Main results are published in: http://scipeople.ru/publication/110910 (Osvita i upravlinnya, 2011, 1, 7); http://scipeople.ru/publication/105076 (Osvita i upravlinnya, 2011, 2-3, 30); http://scipeople.ru/publication/110911 (Uspekhi sovremennogo estestvoznania, 2010, 12, 118).

1. Vladimir E. Bakhrushin
STATISTICAL ANALYSIS OF
WORLD UNIVERSITY
RANKINGS
Classic Private University
Zaporizhjia
2010

2. Different university rankings are widely used for
decision making at higher education. These rankings
may be common or specialized, depending of their
application area.
In these report the results of statistical analysis are
presented for such indexes: R1 – Top 500 world
universities – 2008; R2 - ARWU or Shanghai ranking-
2008; R3 – The Times Good university guide 2008
(Great Britain universities ranking); R4 - World
Universities' ranking on the Web_Top 8000; R5 –
Ukrainian Top-200 universities ranking (Dzerkalo
Tyzhnya), etc.
Two types of parameters were studied – empirical
distribution functions and correlation between ranking
components.

6. For R2 Alumni. The total number of the alumni of
an institution winning Nobel Prizes and Fields Medals.
Alumni are defined as those who obtain bachelor,
Master's or doctoral degrees from the institution.
Different weights are set according to the periods of
obtaining degrees. The weight is 100% for alumni
obtaining degrees in after 1991, 90% for alumni
obtaining degrees in 1981-1990, 80% for alumni
obtaining degrees in 1971-1980, and so on, and finally
10% for alumni obtaining degrees in 1901-1910. If a
person obtains more than one degrees from an
institution, the institution is considered once only..
Weight – 10%/

7. Award. The total number of the staff of an
institution winning Nobel Prizes in Physics,
Chemistry, Medicine and Economics and Fields
Medal in Mathematics. Staff is defined as those who
work at an institution at the time of winning the prize.
The weight is 100% for winners in after 2001, 90% for
winners in 1991-2000, 80% for winners in 1981-1990,
70% for winners in 1971-1980, and so on, and finally
10% for winners in 1911-1920. If a winner is affiliated
with more than one institution, each institution is
assigned the reciprocal of the number of institutions.
For Nobel prizes, if a prize is shared by more than
one person, weights are set for winners according to
their proportion of the prize..
Weight – 20%

8. HiCi. The number of highly cited researchers in
21 subject categories. These individuals are the most
highly cited within each category. The definition of
categories and detailed procedures can be found at
the website of Thomson ISI. Weight - 20
N&S. The number of articles published in Nature
and Science between 2003 and 2007. To distinguish
the order of author affiliation, a weight of 100% is
assigned for corresponding author affiliation, 50% for
first author affiliation (second author affiliation if the
first author affiliation is the same as corresponding
author affiliation), 25% for the next author affiliation,
and 10% for other author affiliations. Only publications
of article type are considered. Weight -20

9. PUB. Total number of articles indexed in Science
Citation Index-Expanded and Social Science Citation
Index in 2007. Only publications of article type are
considered. When calculating the total number of
articles of an institution, a special weight of two was
introduced for articles indexed in Social Science
Citation Index. Weight – 20.
PCP. The weighted scores of the above five
indicators divided by the number of full-time
equivalent academic staff. If the number of academic
staff for institutions of a country cannot be obtained,
the weighted scores of the above five indicators is
used. Weight - 10

13. Alumni = 0
18 Univ California - San Francisco
36 Univ California - Santa Barbara
46 Univ California - Irvine
48 Univ California - Davis
48 Univ Southern California
77 Univ Arizona
80 Univ Utah
88 Texas A&M Univ - Coll Station
94 Arizona State Univ - Tempe
95 Univ Virginia

14. Score on awards = 0
21 Univ Michigan - Ann Arbor
32 Duke Univ
42 Pennsylvania State Univ - Univ Park
48 Univ California - Davis
52 Univ Pittsburgh - Pittsburgh
57 Univ Florida
60 McGill Univ
63 Ohio State Univ - Columbus
68 Osaka Univ
77 Univ Arizona
79 Tohoku Univ
83 Boston Univ
85 Michigan State Univ
88 Texas A&M Univ - Coll Station
95 Univ Virginia
97 Lund Univ
100 Univ Sydney

21. Times_Top_200_2009
KS = 0,66

28. The Times Good university guide 2008

35. Ukrainian Top-200 universities ranking - 2008
KS = 0,71(L); 1,66 (N)

37. Average Staff – Total rank = -19,8 (Med); -14,0 (Agr)