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A Multilevel Model Analysis with GRAND
GuangYing Mo
Department of Sociology, University ofToronto
SUNBELT, Hamburg, May 23, 2013
1
๏‚ก Introduction
๏‚ก Literature review
๏‚ก Research questions
๏‚ก Method
๏‚ก Findings
๏‚ก Conclusion
2
๏‚ก Growth of MultidisciplinaryCollaboration
(MDC).
๏‚ก Shift from traditional research organizations to
networked research.
๏‚ก Top-down arrangement of networked research
๏‚ก How does the top-down arrangement of MDC
shape real multidisciplinary interactions among
resarchers?
3
๏‚ก Social capital theory on diversity
1. Diversity at the dyadic level (Lin 1999;
Erickson 2003)
2. Diversity at the network level (Reagans. 2004)
๏‚ก Two types of diversity:
Compositional Diversity: the degree of variation
among the attributes of network members, e.g.
gender, ethnicity, age at the network level.
Interactional Diversity: the extent of actual
boundary-spanning interactions at the individual
level.
4
๏‚ก Rational choice theory (Becker 1974)
1. Preference (of compositional diversity)
2. Action (of interactional diversity)
3. Rewards (e.g. status, productivity)
๏‚ก A multilevel model of diversity including
compositional diversity at the project level,
interests in MDC and interactional diversity
at the individual level.
5
Compositional Project-Level
Diversity
H3 H1
H5
Interests H2 Interactional
In MDC Diversity
H4
Status Individual-Level
6
๏‚ก H1:The greater compositional diversity a project exhibits, its
members show the greater interactional diversity.
๏‚ก H2:The more researchers want to involved in
multidisciplinary collaborations, the greater their
interactional diversity.
๏‚ก H3: Compositional diversity moderates the relationship
between rationale and interactional diversity. When
compositional diversity increases, those who have higher
rationale for multidisciplinary collaborations show greater
interactional diversity.
๏‚ก H4:The higher researchers status, the lower their
interactional diversity.
๏‚ก H5:When compositional diversity increases, those who have
higher status have lower interactional diversity. 7
8
44% of NIs are working with 3 projects.
24% of NIs are working with more than 3 projects.
75% of CRs are working with 1 projects
3
10
18
7
3
45
12
2
1
0
1
2
3
4
5
NI
CR
Individual N=144, Project N =144
9
0 5 10 15 20
P1
P3
P5
P7
P9
P11
P13
P15
P17
P19
P21
P23
P25
P27
P29
P31
CS
ER
ICM
MDA
HM
SS
PRF
10
๏‚ก Online survey on collaboratorsโ€™ social networks
in GRAND (N=101)
1. Rationale (want-to-meet)
2. Interaction (comm., support, work)
3. Attributes (status, age, gender, location)
๏‚ก GRAND roster
Compositional diversity of projects
Heterogeneity index Blau (1977)
1-โˆ‘ ๐‘๐‘๐‘–๐‘–
2
where p is the proportion of the number of
people in the ith disciplinary category.
11
P1 P2 P3 P4 P32
r1 r2 r3 r4 r5 r6 r7 r8 r144
๐‘ฆ๐‘ฆ๐‘–๐‘–=๐›ฝ๐›ฝ0+๐›ฝ๐›ฝ1 ๐‘ฅ๐‘ฅ1๐‘–๐‘–+๐›ฝ๐›ฝ2 โˆ‘ ๐‘ค๐‘ค๐‘—๐‘—,๐‘–๐‘–
(2)
๐‘—๐‘—โˆˆ๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘(1) ๐‘ฅ๐‘ฅ2๐‘—๐‘—
(2)
+
โˆ‘ ๐‘ค๐‘ค๐‘—๐‘—,๐‘–๐‘–
(2)
๐‘—๐‘—โˆˆ๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘(1) ๐‘ข๐‘ข๐‘—๐‘—
(2)
+๐‘’๐‘’๐‘–๐‘–
๐‘ข๐‘ข๐‘—๐‘—
(2)
~ ๐‘๐‘ (0,๐œŽ๐œŽ๐‘ข๐‘ข(2)
2
)
๐‘’๐‘’๐‘–๐‘–~๐‘๐‘(0, ๐œŽ๐œŽ๐‘’๐‘’
2) 12
Mean S.D.
Individual level variable
DependentVariable
Interactional Diversity 0.31 0.22
IndependentVariable
Interests in MDCs 0.46 0.22
Age 46.59 8.98
Role in GRAND 0.41 0.49
Academic ranking 2.03 0.82
GIndex 51.74 60.46
ControlVariable
Gender 0.27 0.45
% of researchers in same city 0.10 0.06
Project-LevelVariable
Compositional Diversity 0.51 0.27
Note: Unless otherwise noted, individual N=101, Project N=32 13
Model 1 Model 2 Model 3 Model 4
Intercept -0.004 -0.129 -0.359 -0.356
Individual level variable
Interests in MDCs 0.657*** 0.644*** 0.749***
Age 0.064 0.060 0.064
Role in GRAND .217** 0.224*** -0.026
Academic ranking 0.010 0.014 0.015
GIndex 0.058 0.074 0.058
Gender 0.269แถง 0.277แถง 0.227
% of researchers in same city 0.563 0.626 0.743
Project-Level Variable
Disciplinary Diversity 0.456แถง 0.496แถง
Cross-Level Interactions
Compositional DiversityXRationale -0.201
Compositional DiversityXStatus 0.517แถง
Variance Estimates
GroupVariance 0.342*** 0.048*** 0.392*** 0.026***
Individual Variance 0.732*** 0.288*** 0.284*** 0.280***
Individual N=101, Project N=32
แถงp < .1 (one-tailed test), *p < .05; ** p<.01; *** p<.001 (two-tailed tests) 14
๏‚ก Compositional diversity fosters interactional
diversity (H1 supported).
๏‚ก Researchers who are more willing to be involved
in multidisciplinary collaborations show greater
interactional diversity. (H2 supported)
๏‚ก Researchers in a higher position in GRAND show
higher interactional diversity. (H4 refuted)
๏‚ก Compositional diversity moderates the effects of
researchersโ€™ roles on interactional diversity. In
projects of high compositional diversity, those in
higher positions indicates greater interactional
diversity. (H5 refuted)
15
16

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Mo does diversity foster diversity sunbelt2013

  • 1. A Multilevel Model Analysis with GRAND GuangYing Mo Department of Sociology, University ofToronto SUNBELT, Hamburg, May 23, 2013 1
  • 2. ๏‚ก Introduction ๏‚ก Literature review ๏‚ก Research questions ๏‚ก Method ๏‚ก Findings ๏‚ก Conclusion 2
  • 3. ๏‚ก Growth of MultidisciplinaryCollaboration (MDC). ๏‚ก Shift from traditional research organizations to networked research. ๏‚ก Top-down arrangement of networked research ๏‚ก How does the top-down arrangement of MDC shape real multidisciplinary interactions among resarchers? 3
  • 4. ๏‚ก Social capital theory on diversity 1. Diversity at the dyadic level (Lin 1999; Erickson 2003) 2. Diversity at the network level (Reagans. 2004) ๏‚ก Two types of diversity: Compositional Diversity: the degree of variation among the attributes of network members, e.g. gender, ethnicity, age at the network level. Interactional Diversity: the extent of actual boundary-spanning interactions at the individual level. 4
  • 5. ๏‚ก Rational choice theory (Becker 1974) 1. Preference (of compositional diversity) 2. Action (of interactional diversity) 3. Rewards (e.g. status, productivity) ๏‚ก A multilevel model of diversity including compositional diversity at the project level, interests in MDC and interactional diversity at the individual level. 5
  • 6. Compositional Project-Level Diversity H3 H1 H5 Interests H2 Interactional In MDC Diversity H4 Status Individual-Level 6
  • 7. ๏‚ก H1:The greater compositional diversity a project exhibits, its members show the greater interactional diversity. ๏‚ก H2:The more researchers want to involved in multidisciplinary collaborations, the greater their interactional diversity. ๏‚ก H3: Compositional diversity moderates the relationship between rationale and interactional diversity. When compositional diversity increases, those who have higher rationale for multidisciplinary collaborations show greater interactional diversity. ๏‚ก H4:The higher researchers status, the lower their interactional diversity. ๏‚ก H5:When compositional diversity increases, those who have higher status have lower interactional diversity. 7
  • 8. 8
  • 9. 44% of NIs are working with 3 projects. 24% of NIs are working with more than 3 projects. 75% of CRs are working with 1 projects 3 10 18 7 3 45 12 2 1 0 1 2 3 4 5 NI CR Individual N=144, Project N =144 9
  • 10. 0 5 10 15 20 P1 P3 P5 P7 P9 P11 P13 P15 P17 P19 P21 P23 P25 P27 P29 P31 CS ER ICM MDA HM SS PRF 10
  • 11. ๏‚ก Online survey on collaboratorsโ€™ social networks in GRAND (N=101) 1. Rationale (want-to-meet) 2. Interaction (comm., support, work) 3. Attributes (status, age, gender, location) ๏‚ก GRAND roster Compositional diversity of projects Heterogeneity index Blau (1977) 1-โˆ‘ ๐‘๐‘๐‘–๐‘– 2 where p is the proportion of the number of people in the ith disciplinary category. 11
  • 12. P1 P2 P3 P4 P32 r1 r2 r3 r4 r5 r6 r7 r8 r144 ๐‘ฆ๐‘ฆ๐‘–๐‘–=๐›ฝ๐›ฝ0+๐›ฝ๐›ฝ1 ๐‘ฅ๐‘ฅ1๐‘–๐‘–+๐›ฝ๐›ฝ2 โˆ‘ ๐‘ค๐‘ค๐‘—๐‘—,๐‘–๐‘– (2) ๐‘—๐‘—โˆˆ๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘(1) ๐‘ฅ๐‘ฅ2๐‘—๐‘— (2) + โˆ‘ ๐‘ค๐‘ค๐‘—๐‘—,๐‘–๐‘– (2) ๐‘—๐‘—โˆˆ๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘(1) ๐‘ข๐‘ข๐‘—๐‘— (2) +๐‘’๐‘’๐‘–๐‘– ๐‘ข๐‘ข๐‘—๐‘— (2) ~ ๐‘๐‘ (0,๐œŽ๐œŽ๐‘ข๐‘ข(2) 2 ) ๐‘’๐‘’๐‘–๐‘–~๐‘๐‘(0, ๐œŽ๐œŽ๐‘’๐‘’ 2) 12
  • 13. Mean S.D. Individual level variable DependentVariable Interactional Diversity 0.31 0.22 IndependentVariable Interests in MDCs 0.46 0.22 Age 46.59 8.98 Role in GRAND 0.41 0.49 Academic ranking 2.03 0.82 GIndex 51.74 60.46 ControlVariable Gender 0.27 0.45 % of researchers in same city 0.10 0.06 Project-LevelVariable Compositional Diversity 0.51 0.27 Note: Unless otherwise noted, individual N=101, Project N=32 13
  • 14. Model 1 Model 2 Model 3 Model 4 Intercept -0.004 -0.129 -0.359 -0.356 Individual level variable Interests in MDCs 0.657*** 0.644*** 0.749*** Age 0.064 0.060 0.064 Role in GRAND .217** 0.224*** -0.026 Academic ranking 0.010 0.014 0.015 GIndex 0.058 0.074 0.058 Gender 0.269แถง 0.277แถง 0.227 % of researchers in same city 0.563 0.626 0.743 Project-Level Variable Disciplinary Diversity 0.456แถง 0.496แถง Cross-Level Interactions Compositional DiversityXRationale -0.201 Compositional DiversityXStatus 0.517แถง Variance Estimates GroupVariance 0.342*** 0.048*** 0.392*** 0.026*** Individual Variance 0.732*** 0.288*** 0.284*** 0.280*** Individual N=101, Project N=32 แถงp < .1 (one-tailed test), *p < .05; ** p<.01; *** p<.001 (two-tailed tests) 14
  • 15. ๏‚ก Compositional diversity fosters interactional diversity (H1 supported). ๏‚ก Researchers who are more willing to be involved in multidisciplinary collaborations show greater interactional diversity. (H2 supported) ๏‚ก Researchers in a higher position in GRAND show higher interactional diversity. (H4 refuted) ๏‚ก Compositional diversity moderates the effects of researchersโ€™ roles on interactional diversity. In projects of high compositional diversity, those in higher positions indicates greater interactional diversity. (H5 refuted) 15
  • 16. 16