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An Assessment of Research-Doctorate Programs in the United States: Mathematical and Physical Sciences (1982)
National Research Council (NRC)

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am S~Us~dcs/BiostadsJdcs Programs In this chapter 64 research-doctorate programs in statistics/ biostatistics are assessed. These programs, according to the information supplied by their universities, have accounted for 906 doctoral degrees awarded during the FY1976-80 period--approximately 87 percent of the aggregate number of statistics/biostatistics doctorates earned from U.S. universities in this five-year span. On the average, 22 full-time and part-time students intending to earn doctorates were enrolled in a program in December 1980, with an average faculty size of 12 members.2 The 64 programs, listed in Table 8.1, represent 58 different universities. The University of Michigan (Ann Arbor), University of Minnesota, North Carolina State University (Raleigh), University of North Carolina (Chapel Hill), University of Pittsburgh, and Yale University each have one statistics program and one biomedical program (i.e., biostatistics, biometry, biomathematics, epidemiology, or public health) included in the assessment. All but nine of the programs were initiated prior to 1970. In addition to the 58 universities represented in this discipline, another 5 were initially identified as meeting the criteria' for inclusion in the assessment: Dartmouth College University of Illinois--Chicago Circle New York University University of Northern Colorado University of South Carolina Statistics/biostatistics programs at these five institutions have not been included in the evaluations in thin discipline, since in each data from the NRC's Survey of Earned Doctorates indicate that 1,038 research doctorates in statistics/biostatistics were awarded by U.S. universities between FY1976 and FY1980. 2 See the reported means for measures 03 and 01 in Table 8.2. 3As mentioned in Chapter I, the primary criterion for inclusion was that a university had awarded at least 5 doctorates in statistics/ biostatistics during the FY1976-78 period. 141

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142 case the study coordinator either indicated that the institution did not at that time have a research-doctorate program in statistics/ biostatistics or failed to provide the information requested by the committee. Before examining the individual program results presented in Table 8.1, the reader is urged to refer to Chapter IT, in which each of the 16 measures used in the assessment is discussed. Summary statistics describing every measure are given in Table 8.2. For nine of the measures, data are reported for at least 61 of the 64 statistics/ biostatistics programs. For measures 04-07, which pertain to characteristics of the program graduates, data are presented for only 36 of the programs; the other 28 had too few graduates on which to base statistics.4 For measure 12, a composite index of the size of a university library, data are available for 50 programs; for measure 13, the fraction of faculty with research support from the National Science Foundation, the National Institutes of Health, or the Alcohol, Drug Abuse, and Mental Health Administration, data are reported for 37 programs that had at least 10 faculty members. As mentioned in Chapter II, data are not available on total university expenditures for research in the area of statistics and biostatistics--measure 14. Intercorrelations among the 15 measures (Pearson product-moment coefficients) are given in Table 8.3. Of particular note are the high positive correlations of the measures of the numbers of faculty and doctoral graduates (01, 02) with measures of publication records (15, 16) and reputational survey ratings (08, 09, and 11~. Figure 8.1 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 63 statistics/biostatistics programs. Figure 8.2 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 8.4 describes the 135 faculty members who participated in the evaluation of statistics/biostatistics programs. These individ- uals constituted 71 percent of those asked to respond to the survey in this discipline and 17 percent of the faculty population in the 64 research-doctorate programs being evaluated.S More than one-third of the survey participants were mathematical statisticians and 16 percent were biostatisticians. More than half of them held the rank of full professor; almost two-thirds had earned their highest degree prior to 1970. 4 As 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 TI.

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143 Two exceptions should be noted with regard to the survey evaluations in this discipline. The biostatistics program in the School of Public Health at the University of Michigan (Ann Arbor) was omitted on the survey form because at the time of the survey mailing no information on this program had been provided by the institution. At the request of the study coordinator at this university, the program has been included in all other aspects of the assessment. Shortly after the survey mailing it was called to the committee's attention that the name of a faculty member in the statistics program at the University of Rochester was not included on the survey form. The department chairman at this university contacted other department chairmen in the discipline informing them of this omission. 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 63 statistics/ biostatistics programs (and are given in Table 8.11. For each program the mean rating and an associated "confidence interval" of 1.5 standard errors are illustrated in Figure 8.3 (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.6 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. programs. This 6 See pp. 29-31 for a discussion of the interpretation of mean ratings and associated confidence intervals.

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144 TABLE 8.1 Program Measures (Raw and Standardized Values) in Statistics/Biostatistics Characteristics of Prog Program Size Program Graduates No. University - Department/Academic Unit (01) (02) (03) (04) (05) (06) (07) 001. American University 6 12 21 NA NA NA NA Mathematics, Statistics, and Computer Sci 40 47 50 002. Boston University 6 9 15 NA NA NA NA Mathematics 40 44 46 003. California, University of-Berkeley 24 50 69 .12 6.3 .80 .43 Statistics 68 85 75 40 53 52 50 004. California, University of-Los Angeles 19 15 27 .63 6.5 .67 .50 Public Health/Mathematics 60 50 53 65 51 40 55 005. California, University of-Riverside 9 13 21 NA NA NA NA Statistics* 45 48 50 006. Carnegie-Mellon University 14 7 23 NA NA NA NA Statistics 52 42 51 007. Case Western Reserve University 9 NA 3 NA NA NA NA Biometry * 45 40 008. Chicago, University of 12 11 7 .50 6.0 NA NA Statistics 49 46 42 59 55 009. Colorado State University-Fort Collins 15 12 13 NA NA NA NA Statistics 54 4 7 45 010. Columbia University 17 17 34 .19 6.5 .80 .47 Mathematical Statistics 5 7 52 5 7 44 51 52 53 011. Connecticut, University of-Storrs 8 2 9 NA NA NA NA Statistics 43 37 43 012. Cornell University-Ithaca 24 3 8 .32 5.3 .96 .55 Statistics 68 38 43 50 61 66 59 013. Delaware, University of-Newark 6 NA 8 NA NA NA NA Applied Sciences* 40 43 014. Florida State University-Tallahassee 14 28 38 .55 6.7 .77 .57 Statistics 52 63 59 61 50 49 60 015. Florida, University of-Gainesville 18 8 39 .09 5.0 .73 .46 Statistics 58 43 59 39 63 45 52 016. George Washington University 3 12 42 .33 12.0 .67 .08 Statistics 36 47 61 51 8 40 24 017. Georgia, University of-Athens 7 22 15 .10 8.5 .81 .29 Statistics and Computer Science 42 57 46 39 36 53 39 018. Harvard University 7 16 14 .50 6.1 .94 .59 Statistics 42 51 46 59 54 64 62 019. Illinois, University-Urbana/Champaign 13 1 3 NA NA NA NA Mathematics 51 36 40 020. Indiana University-Bloomington 2 6 9 .20 6.0 .70 .60 Mathematics 34 41 43 44 55 43 63 * 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. NINA" indicates that the value for a measure is not available.

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145 TABLE 8.1 Program Measures (Raw and Standardized Values) in Statistics/Biostatistics UniversityResearch 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.d 0.90.2 NA NA NA 0 .12 .10 .10 .04 30 28 4531 3940 002. 1.4 0.8 1.00.4 - 0.4 NA NA 2 .14 .13 .07 .06 35 37 483B 42 4043 003. 4.9 2.6 1.31.8 2.2 .54 NA 52 .04 .06 .06 .04 72 70 5970 65 66 8687 004. 3.7 2.0 1.11.3 2.0 .32 NA 3 .08 .06 .06 .06 59 58 5258 63 53 4141 005. 2.4 1.3 1.60.8 - 1.0 NA NA 4 .08 .08 .08 .06 46 46 6947 36 4243 006. 3.5 2.0 1.61.3 NA .29 NA 9 .07 .06 .06 .06 57 58 7158 52 4746 007. 1.6 0.9 0.60.4 -1.3 NA NA 0 .14 .11 .12 .06 3 7 3 7 3436 33 3940 008. 4.7 2.3 1.21.5 0.9 .42 NA 25 .05 .06 .05 .06 70 65 5665 53 59 6158 009. 3.2 1.9 1.11.2 -1.1 .33 NA 15 .07 .06 .06 .06 54 56 5255 35 54 5249 010. 3.8 2.0 1.01.3 1.7 .47 NA 16 .07 .06 .07 .07 61 58 4859 61 62 5357 011. 2.1 1.1 1.00.9 -0.5 NA NA 3 .10 .10 .06 .06 43 42 4949 41 4141 012. 4.0 2.2 1.01.5 1.6 .25 NA 30 .08 .07 .07 .06 62 62 4863 60 50 6666 013. 1.8 0.7 1.30.6 NA NA NA 8 .13 .10 .10 .06 39 34 5741 4646 014. 3.8 2.2 1.01.4 -0.4 .14 NA 18 .07 .05 .07 .06 61 62 4861 41 44 5555 015. 2.4 1.4 1.10.9 0.8 .00 NA 23 .09 .08 .08 .06 45 47 5349 52 36 6056 016. 2.6 1.3 0.41.0 NA NA NA 3 .11 .09 .07 .06 48 46 2651 4141 017. 1.7 1.0 1.10.7 0.4 NA NA 11 .11 .09 .10 .06 39 39 5244 49 4946 018. 4.0 1.9 1.01.4 3.0 NA NA 13 .08 .06 .06 .05 62 56 4962 73 5049 019. 3.4 1.6 1.21.0 2.0 .46 NA 20 .11 .11 .06 .07 57 50 5351 63 62 5764 020. 1.7 0.8 0.60.9 0.9 NA NA 10 .15 .10 .08 .07 39 36 3449 54 4849 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 z 50 and standard deviation a 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.

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146 TABLE 8.1 Program Measures (Raw and Standardized Values) in Statistics/Biostatistics Characteristics of Prog Program Size Program Graduates No. University - Department/Academic Unit (01) (02) (03) (04) (05)(06) (07) 021. Iowa State University-Ames 19 38 40 .16 6.5.84 .36 Statistics 60 73 60 42 5155 45 022. Iowa, University of-Iowa City 13 13 15 .40 6.5.60 .30 Statistics 51 48 46 54 5134 41 023 . Johns Hopkins University 9 15 10 .82 7.0. 82 . 47 Biostatistics 45 50 44 75 4854 53 024 . Kansas State University-Manhattan 13 12 12 .21 7. 5.71 .36 Statistics 51 47 45 45 4444 45 025. Kentucky, University of 9 16 19 .27 6.3 .80 .40 Statistics 45 51 49 48 53 52 48 026. Maryland, University of-College Park 8 5 14 NA NA NA NA Mathematics* 43 40 46 027. Michigan State University-East Lansing 15 12 14 NA NA NA NA Statistics and Probability 54 47 46 028. Michigan, University of-Ann Arbor 13 11 28 NA NA NA NA Biostatistics (School of Public HealthJ 51 46 53 029 . Michigan, University of-Ann Arbor 13 14 20 .36 6.0 1.00 . 55 Statistics 51 49 49 52 55 70 59 030. Minnesota, University of 7 11 7 NA 8.0 .91 .46 Biometry 42 46 42 40 61 52 031. Minnesota, University of 15 12 12 .22 6.5 .72 .50 Statistics 54 47 45 45 51 45 55 032. Missouri, University of-Columbia 11 9 10 NA NA NA NA Statistics 48 44 44 033. Missouri, University of-Rolla 4 4 5 NA NA NA NA Statistics 3 7 39 41 034. New Mexico, University of-Albuquerque 8 10 6 NA NA NA NA Mathematics and Statistics 43 45 42 035. North Carolina State University-Raleigh 12 5 11 NA NA NA NA Biomathematics 49 40 44 036. North Carolina State University-Raleigh 31 19 32 .43 7.5 . 86 . 43 Statistics 78 54 56 55 44 57 50 037. North Carolina, University of-Chapel Hill 23 35 44 .62 7.0 .79 .43 Biostatistics 66 70 62 65 48 50 50 038. North Carolina, University of-Chapel Hill 15 22 23 .28 5.8 .72 .56 Statistics 54 57 51 48 57 44 60 039. Ohio State University-Columbus 10 17 28 .00 5.4 .83 .44 Statistics/13iostatistics* 46 52 53 34 60 55 51 040. Oklahoma State University-Stillwater 9 19 20 .07 6.4 .67 .20 Statistics 45 54 49 38 52 40 33 * 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.

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147 TABLE 8.1 Program Measures (Raw and Standardized Values) in Statistics/Biostatistics 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) 021. 4.0 2.3 1.2 1.5 -0.5 .21 NA 29 .07 .06 .04 .06 62 64 53 64 41 48 6560 022. 3.0 1.8 1.1 1.2 0.3 .08 NA 9 .08 .06 .06 .06 52 55 51 57 48 40 4744 023. 2.8 1.7 0.9 0.7 -0.4 NA NA 1 .10 .08 .06 .06 50 53 44 44 42 4040 024. 1.8 1.2 1.0 0.4 NA .00 NA 5 .10 .09 .09 .05 40 43 49 37 36 4343 025. 2.6 1.4 1.0 1.1 - 0.1 NA NA 15 .08 .08 .09 .06 48 47 49 53 44 5252 026. 1.6 0.7 1.1 0.4 0.2 NA NA 7 .12 .10 .06 .06 37 34 52 38 47 4549 027. 3.1 1.8 0.9 1.0 0.3 .60 NA 14 .08 .06 .05 .06 53 54 44 51 48 69 5155 028. NA NA NA NA 1 . 8 .08 NA 2 NA NA NA NA 62 40 4041 029. 3.1 1.8 1.0 0.8 1.8 .39 NA 13 .09 .05 .07 .07 53 55 48 48 62 57 5050 030. 2.2 1.2 1.0 0.4 1.2 NA NA 4 .15 .12 .05 .06 43 44 46 36 56 4243 031. 3.7 2.1 1.1 1.4 1.2 .53 NA 31 .07 .05 .06 .06 60 60 51 60 56 66 6765 032. 2.3 1.4 0.9 0.7 -0.2 .27 NA 7 .09 .07 .04 .07 44 46 44 45 43 51 4546 033. 1.5 0.7 1.0 0.5 NA NA NA 12 .15 .11 .12 .07 36 34 46 39 5049 034. 2.1 1.3 0.9 0.6 -1.0 NA NA 6 .10 .07 .10 .06 43 45 45 42 36 4443 035. 2.4 1.4 0.7 0.3 NA .08 NA 7 .17 .12 .11 .05 45 47 35 34 40 4545 036. 3.1 1.9 0.9 1.0 NA .10 NA 7 .10 .07 .05 .07 53 57 45 52 41 4545 037. 3.7 2.2 1.1 1.3 1.0 .13 NA 4 .09 .07 .05 .07 60 62 52 59 54 43 4243 038. 4.0 2.2 0.9 1.4 1.0 .27 NA 41 .07 .06 .06 .06 63 62 43 62 54 51 7677 039. 2.5 1.6 1.1 1.0 0.9 .30 NA 19 .08 .07 .06 .06 47 50 51 51 53 53 5656 040. 1.7 1.3 0.9 0.5 -1.9 NA NA 3 .10 .08 .07 .06 39 46 45 40 27 4142 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.

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148 TABLE 8.1 Program Measures (Raw and Standardized Values) in Statistics/Biostatistics Prog No. University - Department/Academic Unit 041. Oregon State University-Corvallis Statistics 042. Pennsylvania State University Statistics 043. Pennsylvania, University of Statistics 044 . Pittsburgh, University of Biostatistics (Grad Schl of Public Bealth) Program Size (01) (02) 16 17 55 52 13 15 51 50 12 6 49 41 8 6 43 41 Characteristics of Prooram Graduates (03) (04) (05) (06) (07) 20 .44 49 56 16 .27 47 47 10 44 16 47 8.5 .63 36 36 8.0 .80 40 52 NA NA NA NA NA .25 37 .40 48 NA NA NA 045. Pittsburgh, University of 9 3 20 NA NA NA NA Mathematics and Statistics* 45 38 49 046. Princeton University Statistics 047. Purdue University-West Lafayette Statistics 048. Rochester, University of Statistics 049. Rutgers, The State University-New Brunswick Statistics 050. SUNY at Buffalo Statistics 0 51. SUNY at Stony Brook Applied Mathematics and Statistics 052. South Florida, University of-Tampa Mathematics* 053. Southern Methodist University Statistics 7 13 42 48 23 25 66 60 11 13 48 48 14 8 52 43 7 15 42 50 5 17 39 52 3 NA 36 11 48 17 .07 48 38 33 56 19 49 126 99 ' 8 43 36 NA 58 16 25 51 52 4.5 .86 67 57 04 6.2 .79 36 54 51 .15 7.8 1.00 42 42 70 NA NA NA .59 5.8 63 57 NA NA .39 5.5 53 59 NA NA .36 45 .58 62 .58 62 NA .71 .41 43 49 NA NA NA .83 .56 55 60 054. Stanford University 20 40 48 .57 5.9 .83 .53 Statistics 61 75 64 62 56 55 57 055. Temple University 16 12 36 NA NA NA NA Statistics* 55 47 58 056. Texas A & M University Statistics 057. Texas, U of-Health Science Center, Houston Biomathematics (M D Anderson HospitalJ 058. Virginia Commonwealth University/Medical Col Biostatistics 059. Virginia Polytechnic Institute & State Univ Statistics and Statistical Lab 060. Washington, University of-Seattle Biomathematics Group and Biostatistics * indicates program was initiated since 1970. 18 25 58 60 14 2 52 37 5 8 39 43 19 26 60 61 34 24 83 59 25 .10 7.2 .91 39 46 61 52 39 41 NA NA NA NA NA NA 25 .30 7.5 .65 52 49 44 38 36 .70 7.0 .86 58 68 48 57 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. .43 50 NA NA .30 41 .64 66

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149 TABLE 8.1 Program Measures (Raw and Standardized Values) in Statistics/Biostatistics 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) 041. 2.8 1.7 1.0 0.8 NA .13 NA 8 .08 .08 .05 .06 50 53 49 48 43 4648 042. 2.7 1.6 1.1 1.0 0.7 .31 NA 13 .08 .06 .05 .07 49 52 52 52 52 53 5051 043. 2.6 1.4 1.2 0.8 0.7 .00 NA 4 .09 .09 .06 .07 47 48 54 46 51 36 4241 044. 1.9 1.0 1.0 0.3 0.1 NA NA 0 .17 .14 .10 .05 40 39 46 34 46 3940 045. 3.1 1.3 1.8 1.1 0.1 NA NA 13 .10 .10 .05 .07 53 45 78 53 46 5050 046. 4.0 1.9 0.9 1.5 0.9 NA NA 11 .10 .08 .04 .05 62 56 43 65 S3 4945 047. 3.9 2.1 1.2 1.4 -0.5 .48 NA 26 .06 .06 .05 .05 61 60 56 61 40 63 6262 048. 3.0 1.7 1.1 1.0 -0.6 .46 NA 18 .08 .07 .06 .07 52 53 50 52 39 61 5554 049. 3.2 1.8 0.9 1.0 0.8 .50 NA 31 .09 .06 .08 .07 54 54 44 52 53 64 6771 050. 1.9 1.1 0.1 0.7 0.3 NA NA 7 .10 .09 .05 .07 40 42 15 44 48 4544 051. 2.2 1.1 1.5 0.8 -0.6 NA NA 3 .14 .13 .10 .07 44 42 66 46 39 4141 052. 2.0 0.6 1.3 0.7 NA NA NA 2 .15 .10 .14 .07 41 32 59 44 4043 053. 2.6 1.6 1.0 0.9 NA .00 NA 13 .09 .06 .05 .06 48 51 48 50 36 5049 054. 4.9 2.8 1.2 1.7 2.0 .35 NA 36 .04 .04 .05 .05 72 73 55 69 64 55 7171 055. 1.8 1.1 1.0 0.5 -0.4 .00 NA 10 .10 .10 .07 .06 39 41 48 39 41 36 4848 056. 3.1 1.8 1.4 1.3 -0.5 .06 NA 14 .07 .07 .08 .05 53 55 63 59 41 39 5149 057. 2.4 1.3 1.2 0.4 NA .29 NA NA .16 .12 .12 .06 46 45 5 7 3 7 52 NA 058. 1.1 0.8 0.8 0.3 NA NA NA 2 .12 .14 .13 .05 33 36 41 34 4041 059. 2.9 1.8 1.2 1.1 -0.0 .05 NA 17 .09 .06 .05 .06 51 54 56 55 45 39 5452 060. 3.8 2.2 1.8 1.1 1.5 .35 NA 9 .07 .07 .06 .07 61 62 77 55 59 56 4748 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.

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150 TABLE 8.1 Program Measures (Raw and Standardized Values) in Statistics/Biostatistics Prog No. University - Department/Academic Unit 061. Wisconsin, University of-Madison Statistics 062. Wyoming, University of Statistics * 063. Yale University Epidemiology and Public Ilealt:h 064. Yale University Statistics * indicates program was initiated since 1970. Program Size (01) (02) (03) 23 41 66 76 7 9 42 44 6 9 40 44 6 13 40 48 40 60 9 43 6 42 18 48 Characteristics of Program Graduates (04)(05) (06) (07) .215.7 4558 NANA NANA .306.5 4951 .67 .29 40 40 NA NA NA NA .50 .10 25 26 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 a 10. "NA" indicates that the value for a measure is not available

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151 TABLE 8.1 Program Measures (Raw and Standardized Values) in Statistics/Biostatistics 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) 061. 4.3 2.4 1.2 1.6 1.6 .22 NA 35 .06 .05 .05 .05 66 67 54 67 59 48 7070 062. 1.9 1.1 1.0 0.5 NA NA NA 7 .10 .10 .04 .06 40 41 48 40 4541 063. 2.0 1.4 1.1 0.4 2.1 NA NA 2 .16 .13 .08 .06 42 47 51 37 64 4041 064. 3.7 2.0 1.0 1.3 2.1 NA NA 5 .08 .06 .04 .07 60 5 7 46 60 64 4346 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.

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152 TABLE 8.2 Summary Statistics Describing Each Program Measure--statistics/Biostatistics Number of P. rogramsStandard D E C I ~ E S Measure Evaluated Mean Deviation12345 67 8 9 Program Size 01 Raw Value 64 12 7 5 7 8 9 12 13 15 17 22 Std Value 64 50 10 39 42 43 45 49 51 54 57 65 02 Raw Value 61 15 10 4 7 9 12 13 15 16 19 26 Std Value 61 50 10 39 42 44 47 48 50 51 54 61 03 Raw Value 64 22 19 5 8 10 14 17 20 25 33 40 Std Value 64 50 10 41 43 44 46 48 49 52 56 60 Program Graduates 04 Raw Value 36 .32 .20 .07 .10 .18 .22 .28 .33 .41 .50 .60 Std Value 36 50 10 38 39 43 45 48 51 55 59 64 05 Raw Value 37 6.7 1.3 8.2 7.5 7.0 6.5 6.5 6.3 6.0 5.8 5.5 Std Value 37 50 10 38 44 48 51 51 53 55 57 59 06 Raw Value 36 .78 .11 .64 .67 .71 .74 .80 .81 .83 .86 .92 Std Value 36 50 10 37 40 44 46 52 53 55 57 63 07 Raw Value 36 .43 .13 .23 .30 .36 .42 .43 .46 .51 .55 .58 Std Value 36 50 10 35 40 45 49 50 52 56 59 62 Survey Results 08 Raw Value 63 2.8 1.0 1.6 1.8 2.1 2.4 2.7 3.1 3.2 3.8 4.0 Std Value 63 50 10 37 40 43 46 49 53 54 61 63 09 Raw Value 63 1.6 .5 .8 1.1 1.3 1.4 1.6 1.8 1.9 2.0 2.2 Std Value 63 50 10 36 41 45 47 51 55 56 58 62 10 Raw Value 63 1.1 .3 .8 .9 1.0 1.0 1.0 1.1 1.1 1.2 1.3 Std Value 63 50 10 40 44 48 48 48 52 52 55 59 11 Raw Value 63 .9 .4 .4 .5 .7 .8 1.0 1.0 1.2 1.3 1.5 Std Value 63 50 10 37 40 44 47 52 52 57 59 64 University Library 12 Raw Value 50 .5 1.1 -1.0 -.5 -.4 .1 .4 .9 1.0 1.6 2.0 Std Value 50 50 10 36 40 41 46 49 53 54 60 64 Research Support 13 Raw Value 37 .25 .18 .00 .06 .10 .20 .27 .30 .35 .44 .49 Std Value 37 50 10 36 39 42 47 51 53 56 61 63 Publication Records 15 Raw Value 63 12 11 2 3 5 7 9 13 14 18 30 Std Value 63 50 10 41 41 43 45 47 50 51 55 66 16 Std Value 63 50 10 41 41 43 45 47 49 51 . 56 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.

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153 TABLE 8.3 Intercorrelations Among Program Measures on 64 Programs in Statistics/Biostatistics Measure 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 Program Size 01 .53 .42 .16 .15 .16.29 .63 .72.35 .54 .24.05 N/A.50.49 02 .48 .00 .04 .00-.03 .55 .63.17 .59 .11.06 N/A.52.48 03 -.07 -.05 -.03-.03 .40 .42.12 .40 .14.17 N/A.48.50 Program Graduates 04 - .11 -.02.22 .19 .24- .06 .00 .24- .11 N/A- .32- .29 05 .14.45 .32 .30.15 .35 .25.11 N/A.39.37 06 .62 .15 .13.24 .04 .06.31 N/A.14.11 07 .25 .24.26 .17 .20.44 N/A.28.30 Survey Results 08 .95.30 .93 .53.53 N/A.70.67 of .24 .87 .45.41 N/A.67.63 10 .27 .04.09 N/A.16.15 11 .43.38 N/A.71.66 University Library 12 .26 N/A.32.36 Research Suppor t 13 14 Publication Records 15 16 N/A .48 .56 N/A N/A .98 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.

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154 s . o+ . 4 . 0~+ * * * * + * * Measure+ * ** * 3.0++ * * 08+ * + * * + * + * * * * + * + * * * * + * + * * + * 2.0++ * * + * * + * * * + * * * + * * + * + * + + + * * * * * * * * * * * 1. 0++ r - .64 * . * C.O +/+++++++++++++++++++/+++++++++++++++++++/+++++++++++++++++++/+++++++++++++++++++/+++++++++++++++++++/ 1 4 9 16 25 36 Measure 01 (square root ~cale) FIGURE 8.1 Mean rating of scholarly quality of faculty (measure 08) versus number of faculty members (measure 01)--63 programs in statistics/bio~tatistic~. 1

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155 3. 0++ + + + + + + 2. 0++ Measure 09 * * * + + * * + 1 .0++ + + + + + * * * * * * ** * * * ** * * * * * * * * * ** * * * ** * * * * * * * * * * * * * * * ** * * * * * * * r ~ .66 O.O +/+++++++++++++/+++++++++++++/+++++++++++++/+++++++++++++/+++++++++++++/+++++++++++++/+++++++++++++/ 1 4 9 16 25 36 49 64 Measure 02 (square root scale) FIGURE 8.2 Mean rating of program effectiveness in educating research scholars/scientists (measure 09) versus number of graduates in last f ive years (measure 02) --60 programs in statistics/biostatistics.

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156 TABLE 8.4 Characteristics of Survey Participants in Statistics/Biostatistics Respondents - N Field of specialization % Biostatistics/Biometrics2216 Mathematical Statistics5138 Statistics, General4836 Other/Unknown1410 Faculty Rank Professor7858 Associate Professor3224 Assistant Professor2418 Other/Unknown11 Year of Highest Degree Pre-195032 1950-592821 1960-695541 Post-19694735 Unknown22 Evaluator Selection Nominated by Institution11283 Other2317 Survey Form With Faculty Names11988 Without Names1612 Total Evaluators135100

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157 x x x x x x ~--X-- x ~--X-- 5.0 4.0 3.0 2.0 1.0 0 Mean Survey Rating (Measure 08 ) FIGURE 8.3 Mean rating of scholarly quality of faculty in 63 programs in statistics/biostatistics . 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 conf idence interval of +1. 5 standard errors around the reported mean (x) of each program.

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Representative terms from entire chapter:

standardized form