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OCR for page 95
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
OCR for page 96
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.
OCR for page 97
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.
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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
OCR for page 99
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.
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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.
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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
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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.
OCR for page 103
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.
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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.
OCR for page 105
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.
OCR for page 106
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.
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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.
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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.
OCR for page 109
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.
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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.
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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.
OCR for page 112
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.
OCR for page 113
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.
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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
OCR for page 115
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.
OCR for page 116
Representative terms from entire chapter:
raw value
