir s t, the l it e r a t u r e seem ed to indicate that th e re is a national trend toward a g r e a t e r percen tag e of people seeking g radu ate education. In addition, th e re is a trend toward continuing to g rad u ate work d ire c tly a fte r the u n d erg rad u ate p ro g ra m . T hese fa c to rs , in combination, have in c re a s e d the p r e s s u r e for g rad u ate ad m issio n s o fficers. Secondly, the lite r a tu r e seem ed to indicate that g raduate schools a r e doing a poor job of selectio n when com pared to the p r o ­ fessional schools. This is evidenced by a high a ttritio n r a te in the graduate schools. Finally, the stud ies of selectio n p ro c e d u re s in g raduate school have been quite unresponsive to the basic question of 94 graduation o r no graduation. In addition, they have been quite stereotyped in th e ir use of g rad e point a v e ra g e s o r faculty ratin g s a s c r i t e r i a for su c c e ss. In o r d e r to investigate these concerns, a sam ple of 358 M a s t e r ' s d eg ree students belonging to one of the five r e s e a r c h c a t e ­ g o rie s a s of w inter, spring, s u m m e r, o r fall 1969 was selected . A s e r i e s of four m ultiple d is c rim in a n t functions was calculated to te s t the relatio n sh ip of the se lec te d p rea d m issio n data to pred icted category m em b ersh ip . The group of students who had su ccessfu lly completed the M a s t e r 's d eg re e was then se lec te d from the total sam ple. A m ultiple r e g r e s s io n an a ly sis was then calculated to explore the relatio n sh ip between the p re a d m is sio n data and the duration of the M a s t e r 's p ro g ram . In addition, two canonical c o rre la tio n s w ere computed to r e la te the p re a d m issio n data to a m e a s u r e of p e rs is te n c e m ade up of the total te r m s attended, the total t e r m s m isse d , the duration, and the av erag e co u rse load and a m e a s u r e of acad em ic p erfo rm an c e m ade up of the to ta l g ra d e point av erag e, the total c re d its, and the total c r e d its d e fe rre d . Finally, facto r a n a ly se s with the oblique solution for a ll fa c to rs with eigenvalues g r e a t e r than 1. 00 w ere run for the total graduated group and for each m a jo r d ep a rtm e n t within the total 95 group. The r e s u lts of these an a ly se s support the following conclusions based on te s ts of significance a t the . 05 level w here applicable: 1. The selected p rea d m issio n data is significantly rela te d to m em b ersh ip in the graduated, graduated to do cto ral p ro g ram , not enrolled for 5 y e a r s , academ ic action, or do not re a d m it category. 2. Selected p rea d m issio n data is significantly different for the graduated and the acad em ic action groups. 3. Selected p rea d m issio n data is significantly d ifferen t for the graduated and the not enrolled for 5 y e a r s group. 4. Selected p rea d m issio n data is significantly different for the graduated and the do not re a d m it groups. 5. P re a d m iss io n data for graduated groups i s significantly re la te d to the duration of the Master* s p ro g ram . 6. P re a d m iss io n data for the graduated group is significantly rela te d to an index of p e rs is te n c e made up of total te r m s attended, total t e r m s m isse d , duration, and a v e rag e course load. 7. P re a d m iss io n data for the graduated group is significantly re la te d to an index of academ ic p erfo rm an ce m ade up of total grad e point av erag e, total c re d its, and total c re d its d e fe rre d . 8. A fac to r a n a ly sis of p re a d m is sio n data for the graduated group y ield s an in te rp re ta b le s e t of fa c to rs. 9. The s e t of fa c to rs fo r each m a jo r d ep artm en t is a lm o st id en tical to the s e t of fa c to rs fo r the total group and for each o th er d ep artm en t. 96 Im plications for P red ictio n of Group M em bership Several au th o rs have suggested that it would be d e sira b le to operate grad u ate ad m issio n s on the b asis of a prediction formula o r on the b a s is of established cutting s c o r e s . Bogue suggests a sy stem for establishing a lo ss ratio for every possible sc o re in a s e t of a d m issio n s data. The s c o r e s with the low est num ber of p r e ­ diction e r r o r s would be the s c o r e s with the lowest loss ratio . These s c o re s would be selected a s the cutting s c o r e s . * Irvine su ggests that a m ultiple prediction equation should be employed that d i s tinguishes between potential g rad u a tes and potential dropouts. 2 Mayhew th e o riz e s that the b e st we can do with our p re s e n t m e a s u r e s 3 is to s o r t out the v e ry low est students. The data in this study s u g ­ g e s ts , however, that these concepts m ay be inadequate for the M a s t e r 's p ro g ram in the College of Education at Michigan State U niversity. The te s t of Hypothesis 1 indicates that the p rea d m issio n data is related to group m em b ersh ip along a t l e a s t two dim ensions. M a rita l statu s (.208), resid e n ce (-.2 5 9 ), age (.270), and ad m ission status (-.7 1 1 ) w ere the m o st im p o rta n t v a ria b le s in function I which accounted for 54 p erc en t of the v aria n ce . M a rita l sta tu s (. 671), sex (-. 307), age (. 641), num ber of colleges attended for the B. A. (. 306), num ber of y e a r s from the end of the B. A. to the M. A. application (-. 385), num ber of y e a r s from the s t a r t to the finish of the B. A. 97 ( 302), u n derg rad u ate g ra d e point a v e rag e ( 619), and adm issio n sta tu s (. 374) w e re the m o s t im p o rtan t v a ria b le s in function U which accounted for 32 p e rc e n t of the v arian ce. Thus, function II, the le a s t powerful of the two functions, is composed of the trad itio n a l m e a s u r e s of u n d erg rad u ate perfo rm an ce and m e a s u r e s of resid en ce. Function I, the m o st powerful, is composed of m e a s u r e s of resid en ce and ad m issio n statu s. T h erefo re, the concept of a m ultiple p r e d i c ­ tion equation involving m e a s u r e s of p a s t p erfo rm an ce is inadequate. Since th ere a r e two independent functions, one m ultiple prediction equation would be inadequate to d e s c rib e the data. powerful function is composed of resid en ce fa c to rs. Also, the m o st These fa c to rs a r e not usually considered in m ultiple prediction equations based on p a st perfo rm an ce. The coefficients for adm ission statu s and m a jo r a t the time of adm ission both have in te re stin g im plications for the nondegree p ro g ram . sion ( A dm ission sta tu s (-.7 1 1 ) and m a jo r a t the tim e of a d m i s ­ 432) have high negative loadings which indicate that nondegree adm ission sta tu s d is c rim in a te s r a t h e r highly ag ain st graduation. Im plications for M e asu res of G raduate P e rfo rm a n c e The m e a s u r e s of p erfo rm an c e for the graduated group which w ere studied w ere duration, p e rs is te n c e , and academ ic p erfo rm an ce. 98 The m ultiple R for the r e g r e s s io n equation fo r duration was . 499. The m ultiple R 2 was .2497. Thus, while the m ultiple was s ig n ifi­ cantly g r e a t e r than zero, the total v aria n c e accounted for was only 25 p erc en t. With a standard e r r o r of the e stim a te of 6. 077, the duration could be predicted plus o r m inus 6 te r m s . The highest Beta weights w ere a sso c ia te d with resid en ce (-. 314), age (. 389), and num ber of y e a r s between the end of the B.A . and the M. A. a p p lic a ­ tion (-.2 3 6 ). Thus, it is possible th at o ld er Michigan re s id e n ts who delay the s t a r t of th e ir g rad u ate work tend to take longer in getting th e ir Master* s deg ree. The co rre la tio n m a trix of the p rea d m issio n data which was p a r t of the canonical c o rre la tio n calculations revealed a few high relatio n sh ip s between the p re d ic to r v a ria b le s. Residence was c o r ­ rela te d with born in o r out of state (. 435) and graduated in o r out of state (. 466), indicating that sta te re s id e n ts tend to be natives and tend to rec eiv e th e ir B.A. in Michigan. Age was c o rre la te d with num ber of y e a r s from the end of the B.A. to the M.A. application (. 749) and with the num ber of y e a r s from the s t a r t to the finish of the B .A . (.529), indicating that o ld er students take longer to com plete the B.A . and delay the s t a r t of th e ir grad uate work. Num ber of colleges attended for the B .A . i s c o rre la te d with the num ber of y e a r s fo r the s t a r t to the finish of the B. A. (. 402), indicating quite logically that 99 the m o re colleges attended for the B. A. , the longer it takes to get the B.A. Finally, ad m issio n sta tu s was c o rre la te d with u n d e r ­ grad u ate grade point av erag e (. 568), indicating that ad m issio n sta tu s is determ in ed by the strength of the underg rad u ate g rad e point averag e. The c o rre la tio n s of the m e a s u r e s of p e rs is te n c e showed that m o re te rm s attended m eant longer duration (. 705) and a s m a lle r cou rse load (-.7 5 9 ). The canonical coefficients indicated that te r m s m issed (. 605) and av erag e cou rse load ( im p o rtan t m e a s u r e s of p e rs is te n c e . 845) w ere the m o st Residence (.716), age (.620), and num ber of y e a r s from the end of the B.A. to the M. A. a p p lic a ­ tion (-.4 2 9 ) w ere the b est p re d ic to rs of p e rs is te n c e . Thus, o lder Michigan re s id e n ts who delay the s t a r t of th e ir g raduate work not only take longer, but a r e le s s p e rs is te n t. The c o rre la tio n m a tr ix of the academ ic p erfo rm an ce m e a s u r e s showed th at these m e a s u r e s w ere not c o rre la te d . How­ ev e r, the canonical coefficients indicated that total g rad e point av erage (. 897) was by far the m o s t im p o rtan t m e a s u r e . Age (-1. 036), num ber of y e a r s from the end of the B .A . to the M. A. application (. 726), num ber of y e a r s from the beginning to the end of the B.A. (. 435), and u n d erg rad u ate g rad e point a v e rag e (.521) w ere the b e st p re d ic to rs of acad em ic p erfo rm an ce. Thus, the younger student 100 who takes longer to complete the B.A. and delays the s t a r t of graduate work tends to have strong academ ic p erfo rm an ce. Age, resid e n ce , and delay of the s t a r t of grad u ate study seem to figure in the m e a s u r e s of p e rs is te n c e and academ ic p e r ­ form ance. The relatio n sh ip of resid e n ce to graduate study is s u p ­ ported in Davis' study. Davis rep o rted that m o st g raduate students attend school within a four hour d rive of th e ir home. 4 W right found age to be an in v e rse factor in his 10 y e a r longitudinal study. 5 Howg ever, Spaeth did not find age to be a significant facto r in his study. H e rb e rt, also, did not find a relatio n sh ip between the y e a r of B.A. graduation and M a s t e r 's grad e point. 7 Im plications for Graduate P re a d m iss io n P ro file s The factor an aly ses of the total g rad uate group and the d ep artm en tal groups yielded in te rp re ta b le facto rs which w ere a lm o st identical. The analy ses resu lted in 4, 5, and 6 fa c to rs which would support the finding of Hypothesis 1 that p rea d m issio n data is made up of m o re than one s e t of independent m e a s u r e s . The fact th at the se ts of fa c to rs a r e n early identical is supported by H ills' r e s e a r c h . Hills found that m ultiple re g r e s s io n prediction equations w e re only Q different for widely different fields such as physica and education. 101 While a ll of the s e ts of fa c to rs w ere a lm o st identical, the se t for the d ep a rtm e n t of secondary education is the e a s ie s t to in te r p r e t. These fac to rs show the p re s e n c e of a definite d o m e s ­ ticity index m ade up of re sid e n c e (-.5 2 7 ), y e a r s a t resid e n ce (-. 924), sex (-.6 84 ), and m a r ita l statu s (-.4 5 0 ). A B.A. p erfo rm an ce factor also ex ists which co n sists of num ber of colleges attended for the B.A, (-.7 3 6 ), num ber of y e a r s to get the B.A. (-.8 8 8 ), and u n d e r ­ g raduate grade point av erag e (-. 606). T here is also a post B.A. factor consisting of age ( -. 880), num ber of y e a r s from the end of the B.A t o M .A . application (-. 969), and graduate experience (. 618). Finally, th ere is a resid en ce factor m ade up of resid en ce (.489), born in o r out of state (. 901), and ad m issio n status (. 677). The im plications for the College of Education a r e twofold. F ir s t, the c u r r e n t method of evaluating a M a s t e r 1s application is to send it to a d ep a rtm e n t re p re se n ta tiv e who in turn weighs the inform ation available on the application blank and m akes the decision to ac ce p t or r e je c t the applicant. The sim ila rity of the factor s e ts between d ep a rtm e n ts se em s to suggest that a good a lte rn a tiv e might be college-wide ad m issio n s. A com m ittee m ight be form ed, with re p re s e n ta tiv e s from each d ep artm en t, to estab lish college-wide ad m issio n s sta n d ard s. T hese sta n d a rd s could then be applied in weekly application evaluation m eetings. 102 Second, the fact that the p re a d m issio n data group th em selv es into easily identifiable fa c to rs would seem to suggest that any college ad m issio n stan d ard should be based on a system of four o r five independent m e a s u r e s of an applicant* s potential. Each of these m e a s u r e s could be considered, in turn, in some s o r t of weighting schem e. Recommendations for F uture R e sea rch The exp lorato ry n atu re of this study su g g ests se v e ra l a r e a s which might yield profitable r e s u lts in future r e s e a r c h . F ir s t, the College of Education could p ro fit by the extension of the m ethods of group prediction used in this study to the a r e a of faculty decisions in ad m issio n s. That is , the c r i t e r i a used by v ario u s faculty m e m ­ b e rs resp o n sib le for ad m ission s screen in g in accepting o r rejecting an applicant m ight be considered. Another approach m ight be to apply the group prediction methods to o ther groups. F o r instance, the group of students who change th e ir sta tu s o r th e ir m a jo r during th e ir Master* s pro g ram might be examined. The a r e a of m e a s u r e s of gradu ate p erfo rm an c e also needs some new p ersp e c tiv e s. The relatio n sh ip of p e rs is te n c e to a ttritio n needs to be explored in o r d e r to form a b e tte r definition of a graduate 103 dropout. needed. B e tte r m e a s u r e s of academ ic p erfo rm ance a r e also The total grad e point av erag e o ffers too narro w a view of the total grad uate experience. Finally, the v a ria b le s relating to m obility and resid e n ce exhibited a consistently high relatio n sh ip with a ll of the c r i t e r i a in this study. Residence, y e a r s at resid en ce, born in o r out of state, graduated in or out of state, age, m a r ita l sta u s, and num ber of c o l­ leges attended for the B.A. all a r e m e a s u r e s of m obility o r resid en ce. These fa c to rs and o ther fac to rs relating to resid en ce mobility should be studied in relatio n sh ip to graduation and m e a s u r e s of g raduate p erfo rm an ce. It is hoped th at fu rth e r r e s e a r c h in these a r e a s will be of benefit to the C o l le g e of Education personnel concerned with the quality of the adm ission p ro g ram . FO O TN O TES E, G. Bogue, "Application of a Minimum Loss Decision Strategy in the Selection of Cutoff P oints in College and U niv ersity A dm issions, " College and U niversity, XLIII, No. 2 (Winter 1968), 131-141. 2 Donald W. Irvine, "Multiple P re d ic tio n of College Gradua tion from P re a d m is s io n Data, " Jo u rn a l of E x p erim en tal Education, XXXV, No. 1 (F a ll 1966), 84-89. 3 Lewis B. 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