THE THREE RANKINGS USED 

 
ACADEMIC RANKING OF WORLD UNIVERSITIES 
Institute of Higher Education, Shanghai Jiao Tong University, 2004.

This ranking was compiled using "several indicators of academic or research performance, including alumni and staff winning Nobel Prizes and Fields Medals, highly cited researchers, articles published in Nature and Science, articles in Science Citation Index-expanded and Social Science Citation Index, and academic performance with respect to the size of an institution." A Further Analysis about This Ranking has been given by Da Hsuan Feng.  
WORLD UNIVERSITY RANKINGS
[
London] Times Higher Education Supplement (THES), 2004.
This ranking was compiled "with the help of findings from a survey for the THES of 1,300 academics in 88 countries. They were asked to name the best institutions in the fields that they felt knowledgeable about." 
TOP AMERICAN RESEARCH UNIVERSITIES,
The Center at the University of Florida, 2004.
This website is not a ranking but a collection of data for ranking research universities. Our ranking was compiled solely from data provided by this website with the exception of SAT and ACT scores obtained from US News and World Report.

METHODOLOGY USED

 
We use a procedure involving z-scores (the z-score of a number in a list is the distance, in standard deviations, between this number and the average of the list) and a linear transformation to make lists (usually given as columns) of numbers (oftentimes points awarded to universities) more compatible by forcing the average of the largest twenty-five numbers in each list to be 75 and the largest number in each list to be 100; our choice of the numbers 75 and 100 was arbitrary but perhaps based on aesthetic considerations. In general, our procedure will change the numbers on a list but will not change the ordering (for example, if University A is ranked seventh on a survey, after applying our procedure, University A will still be ranked seventh).  We did this procedure on each of the three rankings used, on the sum of these three rankings, and on the nine columns of data collected in the Top American Research Universities. We spare you the calculations. 

EXPLANATION OF SYMBOLS USED
 
 ABBREVISIONS
          USED 
                     EXPRESSION
     
            AR    Academic Ranking of World Universities
             LT    World University Rankings (London Times)  
            Rev    Our revision of the points awarded
            SC    Point total on our ranking
            UF    Top American Research Universities


 
INFORMATION ABOUT THE RANKINGS USED
 
     AR        AR
 Revised
   LT  

    LT
Revised

   UF       UF
Revised
                         
 Number of Universities Ranked       500        200          50        50
 Number of Universities
 Receiving Points  
    100        200                50
 Number of USA Universities
 (excluding medical schools)
 Receiving Points
     48        48     61        61           50
 Points Received by USA
 University Ranked One (Harvard)
   100       100   1000      100          100 
 Points Received by  USA
 University Ranked Two 
   77.2        87.5     880      95.0         91.8
 Points Received by USA
 University Ranked 48
   25.1      58.9    131      64.0         53.8 
 Points Received by Lowest
 Scoring University
   25.1      58.9    103      61.8         49.1
 The Average of the Twenty-five
 highest Ranking USA Universities
   54.5      75.0    413      75.0          75.0
 Standard Deviation of the 
 Twenty-five Highest Ranking 
 USA Universities
   15.3      8.42    238      10.1         8.01

 

OUR RANKING OF AMERICA'S
BEST RESEARCH UNIVERSITIES

 
In the first three columns after UNIVERSITY, we give the position that the top-scoring universities were ranked by each of our three rankings. In the next three columns, this table gives the points the university received from each of our three rankings (as always, we modify each of these numbers so that the average of the twenty-five highest numbers in this column is 75 and the highest score of 100. For example, on the World University Rankings (London Times) ranking, denoted by LT, we see that MIT ranked fourth and received, by our calculation, 91.0 points. The last column (SCORE) gives the number that determines our graduate school rank. The first step in calculating this last column SCORE  is to add the numbers in the three preceding columns; this sum is slightly modified so that the average of the twenty-five highest numbers in this last column is 75 and the highest score of 100.
   

UNIVERSITY

AR

 

LT

 

UF

 

 

AR

 

LT

 

UF

 

SCORE

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

 

Harvard

1.0

 

1

 

1

 

 

100

 

100

 

100

 

100

2

 

Stanford

2.0

 

5

 

2

 

 

87.5

 

86.7

 

91.8

 

88.8

3

 

UC Berkeley

3.0

 

2

 

4

 

 

85.8

 

94.9

 

81.0

 

87.4

4

 

MIT

4.0

 

3

 

5

 

 

84.8

 

91.0

 

79.9

 

85.4

5

 

Cal Tech

5.0

 

4

 

21

 

 

83.0

 

88.9

 

68.3

 

80.2

6

 

Yale

9.0

 

6

 

6

 

 

77.3

 

82.2

 

78.4

 

79.5

7

 

Princeton

6.0

 

7

 

16

 

 

80.0

 

81.1

 

71.5

 

77.8

8

 

Columbia

7.0

 

10

 

10

 

 

78.7

 

73.8

 

76.4

 

76.5

9

 

Johns Hopkins

17.0

 

13

 

3

 

 

71.2

 

71.5

 

82.5

 

75.3

10

 

Cornell

10.0

 

11

 

11

 

 

75.6

 

72.2

 

75.8

 

74.8

11

 

U Chicago

8.0

 

8

 

22

 

 

78.3

 

76.3

 

68.2

 

74.5

12

 

UCLA

13.0

 

14

 

7

 

 

73.4

 

70.9

 

77.9

 

74.3

13

 

U Pennsylvania

12.0

 

15

 

8

 

 

73.5

 

70.5

 

77.0

 

73.9

14

 

U Michigan

15.0

 

16

 

12

 

 

72.2

 

69.9

 

75.7

 

72.9

15

 

U Wisconsin

14.0

 

24

 

9

 

 

72.5

 

65.2

 

77.0

 

71.9

16

 

UC San Diego

11.0

 

12

 

20

 

 

74.6

 

71.5

 

68.4

 

71.8

17

 

U Washington 

16.0

 

27

 

13

 

 

72.0

 

64.9

 

73.0

 

70.3

18

 

U Texas

27.0

 

9

 

18

 

 

64.2

 

75.3

 

69.7

 

70.0

19

 

U Illinois

18.0

 

17

 

17

 

 

68.9

 

69.4

 

70.5

 

69.9

20

 

Duke

21.0

 

20

 

14

 

 

66.4

 

66.4

 

72.2

 

68.7

21

 

Northwestern

20.0

 

26

 

19

 

 

66.8

 

65.1

 

69.1

 

67.3

22

 

Washington U

19.0

 

39

 

23

 

 

68.8

 

63.8

 

68.0

 

67.2

23

 

U Southern Calif

31.5