STATISTICAL ANALYSIS OF
UNIVERSITY RATINGS
Bakhrushin V.E. (2011), Osvita i Upravlinnia,
№ 1, P. 7 – 12.
https://www.resea...
Some a priori requirements for
the statistical characteristics
 Satisfactory resolving power:
mean value should be close...
Empirical distribution functions
(EDF) of rating overall scores
score
(R/10)
(R/10)
EDF calculation and properties
F(R) = n/N, where n is an sequence number of the university in the
sample ordered in ascend...
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= +
...
Statistical properties of score
distributions
Mean
value
Asymmetry Standard
deviation
(normalized)
ARWU (2004-2009) 36 – 3...
EDF for components of Sunday
Times – 2007 rating
Correlation of ARWU
components
For ARWU rating correlation coefficients between the
components usually exceed 0.5, and in ...
Correlation of the Ukrainian TOP-
200 Universities components
For the rest pairs of component also there is a
significant ...
Correlation of the Sunday Times-
2007 components
For the rest pairs of component also, as a rule, there
is no significant ...
Upcoming SlideShare
Loading in …5
×

Statistical analysis of university rankings

437 views
368 views

Published on

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

Published in: Technology
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
437
On SlideShare
0
From Embeds
0
Number of Embeds
1
Actions
Shares
0
Downloads
5
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Statistical analysis of university rankings

  1. 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. 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. 3. Empirical distribution functions (EDF) of rating overall scores score (R/10) (R/10)
  4. 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. 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. 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. 7. EDF for components of Sunday Times – 2007 rating
  8. 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. 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. 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

×