Presentation of the main results from the paper in "Osvita i upravlinnia" (2011, No 1, P. 7 - 12)

1. STATISTICAL ANALYSIS OF
UNIVERSITY RATINGS
Bakhrushin V.E. (2011), Osvita i Upravlinnia,
№ 1, P. 7 – 12.
https://www.researchgate.net/publication/23272
7899_Statistical_analysis_of_University_rankin
gs_(in_Ukrainian)/file/d912f50941e26e6bd3.pdf

2. Some a priori requirements for
the statistical characteristics
 Satisfactory resolving power:
mean value should be close to the middle of
the interval of possible values;
skewness must be close to zero;
standard deviation should be in limits 0.13 –
0.25 from the difference between maximum
and minimum scores, depending on the
number of analyzed universities:
The absence of correlation between
components.

3. Empirical distribution functions
(EDF) of rating overall scores
score
(R/10)
(R/10)

4. EDF calculation and properties
F(R) = n/N, where n is an sequence number of the university in the
sample ordered in ascending of R; N – is the total number of universities
in rating.
F(R) value is a probability that the value of the outcome rating score does
not exceed R.
We can see that the functions for the different ratings are very different from each
other. In particular, for Ukrainian TOP-200 Universities we have highly skewed
distribution, and for Times and National rating of the Russian universities –
inhomogeneous distributions.

5. Distribution models
ARWU: ( ) ( )F(R) 0,59N 29,3;3,5 0,49N 47,8;12,9= +
Times: ( ) ( )F(R) 0,601N 404;90 0,399N 678;78= +
Russian: ( ) ( )F(R) 0,62N 23,6;3,1 0,38N 50,9;5,3= +
Ukrainian
TOP-200: ( )F(R) L 2,11;0,582=
N(a;b) – normal distribution; L(a;b) – lognormal
distribution with parameters a and b.

6. Statistical properties of score
distributions
Mean
value
Asymmetry Standard
deviation
(normalized)
ARWU (2004-2009) 36 – 38 1,78 – 1,95 0,17 – 0,19
Sunday Times (2007
– 2011)
49 – 52 0,33 – 0,57 0,21 – 0,22
Ukrainian TOP-200
(2007 – 2009)
8 – 18 2,7 – 4,2 0,12 – 0,14
Russian-2009 35,1 1,39 0,2

7. EDF for components of Sunday
Times – 2007 rating

8. Correlation of ARWU
components
For ARWU rating correlation coefficients between the
components usually exceed 0.5, and in some cases
may be up to 0.87.

9. Correlation of the Ukrainian TOP-
200 Universities components
For the rest pairs of component also there is a
significant correlation
Staff quality
Educationquality
Kharkov NU
NTU “KhPI”
National medical Univ.
T. Shevtchenko
Kyiv Univ.
NTUU “KPI”

10. Correlation of the Sunday Times-
2007 components
For the rest pairs of component also, as a rule, there
is no significant correlation
Staff quality
Jobplacement