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Minimum Representative Size in Comparing Research Performance of Universities: the Case of Medicine Faculties in Romania

Xiaoling Liu
Xiaoling Liu
, 
Mihai Păunescu
Mihai Păunescu
, 
Viorel Proteasa
Viorel Proteasa
 and 
Jinshan Wu
Jinshan Wu
   | Sep 27, 2018
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Article Category: Research Paper
Published Online: Sep 27, 2018
Page range: 32 - 42
Received: Jun 27, 2018
Accepted: Aug 27, 2018
DOI: https://doi.org/10.2478/jdis-2018-0013
Keywords
© 2018 Xiaoling Liu, Mihai Păunescu, Viorel Proteasa, Jinshan Wu, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Figure 1

Box-plot for the citation distribution. The citation distributions of six universities are shown in box-plot. The five horizontal lines in each box represent the maximum, third quartile, median, first quartile and minimum citation (the last two lines can not be seen in these figures since they are to close to zero.), respectively. The star markers represent the mean of the citations. There is a huge difference between mean and median in each distribution.
Box-plot for the citation distribution. The citation distributions of six universities are shown in box-plot. The five horizontal lines in each box represent the maximum, third quartile, median, first quartile and minimum citation (the last two lines can not be seen in these figures since they are to close to zero.), respectively. The star markers represent the mean of the citations. There is a huge difference between mean and median in each distribution.

Figure 2

Box-plot for the g-index distribution of Cluj and Tg. Mureş. (a) The original distribution of Cluj and Tg. Mureş. The five horizontal lines in each box represent the maximum, third quartile, median, first quartile and minimum g-index, respectively. The star markers represent the mean g-index. (b) Distribution of the Bootstrap κ-sample average of κ-index, with the minimum representative sizes of the two sets when the two sets are pair-wisely compared.
Box-plot for the g-index distribution of Cluj and Tg. Mureş. (a) The original distribution of Cluj and Tg. Mureş. The five horizontal lines in each box represent the maximum, third quartile, median, first quartile and minimum g-index, respectively. The star markers represent the mean g-index. (b) Distribution of the Bootstrap κ-sample average of κ-index, with the minimum representative sizes of the two sets when the two sets are pair-wisely compared.

Figure 3

Heatmap of the pairwise compared. (a) Faculties are sorted in descending order by average citations. The darkness of each circle represents the value of κ(I)cr$\kappa \left( I \right)_{c}^{r}$ for the pair formed by the faculty on row r and the one on column c. The size of the circles represents the ratio of the mean citation for the faculties corresponding to row r and column c. The gray circles on the diagonal are reference circles with size 1. (b) Results are calculated based on h-index. (c) Results are calculated based on g-index.
Heatmap of the pairwise compared. (a) Faculties are sorted in descending order by average citations. The darkness of each circle represents the value of κ(I)cr$\kappa \left( I \right)_{c}^{r}$ for the pair formed by the faculty on row r and the one on column c. The size of the circles represents the ratio of the mean citation for the faculties corresponding to row r and column c. The gray circles on the diagonal are reference circles with size 1. (b) Results are calculated based on h-index. (c) Results are calculated based on g-index.

Basic statistics. For each university, its name, number of academics(N), mean score(‹•›), standard variance (σ) of the corresponding index, are shown

UniversityNCitationh-indexg-index
‹c›σ‹h›σ‹g›σ
Cluj59624.75124.661.692.232.534.03
Bucharest111918.4180.811.451.992.153.56
Timişoara50515.9357.611.422.031.933.16
Iaşi54715.8675.221.541.902.063.08
Craiova28014.1940.951.501.911.982.90
Tg. Mureş3275.4022.190.831.281.082.04

Values of κrest. For each university, its name, mean score of the rest university (‹c›rest, ‹h›rest, ‹g›rest), and minimum number of representative academics (κrest), calculated by the corresponding index, are shown.

UniversityNCitationh-indexg-index
‹c›rest,σ‹h›restσ‹g›restσ
Cluj59615.504801.401831.95145
Bucharest111916:5052831:44> 1042.001664
Timişoara50517:3549001.4590662.081378
Iaşi54717:3871871.438932.06> 104
Craiova28017:404771.4233752.063634
Tg. Mureş32718:3921.51122.1613
eISSN:
2543-683X
Language:
English
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Computer Sciences, Information Technology, Project Management, Databases and Data Mining
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