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VI Ma~ema~dcs Programs In this chapter 115 research-doctorate programs in mathematics are assessed. These programs, according to the information supplied by their universities, have accounted for 2,731 doctoral degrees awarded during the FY1976-80 period--approximately 92 percent of the aggregate number of mathematics doctorates earned from U.S. universities in this five-year span. On the average, 35 full-time and part-time students intending to earn doctorates were enrolled in a program in December 1980, with an average faculty size of 33 members.2 The 115 programs, listed in Table 6.1, represent 114 different universities--two programs are included from the University of Maryland (College Park). All but six of the programs were initiated prior to 1970. In addition to the 114 universities represented in this discipline, another 3 were initially identified as meeting the criteria' for inclusion in the assessment: Idaho State University Lehigh University University of Northern Colorado Mathematics programs at these three institutions have not been included in the evaluations in this discipline, since in each case the study coordinator either indicated that the institution did not at that time have a research-doctorate program in mathematics or failed to provide the information requested by the committee. Before examining the individual program results presented in Table 6.1, the reader is urged to refer to Chapter II, in which each of the 16 measures used in the assessment is discussed. Summary data from the NRC's Survey of Earned Doctorates indicate that 2,958 research doctorates in mathematics were awarded by U.S. universities between FY1976 and FY1980. 2 See the reported means for measures 03 and 01 in Table 6.2. has mentioned in Chapter I, the primary criterion for inclusion was that a university had awarded at least 7 doctorates in mathematics during the FY1976-78 period. 95
96 statistics describing every measure are given in Table 6.2. For 10 of the measures, data are reported for at least 108 of the 115 mathematics programs. For measures 04-07, which pertain to characteristics of the program graduates, data are presented for 95 (or more) of the programs; the other 20 programs had too few graduates on which to base statistics.` For measure 12, a composite index of the size of a university library, data are available for 82 programs; for measure 14, total university expenditures for research in this discipline, data are available for 83 programs. With respect to the latter measure, it should be noted that reported data include expenditures for research in statistics as well as in mathematics. The programs not evaluated on measures 12 and 14 are typically smaller--in terms of faculty size and graduate student enrollment--than other mathematics programs. Were data on measures 12 and 14 available for all 91 programs, it is likely that the reported means for these measures would be appreciably lower (and that some of the correlations of these measures with others would be higher). Intercorrelations among the 16 measures (Pearson product-moment coefficients) are given in Table 6.3. Of particular note are the high positive correlations of the measures of the numbers of doctoral graduates and students (02, 03) with measures of publication records (15, 16) and reputational survey ratings (08, 09, and 11~. Figure 6.1 illustrates the relation between the mean rating of the scholarly quality of faculty (measure 08) and the number of faculty members (measure 01) for each of the 114 mathematics programs. Figure 6.2 plots the mean rating of program effectiveness (measure 09) against the total number of FY1976-80 program graduates (measure 02~. Although in both figures there is a significant positive correlation between program size and reputational rating, it is quite apparent that some of the smaller programs received high mean ratings and some of the larger programs received low mean ratings. Table 6.4 describes the 223 faculty members who participated in the evaluation of mathematics programs. These individuals constituted 64 percent of those asked to respond to the survey in this discipline and 6 percent of the faculty population in the 115 research-doctorate programs being evaluated.5 More than one-third of the survey participants were in the specialty area of analysis/functional analysis, and almost two-thirds were full professors. More than two-thirds had earned their highest degree prior to 1970. Several exceptions should be noted with regard to the survey evaluations in this discipline. In the initial survey mailing the list of faculty in the Brown University program included only applied mathematicians. At the request of the study coordinator at this Was mentioned in Chapter II, data for measures 04-07 are not reported if they are based on the survey responses of fewer than 10 FY1975-79 program graduates. 5 See Table 2.3 in Chapter II.
9 ~7 institution and a member of the study committee, the names of another 24 mathematics faculty members were added to the list, and revised survey forms that included the Brown program along with 11 other (randomly selected) mathematics programs were sent to 178 evaluators in this discipline. 6 The responses to the second survey were used to compute mean ratings for the Brown program. Another problem with the survey evaluations in mathematics involved the mislabeling of the location of an institution. In the program listing on the survey form, New Mexico State University at Las Cruces was identified as being located in Alamo~ordo, which has a junior college branch of the same institution. Since a large majority of faculty evaluators indicated that they were unfamiliar with this program and it is quite possible that some of them were misled by the inaccurate identi- fication of this institution, the committee has decided not to report the survey results for this program. Two other instances of mislabeling were called to the attention of the committee. The program at the Courant Institute was identified as "New York University--Mathematics," and the Wesleyan University program in the Department of Mathematics was called "Physical Sciences." The committee has decided in both instances to report the survey results but cautions that the reputational ratings may have been influenced by the use of inaccurate program titles on the survey form. To assist the reader in interpreting results of the survey evaluations, estimated standard errors have been computed for mean ratings of the scholarly quality of faculty in 114 mathematics programs (and are given in Table 6.1~. For each program the mean rating and an associated "confidence interval" of 1.5 standard errors are illustrated in Figure 6.3 (listed in order of highest to lowest mean rating). In comparing two programs, if their confidence intervals do not overlap, one may conclude that there is a significant difference in their mean ratings at a .05 level of significance.7 From this figure it is also apparent that one should have somewhat more confidence in the accuracy of the mean ratings of higher-rated programs than lower-rated programs. This generalization results primarily from the fact that evaluators are not as likely to be familiar with the less prestigious programs, and consequently the mean ratings of these programs are usually based on fewer survey responses. 6 See Chapter IX for a comparison of the "resurvey" results with the original survey ratings for these 11 other mathematics programs. 7 See pp. 29-31 for a discussion of the interpretation of mean ratings and associated confidence intervals.
98 TABLE 6.1 Program Meanures (Raw and Standardized Values) in Mathematics Prog No. University - Department/Academic Unit 001. Adelphi University Mathematics and Computer Science 002. Alabama, University of-Tuscaloosa Mathematics 003. Arizona, University of-Tucson Mathematics 004. Auburn University Mathematics 005. Boston University Mathematics 006. Bowling Green State University Mathematics and Statistics* 007. Brandeis University Mathematics 008. Brown University Mathematics and Applied Mathematics 009. CUNY~raduate School Mathematics 010. California Institute of Technology Mathematics 011. California, University of-Berkeley Mathematics 012. California, University of-Davis Mathematics 013. California, University of-Los Angeles Mathematics/Biomathematics 014. California, University of-Riverside Mathematics 015. California, University of-San Diego Mathematics 016. California, University of-Santa Barbara Mathematics 017. Carnegie-Mellon University Mathematics 018. Case Western Reserve University Mathematics and Statistics 019. Chicago, University of Mathematics 020. Cincinnati, University of Mathematics * indicates program was initiated since 1970. Prooram Size (01) (02) (03) 14 9 39 43 19 19 42 48 46 14 58 46 34 13 51 45 17 9 40 43 25 11 45 44 12 21 37 49 43 80 56 75 26 33 46 54 20 13 42 45 72 160 74 99 32 16 49 47 85 50 82 62 16 21 40 49 42 31 56 53 35 26 51 51 22 24 43 50 23 16 44 47 30 60 48 66 30 12 48 45 37 51 4 40 14 43 26 47 25 ~7 13 43 29 48 78 64 57 57 17 44 209 99 12 43 115 76 23 46 41 52 56 57 40 52 10 42 77 64 15 44 Character istics of Program Graduates (04) (05)(06)(07) .79.07 6138 .53.13 4542 .75.33 5856 .69.31 5554 .73.27 5752 .29 8.5 52 34 .25 7.8 50 40 .17 5.5 44 59 .15 7.0 43 46 .08 7.5 38 42 NA NA .14 5.5 42 59 .11 6.2 40 53 .06 7.0 37 46 .25 4.2 50 70 .30 5.7 53 57 .09 6.1 39 54 .15 6.1 43 54 .17 5.4 44 60 .14 5.8 42 57 .00 5.0 32 63 .35 7.5 57 42 .25 6.2 50 53 .30 4.8 53 65 .18 7.0 45 46 NA .80 61 .63 51 .42 38 .70 55 .72 56 .40 37 .71 56 .47 ~2 .71 56 .43 ~9 .74 58 NA .91 68 .36 35 NOTE: On the first line of data for every program, raw valuer for each measure are reported; on the second line values are reported in standardized form, with mean ~ 50 and standard deviation = 10. "NA. indicates that the value for a measure is not available. NA .40 60 .26 51 .10 39 .45 64 .45 63 .10 40 .37 58 .18 45 .49 66 .21 47 .33 56 NA .63 76 .18 45
99 TABLE 6.1 Program Measures (Raw and Standardized Values) in Mathematics University Research Published Survey Ratings Prog Survey ResultsLibrary support Articles Standard Error No. (08) (09) (10) (11) (12) (13) (14) (15)(16) (08) (09) (10) (11) 001. 0.9 0.7 NA 0.2 NA .00 NA 0 .20 .17 NA .04 33 35 35 31 3741 002. 1.1 0.4 1.1 0.2 -1.3 .05 NA 12 .13 .10 .10 .05 34 30 45 36 36 34 4142 003. 2.6 1.6 1.3 0.7 0.9 .28 294 30 .12 .11 .10 .07 50 50 58 49 58 48 46 4744 004. 1.9 1.1 1.1 0.4 NA .18 NA 23 .15 .13 .09 .06 42 42 47 41 42 4545 005. 1.7 0.8 1.2 0.3 -0.4 .18 151 6 .13 .13 .15 .05 40 36 52 38 46 42 44 3941 006. 1.3 0.6 NA 0.3 NA .16 NA 15 .15 .14 NA .06 3 7 34 39 41 4244 007. 3.8 2.1 0.8 1.1 NA .50 209 43 .07 .06 .08 .08 61 59 31 59 61 45 5153 008. 4.1 2.4 1.3 1.4 -1.1 .58 1214 43 .06 .06 .06 .06 64 64 57 66 39 66 58 5154 009. 3.5 1.9 0.9 1.0 NA .54 199 98 .08 .09 .07 .07 59 56 38 56 63 45 7058 010. 3.8 2.2 1.1 1.3 NA .45 212 47 .08 .07 .07 .06 62 62 46 63 58 45 5351 011. 4.9 2.7 1.2 1.6 2.2 .39 1292 141 .03 .05 .05 .06 72 71 50 71 71 54 59 8491 012. 2.3 1.4 1.1 0.4 0.6 .16 NA 22 .15 .14 .13 .06 46 48 45 41 55 41 4444 013. 4.0 2.3 1.3 1.3 2.0 .44 472 80 .06 .06 .06 .07 63 64 59 64 68 57 48 6465 014. 2.3 1.6 1.0 0.5 -1.0 .25 259 19 .14 .13 .08 .07 47 50 44 44 40 46 45 4343 015. 3.4 2.0 1.4 1.1 -0.0 .48 424 56 .08 .06 .08 .07 57 58 66 60 49 59 48 5661 016. 2.7 1.7 1.0 0.7 -0.1 .31 352 57 .11 .10 .10 .07 50 52 44 49 48 50 47 5653 017. 3.0 1.9 1.0 0.6 NA .59 664 35 .14 .11 .09 .07 53 5 7 44 45 66 51 4945 018. 2.6 1.5 1.1 0.8 - 1.3 .17 NA 20 .10 .10 .10 .07 50 50 49 51 36 42 4447 019. 4.8 2.7 1.0 1.5 0.9 .60 1119 69 .04 .05 .06 .05 71 70 42 68 58 67 56 6058 020. 1.9 1.2 1.3 0.5 -0.2 .20 NA 28 .12 .12 .11 .06 42 44 58 43 47 43 4644 NOTE: On the first line of data for every program, raw values for each measure are reported; on the second line values are reported in standardized form, with mean = 50 and standard- deviation ~ 10. GNAT indicates that the value for a measure is not available. Since the scale used to compute measure (16) is entirely arbitrary, only values in standardized form are reported for this measure.
100 TABLE 6.1 Program Measures (Raw and Standardized Values) in Mathematics Characteristics of Prog Program Size Program Graduates No. University - Department/Academic Unit (01) (02) (03) (04) (05) (06) (07) 021. Claremont Graduate School 15 6 11 .70 NA .20 .00 Mathematics 39 42 42 81 25 33 022. Clarkson College of Technology 17 4 16 NA NA NA NA Mathematics and Computer Science 40 41 44 023. Clemson University 28 12 19 NA NA NA NA Mathematical Sciences 4 7 45 45 024. Colorado State University-Fort Collins 30 11 23 .10 5.5 NA NA Mathematics 4 8 44 46 39 59 025. Colorado, University of 44 34 45 .17 7.0 .63 .30 Mathematics 5 7 55 53 44 46 51 53 026. Columbia University 19 30 46 .18 6.3 .56 .37 Mathematics 42 53 54 45 52 4 7 5 8 027. Connecticut, University of-Storrs 23 6 12 NA NA NA NA Mathematics 44 42 43 028. Cornell University-Ithaca 38 44 39 .27 5.3 .67 .35 Mathematics 53 59 51 51 61 54 57 029. Dartmouth College 19 16 13 .28 5.3 .71 .29 Mathematics 42 47 43 52 61 56 53 030. Delaware, University of-Newark 32 16 25 .17 9.5 .75 .17 Mathematical Sciences 49 47 47 44 25 58 44 031. Denver, University of 16 8 8 NA NA NA NA Mathematics and Computer Science 40 43 42 032. Duke University 21 16 21 .57 5.8 .50 .21 Mathematics 43 47 46 72 57 43 47 033. Emory University . 17 13 8 .50 6.5 .50 .08 Mathematics 40 45 42 67 51 43 38 034. Florida State University-Tallahassee 28 14 16 .25 5.9 .57 .07 Mathematics 47 46 44 50 56 48 38 035. Florida, University of-Gainesville . 34 18 41 .13 6.0 .38 .13 Mathematics 51 47 52 41 55 36 41 036. Georgia Institute of Technology 41 8 11 .30 7.2 .50 .30 Mathematics 55 43 42 53 45 43 53 037. Georgia, University of-Athens 23 12 10 .40 7.5 NA NA Mathematics 44 45 42 60 42 038. Harvard University 26 28 48 .72 5.3 .95 .65 Mathematics 46 52 54 83 61 71 78 039. Houston, University of 25 27 54 .29 7.8 .57 .21 Mathematics 45 51 56 53 39 48 47 040. Illinois Institute of Technology 6 11 17 .42 10.0 .67 .08 Mathematics 34 44 44 62 21 53 3 8 * indicates program was initiated since 1970. NOTE: On the first line of data for every program, raw values for each measure are reported; on the second line values are reported in standardized form, with mean = 50 and standard deviation = 10. "NA" indicates that the value for a measure is not available.
101 TABLE 6.1 Program Measures (Raw and Standardized Values) in Mathematics Prog No. 021. 022. 023. 024. 025. (08) 2.3 47 1.5 39 1.7 40 1.9 42 2.9 52 4.4 67 2.0 43 028.4.0 64 029.2.6 50 030.2.2 45 031.1.3 37 032.2.8 52 033.1.5 38 034.2.4 47 035.2.3 46 036.2.2 45 037.2.3 46 038.4.8 71 039.1.9 42 040.1.1 34 Survey Results (09) (10) 1.4 1.0 47 40 0.9 1.1 38 47 1.1 1.3 43 57 1.0 1.2 40 55 1.8 1.2 54 55 2.3 1.1 63 45 1.0 1.2 41 52 2.3 1.1 64 47 1.6 0.9 50 39 1.3 1.5 46 71 0.7 0.9 35 35 1.5 1.2 49 53 0.9 0.6 39 19 1.5 0.8 49 32 1.4 1.2 47 51 1.3 1.3 46 58 1.3 1.3 46 59 2.7 1.0 71 42 1.2 1.2 44 54 0.5 NA 32 Univers ity Library (11) (12) 0.6 NA 47 0.4 40 0.4 41 0.4 40 0.7 49 NA 1.3 1.7 64 66 0.5 -0.5 43 44 1.4 1.6 67 65 0.7 -1.1 49 38 0.7 NA 48 0.4 40 0.8 51 0.3 38 0.5 44 0.5 44 0.5 43 0.6 47 1.6 71 0.4 40 0.3 38 Research Support (13) (14) .40 NA 55 .41 152 56 44 NA.07 162 35 44 -1. 1.30 524 3849 49 -0.9.39 272 4154 46 .53 62 .22 44 .21 44 .21 44 .22 44 NA . 00 31 0.3 .52 53 62 -0.6 .24 43 45 -0 .4 .21 45 44 0.8 .12 57 38 NA .10 37 0.4 .48 53 60 3.0 .35 79 52 _o.g .08 41 36 NA NA Published Survey Ratings Articles Standard Error (15)(16) (08) (09) (10) (11) 4 .13 .12 .11 .07 3841 13 4142 16 4243 22 4443 54 5553 41 5160 16 4243 62 5863 9 4042 17 4343 3 38 39 50 14 42 20 44 43 51 39 50 42 51 51 54 24 45 12 41 .18 .13 .13 .16 .15 .09 .09 .08 470 48 138 44 528 49 NA 186 45 171 44 114 44 NA 702 51 157 44 596 50 607 50 789 52 216 45 NA 41 47 42 43 46 47 50 65 43 42 .10 .12 .06 .12 .06 .08 .07 .06 .06 .07 .06 .07 .11 .10 .09 .06 .05 .06 .06 .07 .11 .10 .07 .07 .13 .11 .11 .07 .16 .11 ~.08 .06 .09 .08 .11 .07 .15 .13 .15 .05 .11 .12 .12 .10 .12 .10 .09 .05 .05 .13 .11 .15 .15 NOTE: On the first line of data for every program, raw values for each measure are reported; on the second line values are reported in standardized form, with mean = 50 and standard deviation = 10. "NAT indicates that the value for a measure is not available. Since the scale used to compute measure (16) is entirely arbitrary, only values in standardized form are reported for this measure. .09 .06 .12 .06 .06 .11 .07 .05 .06 .10 .06 NA .05
102 TABLE 6.1 Program Measures (Raw and Standardized Values) in Mathematics Prog No. University - Department/Academic Unit 041. Illinois, University of~Chicago Circle Mathematics 042. Illinois, University-Urbana/Champaign Mathematics 043. Indiana University-Bloomington Mathematics 044. Iowa State University-Ames Mathematics 045. Iowa, University of-Iowa City Mathematics 046. Johns Hopkins University Mathematics 047. Kansas, University of Mathematics 048. Kent State University Mathematics * 049 . Kentucky, University of Mathematics 050. Louisiana State University-Baton Rouge Mathematics 051. Maryland, University of-College Park Appl fed Mathematics* 052. Maryland, University of-College Park Mathematics 053. Massachusetts Institute of Technology Mathematics 054 . Massachusetts, University of-Amberst Mat:hematics and Statistics 055. Michigan State University-East Lansing Mathematics 056. Michigan, University of-Ann Arbor Mathematics 057. Minnesota, University of Mathematics 058. Missouri, University of Columbia Mathematics 059. Missouri, University of-Rolla Mathematics 060. Montana, University of-Missoula Mathematics * indicates program was initiated since 1970. Program Size (01) (02) (03) 62 22 68 49 84 79 81 75 33 21 50 49 42 9 56 43 33 24 50 50 11 16 37 47 34 12 51 45 24 18 45 47 37 22 52 49 31 14 49 46 85 3 82 41 80 31 79 53 54 56 76 63 47 54 22 46 38 51 21 46 16 44 21 46 27 48 15 44 59 58 65 60 56 116 109 64 91 74 49 19 60 48 50 25 60 51 65 67 69 69 59 34 66 55 23 9 44 43 13 11 38 44 19 11 42 44 29 48 55 56 89 67 92 68 11 42 4 40 12 43 Characteristics of Program Graduates (04)(05) (06) (07) .327.4 5543 .156.7 4349 .236.4 4851 NANA .155.9 4356 .075.1 3762 .317.4 5443 .216.4 4752 .327.0 5446 .356.4 5751 NANA .237.1 4945 .424.8 6265 .136.0 4255 .265.8 5057 .325.9 5556 .395.9 6056 .146.5 4251 NANA NANA .50 .13 43 41 .74 .42 58 62 .77 .43 59 63 NA NA .35 .12 34 41 .62 .08 50 38 .31 .23 32 49 . 87 .27 65 51 .42 .11 39 40 .47 .24 42 49 NA NA .54 .14 46 43 .67 .42 53 62 .44 .26 39 51 .65 .32 52 55 .66 .42 53 62 .61 .28 50 52 .64 .29 52 52 NA NA NA NA NOTE: On the first line of data for every program, raw values for each measure are repor ted t on the second line values are reported in standardized form, with mean a 50 and standard deviation = 10. "NA. indicates that the value for a measure is not available.
103 TABLE 6.1 Program Measures (Raw and Standardized Values) in Mathematics University Research Published Survey Ratings Prog Survev Results Library Support Articles Standard Error No. (08) (09) (10) (11) (12) (13) (14) (15)(16) (08) (09) (10) (11) 041. 3.0 1.7 1.5 1.0 NA .32 883 49 .08 .07 .08 .07 54 52 71 56 50 53 5353 042. 4.0 2.3 1.1 1.3 2.0 .37 773 135 .06 .06 .06 .06 63 63 4 7 65 68 53 52 8272 043. 3.5 2.0 1.2 1.2 0.9 .55 344 40 .07 .04 .09 .06 58 58 51 62 58 64 47 5052 044. 2.1 1.2 1.0 0.5 -0.5 .07 2140 36 .13 .11 .08 .07 45 44 39 43 44 35 69 4944 045. 2.2 1.5 1.1 0.5 0.3 .36 NA 43 .12 .11 .07 .07 46 49 50 43 52 53 5150 046. 3.4 1.7 0.8 0.8 -0.4 .64 184 35 .12 .09 .08 .07 5 7 53 29 51 45 69 44 4956 047. 2.3 1.3 0.9 0.5 0.1 .24 109 44 .10 .10 .11 .06 46 46 39 44 50 45 44 5249 048. 1.8 1.1 1.2 0.5 -1.8 .25 NA 12 .14 .12 .11 .06 41 42 52 42 32 46 4142 049. 2.8 1.8 1.6 0.8 -0.1 .49 175 72 .10 .08 .08 .07 52 55 72 52 48 60 44 6157 050. 2.7 1.6 1.1 0.7 -0.3 .29 709 31 .10 .10 .12 .07 50 51 45 48 46 48 51 4745 051. 3.5 1.9 1.2 0.7 0.2 .44 382 93 .10 .10 .12 .08 58 56 52 47 51 57 47 6870 052. 3.5 2.0 1.3 1.2 0.2 .33 382 93 .09 .07 .08 .07 58 58 60 61 51 51 47 6870 053. 4.9 2.7 1.1 1.6 -0.3 .41 1289 126 .03 .06 .05 .05 72 70 50 71 46 56 59 7984 054. 2.7 1.7 1.3 0.8 -0.7 .31 158 36 .10 .08 .08 .06 50 52 58 51 42 49 44 4948 055. 2.7 1.7 1.2 0.9 0.3 .16 298 51 .09 .07 .07 .06 50 52 51 54 53 41 46 5449 056. 4.1 2.4 1.2 1.5 1.8 .29 844 75 .07 .07 .06 .06 64 65 50 70 67 49 53 6258 057. 3.9 2.2 1.2 1.2 1.2 .53 1207 73 .07 .07 .06 .07 62 62 54 62 61 62 58 6260 058. 1.7 0.9 1.0 0.5 - 0.2 .04 NA 24 .11 .11 .12 .06 41 39 40 43 47 34 4545 059. 1.1 0.9 0.9 0.3 NA .15 NA 22 .11 .14 .07 .06 35 38 36 39 40 4443 060. 1.2 0.6 1.1 0.3 NA .26 NA 0 .12 .12 .07 .05 35 34 48 38 47 3741 NOTE: On the first line of data for every program, raw values for each measure are reported: on the second lice values are reported in standardized form, with mean = 50 and standard deviation ~ 10. "NA" indicates that the value for a measure is not available. Since the scale used to compute measure (16) is entirely arbitrary, only values in standardized form are reported for this measure.
104 TABLE 6.1 Program Measures (Raw and Standardized Values) in Mathematics Prog No. University - Department/Academic Unit Program Size (01) (02) (03) (04) Characteristics of Program Graduates (05) (06) (07) 061. Nebraska, University of-Lincoln 34 16 16 .31 9.3 .75 .50 Mathematics and Statistics 51 47 44 54 27 58 6 7 062. New Mexico State University-Las Cruces 30 6 15 .50 8.0 .64 .18 Mathematical Sciences 48 42 44 67 38 52 45 063. New Mexico, University of-Albuquerque 29 11 25 .30 7.5 .90 .20 Mathematics and Statistics 4 8 44 4 7 53 42 6 7 4 7 064. New York University 37 70 91 .25 6.5 .77 .29 Mathematics (Courant Institute J 52 71 68 50 51 60 52 065. North Carolina State University-Raleigh 52 13 12 .13 7.0 .13 .07 Mathematics 62 45 43 42 46 21 3 7 066. North Carolina, University of-Chapel Hill 29 13 21 .50 5.8 .63 .19 Mathematics 4 8 45 46 6 7 56 51 46 067. Northeastern University 38 12 28 NA NA NA NA Mathematics 53 45 4 8 068. Northwestern University 39 29 31 .38 6.0 .62 .27 Mathematics 54 52 49 59 55 50 51 069. Notre Dame, University of 19 28 36 .19 5.8 .62 .43 Mathematics 42 52 50 46 57 51 62 070. Ohio State University-Columbus 55 45 97 .17 6.8 .50 .25 Mathematics 63 60 70 44 48 43 50 071. Ohio University-Athens 25 8 39 NA NA NA NA Mathematics * 45 43 51 072. Oklahoma State University-Stillwater 26 10 16 NA NA NA NA Mathematics 46 44 44 073. Oklahoma, University of-Norman 26 17 10 .21 8.2 .29 .14 Mathematics 46 47 42 47 36 30 43 074. Oregon State University-Corvallis 32 19 15 .11 9.8 .50 .22 Mathematics 49 48 44 40 23 43 48 075. Oregon, University of-Eugene 30 22 38 .35 7.3 .60 .30 Mathematics 48 49 51 57 44 49 53 076. Pennsylvania State University 45 23 42 .14 8.0 .64 .18 Mathematics 57 50 52 42 38 52 45 077. Pennsylvania, University of 31 23 24 .25 5.8 .60 .35 Mathematics 49 50 4 7 50 56 49 5 7 078. Pittsburgh, University of 34 11 37 .27 7.5 .82 .18 Mathematics and Statistics 51 44 51 51 42 63 45 079. Polytech Institute of New York 13 17 20 .17 8.6 .46 .04 Mathematics 38 47 45 44 33 41 36 080. Princeton University 25 63 49 .62 4.5 .89 .63 Mathematics 45 68 55 76 68 67 76 * indicates program was initiated since 1970. NOTE: On the first line of data for every program, raw values for each measure are reported; on the second line values are reported in standardized form, with mean = 50 and standard deviation = 10. "NA" indicates that the value for a measure is not available.
105 TABLE 6.1 Program Measures (Raw and Standardized Values) in Mathematics University Research Published Survey Ratings Prog Survey ResultsLibrary Support Articles Standard Error No. (08) (09) (10) (11) (12) (13)(14) (15)(16) (08) (09) (10) (11) 061. 1.8 1.0 1.1 0.4 -0.5 .18NA 23 .11 .10 .08 .05 42 41 48 40 44 42 4543 062. NA NA NA NA NA .131049 16 NA NA NA NA 3956 4245 063. 2.1 1.3 1.0 0.6 -1.0 .17110 23 .15 .12 .09 .07 45 45 40 47 40 4144 4543 064. 4.5 2.6 0.9 1.4 0.5 .433788 67 .07 .06 .07 .07 69 68 34 66 54 5790 5970 065. 2.1 1.2 1.3 0.4 NA .15637 64 .11 .12 .10 .05 44 44 58 41 4050 5846 066. 3.0 1.7 1.3 1.0 1.0 .484356 25 .08 .08 .09 .07 53 53 56 56 59 6098 4547 067. 2.5 1.4 1.4 0.6 NA .26114 15 .12 .12 .11 .06 48 48 64 45 4744 4245 068. 3.5 2.0 1.2 1.2 0.3 .77367 74 .06 .05 .06 .07 58 57 51 61 52 7747 6255 069. 2.7 1.7 1.0 0.7 -1.3 .42154 23 .11 .08 .10 .06 51 53 42 49 36 5644 4544 070. 3.0 1.8 1.2 1.0 0.9 .36662 76 .09 .08 .10 .07 53 55 53 56 58 5351 6353 071. 1.3 0.6 1.1 0.3 NA .00152 15 .14 .12 .05 .06 3 7 33 45 39 3144 4242 072. 1.7 1.0 1.2 0.5 -1.9 .23NA 12 .13 .13 .10 .07 40 41 50 43 30 45 4144 073. 2.0 1.2 1.2 0.5 -0.6 .39NA 28 .14 .12 .12 .06 44 44 52 42 44 54 4646 074. 2.4 1.5 1.2 0.6 NA .31345 15 .10 .11 .10 .07 47 48 54 46 5047 4243 075. 2.9 1.8 1.1 0.7 -0.9 .27125 29 .10 .11 .06 .07 53 54 48 50 40 4744 4745 076. 3.0 1.8 1.4 1.0 0.7 .42254 82 .09 .07 .07 .08 53 55 64 56 56 5645 6557 077. 3.7 2.1 0.9 1.1 0.7 .42480 30 .07 .06 .06 .07 60 59 39 59 56 5648 4753 078. 2.5 1.7 1.2 0.6 0.1 .291113 34 .09 .08 .08 .06 48 52 52 45 50 4956 4846 079. 2.1 1.2 NA 0.4 NA .15NA 25 .16 .20 NA .05 44 44 40 40 4544 080. 4.9 2.8 1.1 1.6 0.9 .601389 91 .03 .04 .03 .05 73 73 45 73 58 6760 6878 NOTE: On the first line of data for every program, raw values for each measure are reported; on the second line values are reported in standardized form, with mean = 50 and standard deviation = 10. "NA" indicates that the value for a measure is not available. Since the scale used to compute measure (16) is entirely arbitrary, only values in standardized form are reported for this measure.
106 TABLE 6.1 Program Measures (Raw and Standardized Values) in Mathematics Characteristics of Prog Proaram Size Program Graduates No. University - Department/Academic Unit (01) (02) (03) (04) (05) (06) (07) 081. Purdue University-West Lafayette 57 28 30 .19 6.4 .56 .28 Mathematics 65 52 49 46 52 47 52 082. Rensselaer Polytechnic Institute 29 18 20 .29 5.3 .88 .50 Mathematical Sciences 48 47 45 53 61 66 67 083. Rice University 14 9 11 .25 4.9 .42 .17 Mathematics 39 43 42 50 64 38 44 084. Rochester, University of 26 23 26 .29 6.9 .67 .05 Mathematics 46 50 4 7 52 4 7 53 36 085. Rutgers, The State University-New Brunswick 65 57 85 .15 5.4 .55 .33 Mathematics 69 65 66 43 60 46 56 086. SUNY at Albany 28 6 47 NA NA NA NA Mathematics and Statistics 47 42 54 087. SUNY at Binghamton 17 9 28 .20 7.5 .80 .20 Mathematical Sciences 40 43 48 46 42 61 47 088. SUNY at Buffalo 36 29 45 .17 6.9 .59 .31 Mathematics 52 52 53 44 47 49 54 089. SUNY at Stony Brook 31 35 60 .18 5.5 .61 .39 Mathematics 49 55 58 45 59 50 59 090. Saint Louis University 7 12 29 .00 6.5 .73 .00 Mathematical Sciences 34 45 48 32 51 57 33 091. South Carolina, University of~Columbia 28 13 13 .14 6.3 .57 .07 Mathematics and Statistics 47 45 43 42 53 48 38 092. South Florida, University of-Tampa 26 16 11 .00 7.3 .73 .27 Mathematics* 46 47 42 32 44 57 52 093. Southern California, University of 29 12 12 NA NA NA NA Mathematics 48 45 43 094. Southern Illinois University-Carbondale 31 9 10 NA NA NA NA Mathematics 49 43 42 095. Stanford University 26 48 51 .49 5.4 .82 .57 Mathematics 46 61 55 67 60 62 72 096. Stevens Institute of Technology 12 19 25 .28 10.2 .75 .19 Pure and Appl fed Mathematics 37 48 47 52 19 58 46 097. Syracuse University 28 13 17 .17 6.5 1.00 .33 Mathematics 47 45 44 44 51 73 56 098. Temple University 35 24 15 .09 7.4 .38 .19 Mathematics 51 50 44 39 43 36 46 099. Tennessee, University of-Knoxville 28 14 34 .25 7.3 .75 .08 Mathematics 47 46 50 50 44 58 38 100. Texas Tech University-Lubbock 32 14 11 .07 7.5 .64 .07 Mathematics 49 46 42 37 42 52 38 * indicates program was initiated since 1970. NOTE: On the first line of data for every program, raw values for each measure are reported; on the second line values are reported in standardized form, with mean ~ 50 and standard deviation = 10. "NA" indicates that the value for a measure is not available.
107 TABLE 6.1 Program Measures (Raw and Standardized Values) in Mathematics University Research Published Survey Ratings Prog Survey ResultsLibrarv Support Articles Standard Error No. (08) (09) (10) (11) (12) (13)(14) (15)(16) (08) (09) (10) (11) 081. 3.4 2.1 1.1 1.2 -0.5 .67167 68 .06 .05 .05 .06 58 59 49 61 44 7144 6067 082. 2.7 1.7 1.1 0.6 NA .48355 17 .16 .12 .10 .07 51 52 48 45 6047 4343 083. 3.4 2.0 1.1 1.0 -1.4 .57273 31 .10 .07 .08 .07 57 59 48 56 35 6546 4751 084. 2.7 1.7 1.1 0.8 -0.6 .42194 11 .09 .07 .07 .06 51 53 45 51 43 5645 4142 085. 3.6 2.0 1.4 1.3 0.8 .391050 84 .07 .05 .08 .06 59 59 64 63 57 5456 6567 086. 2.4 1.5 1.2 0.6 -1.0 .39152 20 .13 .11 .13 .07 48 50 51 47 40 5544 4446 087. 1.7 1.1 1.1 0.5 NA .41NA 6 .13 .14 .14 .07 41 41 47 44 56 3941 088. 2.7 1.7 1.1 0.9 0.3 .39356 50 .08 .10 .10 .07 51 52 46 53 52 5447 5448 089. 3.7 2.0 1.3 1.1 -0.6 .39725 40 .08 .07 .08 .07 61 59 59 60 43 5451 5059 090. 0.7 0.5 NA 0.2 NA NANA 3 .17 .18 NA .05 31 31 36 3841 091. 1.8 0.9 1.4 0.4 -0.4 .25211 23 .13 .09 .09 .06 41 39 61 41 46 4645 4545 092. 1.5 0.9 1.3 0.5 NA . 08103 12 .14 .14 .09 . 07 38 39 57 43 3643 4142 093. 2.8 1.6 1.1 0.9 0.4 .35227 47 .10 . 10 .09 . 07 52 51 46 54 53 5245 5347 094. 1.5 0.8 1.2 0.5 - 0.2 .10NA 30 .11 .10 .11 .06 39 36 50 42 47 37 4743 095. 4.6 2.6 1.0 1.4 2.0 .542697 64 .05 .06 .07 .06 69 69 44 68 69 6377 5869 096. 1.2 0.8 NA 0.2 NA .33NA 4 .14 .16 NA .04 35 38 36 51 3841 097. 2.3 1.4 0.9 0.6 -0.3 .14NA 22 .10 .13 .06 .06 47 47 34 46 46 40 4444 098. 2.4 1.3 1.2 0.6 - 0.4 .14NA 35 .11 .11 .11 .06 i 7 45 53 45 45 40 4946 099. 2.1 1.4 1.3 0.4 -0.4 .25NA 50 .14 .14 .12 .07 44 47 60 42 45 46 5448 100. 1.7 1.0 1.4 0.5 NA .16122 23 .13 .13 .11 .06 40 40 64 42 4144 4543 NOTE: On the first line of data for every program, raw values for each measure are reported; on the second line values are reported in standardized form, with mean = 50 and standard deviation = 10. "NA" indicates that the value for a measure is not available. Since the scale used to compute measure (16) is entirely arbitrary, only values in standardized form are repot ted for this measure.
108 TABLE 6.1 Program Measures (Raw and Standardized Values) in Mathematics Characteristics of Prog Program Size Program Graduates No. University - Department/Academic Unit (01) (02) (03) (04) (05) (06) (07) 101. Texas, University of-Arlington 23 16 23 NA 5.5 NA NA Mathematics* 44 47 46 59 102. Texas, University of-Austin 57 20 42 .16 7.3 .52 .13 Mathematics 65 48 52 44 44 45 42 103. Tulane University 27 17 30 .33 6.0 .60 .25 Mathematics 46 47 49 56 55 49 50 104. Utah, University of-Salt Lake City 53 24 21 .24 6.7 .79 .54 Mathematics 62 50 46 49 49 61 70 105. Vanderbilt University 19 16 16 .26 6.4 .72 .28 Mathematics 42 47 44 51 51 57 52 106. Virginia Polytechnic Institute & State Univ 36 9 25 .20 NA .80 .20 Mathematics 52 43 4 7 46 61 4 7 107 . Virginia, University of 26 16 31 .50 5.8 .47 .16 Mathematics 46 47 49 67 57 42 44 108. Washington University-Saint Louis 21 14 32 .32 6.8 .47 .11 Mathematics 43 46 49 54 49 42 40 109. Washington, University of-Seattle 57 31 27 .23 6.3 .52 .20 Mathematics 65 53 48 49 53 45 47 110. Wayne State University 46 12 16 .29 7.3 .50 .15 Mathematics 5 8 45 44 52 44 43 43 111. Wesleyan University 14 12 7 .17 6.0 .39 .08 Mathematics 39 45 41 44 55 36 38 112. Western Michigan University 32 9 7 NA NA NA NA Mathematics 49 43 41 113. Wisconsin, University of-Madison 61 76 174 .23 6.3 .67 .33 Mathematics 67 73 94 48 52 54 55 114. Wisconsin, University of-Milwaukee 21 17 9 .20 7.0 .45 .10 Mathematical Sciences 43 47 42 46 46 40 40 115. Yale University 22 43 39 .65 4.9 .42 .27 Mathematics 43 59 51 78 64 38 51 * indicates program was initiated since 1970. NOTE: On the f irst line of data for every program, raw values for each measure are reported; on the second line values are reported in standardized form, with mean = 50 and standard deviation = 10. "NA" indicates that the value for a measure is not available.
109 TABLE 6.1 Program Measures (Raw and Standardized Values) in Mathematics University Research Published Survey Ratings Prog Survey Results Library Support Articles _Standard Error No. (08) (09) (10) (11) (12) (13) (14) (15) (16) (08) (09) (10) (11) 101. 1.7 0.9 1.4 0.5 NA .04 NA . 0 .14 .11 .10 .07 40 39 65 43 34 37 41 102. 3.3 1.8 1.6 1.1 1.6 .58 390 69 .09 .07 .07 .06 56 55 74 58 65 66 47 60 53 103. 2.7 1.7 1.1 0.8 -1.0 .56 172 20 .09 .09 .08 .07 50 53 45 52 39 64 44 44 44 104. 3.2 1.7 1.7 1.1 -0.6 .28 353 39 .10 .10 .07 .07 55 53 80 60 43 48 47 50 48 105. 2.0 1.2 1.1 0.5 -0.7 .11 NA 24 .14 .12 .08 .07 44 44 50 43 42 38 45 43 106. 2.3 1.4 1.4 0.6 -0.0 .22 490 51 .14 .13 .10 .07 47 47 64 45 49 44 48 54 49 107. 3.0 1.8 0.8 0.8 0.7 .42 148 27 .10 .11 .08 .07 53 55 30 52 56 56 44 46 45 108. 3.1 1.8 1.1 0.9 -0.4 .48 210 22 .09 .09 .10 .07 55 55 45 52 45 59 45 44 45 109. 3.6 2.0 1.3 1.2 1.5 .46 808 42 .07 .07 .07 .07 59 59 59 61 63 58 52 51 57 110. 2.2 1.2 1.2 0.6 -0.4 .24 141 34 .10 .12 .12 .06 45 44 55 46 46 45 44 48 47 111. 1.9 1.1 1.1 0.5 NA .29 NA 9 .15 .13 .08 .07 42 43 50 42 48 40 42 112. 1.1 0.6 1.1 0.3 NA .06 NA 11 .14 .13 .12 .05 35 33 47 38 35 41 42 113. 4.2 2.4 1.1 1.6 1.6 .48 3582 140 .07 .06 .07 .06 65 66 45 72 64 59 88 84 75 114. 1.6 1.0 1.0 0.4 NA .10 NA NA .14 .13 .12 .06 40 41 42 40 37 NA 115. 4.5 2.5 1.1 1.4 2.1 .50 558 58 .06 .07 .06 .06 69 67 49 68 70 61 49 56 56 NOTE: On the first line of data for every program, raw values for each measure are reported; on the second line values are reported in standardized form, with mean = 50 and standard deviation = 10. ANAL indicates that the value for a measure is not available. Since the scale used to compute measure (16) is entirely arbitrary, only values in standardized form are reported for this measure.
110 TABLE 6.2 Summary Statistics Describing Each Program Measure--Mathematics Number of Programs Standard D E C I L E S Measure Evaluated Mean Deviation1 2 3 4 5 6 7 89 Program Size 01 Raw Value 115 33 1716 19 24 26 29 32 35 4357 Std Value 115 50 1040 42 45 46 48 49 51 5665 02 Raw Value 115 24 229 11 12 14 16 19 24 2947 Std Value 115 50 1043 44 45 46 47 48 50 5260 03 Raw Value 115 35 3111 13 16 21 25 30 39 4771 Std Value 115 50 1042 43 44 46 47 49 51 5462 Program Graduates 0 4 Raw Value 98 .25 .14. 10 .14 .17 .19 .23 .26 .29 .32.43 Std Value 98 50 1039 42 44 46 49 51 53 5563 05 Raw Value 97 6.6 1.28.0 7.5 7.1 6.8 6.4 6.2 5.9 5.65.3 Std Value 97 50 1038 42 46 48 51 53 56 5861 06 Raw Value 95 .61 .17 .39 .47 .50 .57 .62 .66 .71 .75 .80 Std Value 95 50 10 37 42 44 48 51 53 56 58 61 07 Raw Value 95 .25 .15 .07 .11 .16 .19 .23 .27 .30 .35 .44 Std Value 95 50 10 38 41 44 46 49 51 53 57 63 Survey Results 08 Raw Value 114 2.7 1.0 1.4 1.7 2.0 2.3 2.5 2.7 3.0 3.5 4.1 Std Value 114 50 10 38 41 44 47 49 50 53 58 64 09 Raw Value 114 1.6 .6 .8 1.0 1.2 1.4 1.5 1.7 1.8 2.0 2.3 Std Value 114 50 10 37 40 44 47 49 53 54 58 63 10 Raw Value 108 1.2 .2 .9 1.0 1.1 1.1 1.1 1.2 1.2 1.3 1.4 Std Value 108 50 10 36 42 47 47 47 53 53 58 64 11 Raw Value 114 .8 .4 .3 .4 .5 .5 .6 .8 1.0 1.2 1.4 Std Value 114 50 10 38 41 43 43 46 51 56 61 66 University Library 12 Raw Value82 .1 1.0 -1.1 -.9 -.5 -.4 -.2 .2 .5 .9 1.6 Std Value82 50 10 38 40 44 45 47 51 54 58 65 Research Support 13 Raw Value113 .32 .17 .09 .16 .21 .25 .30 .38 .42 .48 .54 Std Value113 50 10 36 41 44 46 49 54 56 59 63 14 Raw Value83 616 783 139 158 193 255 353 461 610 797 1212 Std Value83 50 10 44 44 45 45 47 48 50 52 58 Publication Records 15 Raw Value 114 39 30 10 15 20 24 30 39 46 59 76 Std Value 114 50 10 40 42 44 45 47 50 52 57 63 16 Std Value 114 50 10 42 43 43 45 46 48 52 57 65 NOTE: Standardized values reported in the preceding table have been computed from exact values of the mean and standard deviation and not the rounded values reported here. Since the scale used to compute measure 16 is entirely arbitrary, only data in standardized form are reported for this measure.
111 TABLE 6.3 Intercorrelations Among Program Measures on 115 Programs in Mathematics Measure 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 Program Size 01 .50 .61 -.13 .10 -.02 .25 .48 .47 .43 .51 .44 .18 .18 .73 .63 02 .85 .08 .31 .18 .46 .70 .68 .01 .72 .45 .35 .41 .75 .81 03 .02 .23 .20 .37 .64 .64 .07 .67 .50 .35 .44 .78 .78 Program Graduates 04 .14 .07 .21 .30 .30 -.22 .28 .31 .23 .29 .04 .15 05 .05 .41 .57 .56 -.28 .53 .24 .36 .17 .30 .40 06 .57 .19 .19 -.05 .23 .14 .07 .23 .03 .16 07 .63 .61 -.03 .62 .39 .28 .22 .38 .50 Survey Results 08 .98 -.01 .96 .65 .70 .42 .75 .83 09 -.01 .94 .63 .71 .42 .74 .80 10 .06 .05 .00 -.12 .13 .05 11 .66 .66 .43 .75 .83 university Library 12 .32 .33 .60 .59 Research Support 13 14 Publication Records 15 16 .18 .46 .51 .35 .42 .90 NOTE: Since in computing correlation coefficients program data must be available for both of the measures being correlated, the actual number of programs on which each coefficient is based varies.
112 5 . 0++ + 4 . 0++ + + Measure + 3.0++ 08 + + 2 . 0++ + + + + 1.0++ r ~ .48 + * + * C.O +/++++++++++/++++++++++/++++++++++/++++++++++/++++++++++/++++++++++/++++++++++/++++++++++/++++++++++/ 1 4 9 16 25 36 49 64 81 100 * * * * * * * * * * * * * * * * * * * * * * * * * * * ** * * * * ** * * * * * * * * * * * ** ** * * * * * * * * * ** * * ** * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * Measure 01 (square root scale) FIGURE 6.1 Mean rating of scholarly quality of faculty (measure 08) versus number of faculty members (measure 01)--114 programs in mathematics.
113 3 . 0++ + 2 . 0 ++ Measure 09 * * * * 1. 0++ * * + * * + * * + + * * * * * * * * * . * * * * * * * * * * * * * * * * * **** ****** * * * * *** * ** * ** ** * * ** * * * ** ** * * * * * * * * ** * * * ** * * ~ * * * * r ~ .74 O.O +/+++++++/+++++++/+++++++/+++++++/+++++++/+++++++/+++++++/+++++++/+++++++/+++++++/+++++++/+++++++/ 1 4 9 16 25 36 49 64 81 100 121 144 169 Measure 02 ( square root scale) FIGURE 6.2 Mean rating of program effectiveness in educating research scholars/scientists (measure 09) versus number of graduates in last f ive years (measure 02) --114 programs in mathematics.
114 TABLE 6.4 Characteristics of Survey Participants in Mathematics Respondent s N F~io~ % Algebra2 511 Analysis/Functional Analysis8136 Applied Mathematics3114 Geometry125 Topology3 516 Other/Unknown3918 Faculty Rank Professor14163 Associate Professor6630 Assistant Professor167 ., Year of Highest Degree Pre-1950167 1950-594219 1960-699643 Post-19696529 Unknown42 Evaluator Selection Nominated by Institution18985 Other3415 Survey Form With Faculty Names19889 Without Names2511 Total Evaluators223100
5.0 4.0 3.0 2.0 1.0 0.0 Mean Survey Rating (Measure 08) FIGURE 6.3 Mean rating of scholarly quality of faculty in 114 programs in mathematics. NOTE: Programs are listed in sequence of mean rating, with the highest-rated program appearing at the top of the page. The broken lines (---) indicate a confidence interval of +1.5 standard errors around the reported mean (x) of each program.
