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«Использование анализа
социальных сетей для
формирования учебных групп»
Александр Пронин, Александр Семёнов
IV международная конференция Российской ассоциации исследователей
высшего образования
«Университетские традиции: ресурс или бремя?»
Москва
28.09.2013
Forming students groups seems to be
a tough problem!
Challenge
Task: regroup 4 student groups into 3
equally sized, homogenous groups with
equal average score
group A

Group 1

group B

N1 = N2 = N3 = 26

Group 2
group C
group D

Group 3

N – group size
S – average score

S1 = S2 = S3
2 Approaches
Approach1: «Weak link»

Approach2: «Melting pot»
“Weak link” principle
Boys
Girls
Subgroup 1
Subgroup 2
Subgroup 3
Approach 1 results
Standard Network Analysis
Row count
Column count
Link count
Density
Components of 1 node (isolates)
Components of 2 nodes (dyadic isolates)
Components of 3 or more nodes
Reciprocity
Characteristic path length
Clustering coefficient
Network levels (diameter)
Network fragmentation
Krackhardt connectedness
Krackhardt efficiency
Krackhardt hierarchy
Krackhardt upperboundedness
Degree centralization
Betweenness centralization
Closeness centralization
Eigenvector centralization
Reciprocal (symmetric)?

221_1
18.000
18.000
63.000
0.206
0
0
2
0.575
1.548
0.637
4.000
0.471
0.529
0.631
0.575
0.877
0.099
0.057
0.053
0.468
No (57% of
the links
are
reciprocal)

221_2
18.000
18.000
48.000
0.157
0
0
1
0.333
3.167
0.348
9.000
0.000
1.000
0.860
0.314
1.000
0.121
0.323
0.314
0.301
No (33% of
the links
are
reciprocal)

222_1
19.000
19.000
60.000
0.175
2
0
1
0.500
2.570
0.485
6.000
0.205
0.795
0.800
0.221
1.000
0.145
0.229
0.116
0.325
No (50% of
the links
are
reciprocal)

222_2
19.000
19.000
46.000
0.135
2
0
1
0.533
2.759
0.296
7.000
0.205
0.795
0.883
0.412
1.000
0.191
0.191
0.125
0.305
No (53% of
the links
are
reciprocal)

223_1
22.000
22.000
74.000
0.160
0
0
1
0.423
2.910
0.454
6.000
0.000
1.000
0.852
0.250
1.000
0.112
0.239
0.268
0.258
No (42% of
the links
are
reciprocal)

223_2
22.000
22.000
58.000
0.126
0
0
1
0.349
2.379
0.351
6.000
0.000
1.000
0.895
0.820
0.767
0.176
0.070
0.177
0.425
No (34% of
the links
are
reciprocal)

224_1
19.000
19.000
58.000
0.170
2
0
1
0.611
2.547
0.519
6.000
0.205
0.795
0.833
0.538
1.000
0.121
0.120
0.205
0.457
No (61% of
the links
are
reciprocal)

224_2
19.000
19.000
49.000
0.143
2
0
1
0.531
2.365
0.391
6.000
0.205
0.795
0.867
0.724
1.000
0.119
0.143
0.242
0.482
No (53% of
the links
are
reciprocal)
Approach 2 principle
Initial groups

Faculty-level ties

New Groups

Clustering
Group level

Sociometric questionnaire
Communication

Approach 1

Trust

Faculty level

Approach 2
Information
Advice
Improvement
Key Results
1st interval
Average
score
Rating
position

2nd interval

Year later

57%

37%

42%

35%

68%

52%

% - percentage of students, who increased their average score and position in cumulative rating
Comparative results
1st interval
Type of groups

Score
change

Score
increase

2nd interval
Score
change

Score
increase

Year later
Score
change

Score
increase

48% +0,24

48% +0,84

48% +1

63% +0,49

34% +0,44

41% +0,45

Score change -- % of students, who increased their average score according to current rating
Avg. score increase – mean increase of average score
Future steps
•
•
•
•

Finalize data analysis
Conduct a survey
Publish a paper with results
Present a methodology
Thank you!
• Александр Пронин
aspronin@hse.ru
• Александр Семёнов
semenoffalex@gmail.com
http://jarens.ru

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Social Network Analysis application in formation of students' groups

  • 1. «Использование анализа социальных сетей для формирования учебных групп» Александр Пронин, Александр Семёнов IV международная конференция Российской ассоциации исследователей высшего образования «Университетские традиции: ресурс или бремя?» Москва 28.09.2013
  • 2. Forming students groups seems to be a tough problem!
  • 3. Challenge Task: regroup 4 student groups into 3 equally sized, homogenous groups with equal average score group A Group 1 group B N1 = N2 = N3 = 26 Group 2 group C group D Group 3 N – group size S – average score S1 = S2 = S3
  • 4. 2 Approaches Approach1: «Weak link» Approach2: «Melting pot»
  • 6. Approach 1 results Standard Network Analysis Row count Column count Link count Density Components of 1 node (isolates) Components of 2 nodes (dyadic isolates) Components of 3 or more nodes Reciprocity Characteristic path length Clustering coefficient Network levels (diameter) Network fragmentation Krackhardt connectedness Krackhardt efficiency Krackhardt hierarchy Krackhardt upperboundedness Degree centralization Betweenness centralization Closeness centralization Eigenvector centralization Reciprocal (symmetric)? 221_1 18.000 18.000 63.000 0.206 0 0 2 0.575 1.548 0.637 4.000 0.471 0.529 0.631 0.575 0.877 0.099 0.057 0.053 0.468 No (57% of the links are reciprocal) 221_2 18.000 18.000 48.000 0.157 0 0 1 0.333 3.167 0.348 9.000 0.000 1.000 0.860 0.314 1.000 0.121 0.323 0.314 0.301 No (33% of the links are reciprocal) 222_1 19.000 19.000 60.000 0.175 2 0 1 0.500 2.570 0.485 6.000 0.205 0.795 0.800 0.221 1.000 0.145 0.229 0.116 0.325 No (50% of the links are reciprocal) 222_2 19.000 19.000 46.000 0.135 2 0 1 0.533 2.759 0.296 7.000 0.205 0.795 0.883 0.412 1.000 0.191 0.191 0.125 0.305 No (53% of the links are reciprocal) 223_1 22.000 22.000 74.000 0.160 0 0 1 0.423 2.910 0.454 6.000 0.000 1.000 0.852 0.250 1.000 0.112 0.239 0.268 0.258 No (42% of the links are reciprocal) 223_2 22.000 22.000 58.000 0.126 0 0 1 0.349 2.379 0.351 6.000 0.000 1.000 0.895 0.820 0.767 0.176 0.070 0.177 0.425 No (34% of the links are reciprocal) 224_1 19.000 19.000 58.000 0.170 2 0 1 0.611 2.547 0.519 6.000 0.205 0.795 0.833 0.538 1.000 0.121 0.120 0.205 0.457 No (61% of the links are reciprocal) 224_2 19.000 19.000 49.000 0.143 2 0 1 0.531 2.365 0.391 6.000 0.205 0.795 0.867 0.724 1.000 0.119 0.143 0.242 0.482 No (53% of the links are reciprocal)
  • 7. Approach 2 principle Initial groups Faculty-level ties New Groups Clustering
  • 8. Group level Sociometric questionnaire Communication Approach 1 Trust Faculty level Approach 2 Information Advice Improvement
  • 9. Key Results 1st interval Average score Rating position 2nd interval Year later 57% 37% 42% 35% 68% 52% % - percentage of students, who increased their average score and position in cumulative rating
  • 10. Comparative results 1st interval Type of groups Score change Score increase 2nd interval Score change Score increase Year later Score change Score increase 48% +0,24 48% +0,84 48% +1 63% +0,49 34% +0,44 41% +0,45 Score change -- % of students, who increased their average score according to current rating Avg. score increase – mean increase of average score
  • 11. Future steps • • • • Finalize data analysis Conduct a survey Publish a paper with results Present a methodology
  • 12. Thank you! • Александр Пронин aspronin@hse.ru • Александр Семёнов semenoffalex@gmail.com http://jarens.ru

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