Sensitivity of MRQAP tests to collinearity and autocorrelation conditions

Psychometrika

Volumn 72, Issue 4, 2007, Pages 563-581

  Dekker, David ^a,d   Krackhardt, David ^b   Snijders, Tom A B ^c  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^b CARNEGIE MELLON UNIVERSITY   (United States)

^c UNIVERSITY OF GRONINGEN   (Netherlands)

^d ERASMUS UNIVERSITY ROTTERDAM   (Netherlands)

Author keywords

Collinearity; Dyadic data; Mantel tests; MRQAP; Network autocorrelation; Permutation tests; Social networks

Indexed keywords

EID: 38949202977     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11336-007-9016-1     Document Type: Article

References (43)

1. Anderson, M.J., & Legendre, P. (1999). An empirical comparison of permutation methods for tests of partial regression coefficients in a linear model. Journal of Statistical Computation and Simulation, 62(3), 271-303.
2. Anderson, M.J., & Robinson, J. (2001). Permutation tests for linear models. Australian & New Zealand Journal of Statistics, 43(1), 75-88.
3. Anderson, M.J., & Ter Braak, C.J.F. (2003). Permutation tests for multi-factorial analysis of variance. Journal of Statistical Computation and Simulation, 73(2), 85-113.
4. Baker, F., & Hubert, L. (1981). The analysis of social interaction data. Sociological Methods and Research, 9, 339-361.
5. Borgatti, S.P., & Cross, R. (2003). A relational view of information seeking and learning in social networks. Management Science, 49(4), 432-445.
6. Borgatti, S.P., Everett, M.G., & Freeman, L.C. (2002). Ucinet for windows: Software for social network analysis. Boston: Harvard Analytic Technologies.
7. Edgington, E. (1995). Randomization tests (3rd edn.). New York: Dekker.
8. Frank, O., & Strauss, D. (1986). Markov graphs. Journal of the American Statistical Association, 81(395), 832-842.
9. Freedman, D., & Lane, D. (1983). A nonstochastic interpretation of reported significance levels. Journal of Business and Economic Statistics, 1, 292-298.
10. Gibbons, D., & Olk, P.M. (2003). Individual and structural origins of friendship and social position among professionals. Journal of Personality and Social Psychology, 84(2), 340-351.
11. Heagerty, P.J., & Lele, S.R. (1998). A composite likelihood approach to binary spatial data. Journal of the American Statistical Association, 93, 1099-1123.
12. Holland, P.W., & Leinhardt, S. (1981). An exponential family of probability-distributions for directed-graphs. Journal of the American Statistical Association, 76(373), 33-50.
13. Hubert, L.J. (1987). Assignment methods in combinatorial data analysis (Vol. 73). New York: Dekker.
14. Jackson, D.A., & Somers, K.M. (1989). Are probability estimates from the permutation model of Mantel's test stable? Canadian Journal of Zoology, 67, 766-769.
15. Kadushin, C. (1995). Friendships among the French financial elite. American Sociological Review, 60(2), 201-221.
16. Kennedy, P.E. (1995). Randomization tests in econometrics. Journal of Business & Economic Statistics, 13(1), 85-94.
17. Kennedy, P.E., & Cade, B.S. (1996). Randomization tests for multiple regression. Communications in Statistics-Simulation and Computation, 25(4), 923-936.
18. Krackhardt, D. (1987). Qap partialling as a test of spuriousness. Social Networks, 9, 171-186.
19. Krackhardt, D. (1988). Predicting with networks-Nonparametric multiple-regression analysis of dyadic data. Social Networks, 10(4), 359-381.
20. Krackhardt, D., & Kilduff, M. (1990). Friendship patterns and culture: The control of organizational diversity. American Anthropologist, 92, 142-154.
21. Krackhardt, D., & Kilduff, M. (1999). Whether close or far: Perceptions of balance in friendship networks in organizations. Journal of Personality and Social Psychology, 76, 770-782.
22. Krempel, L., & Plümper, T. (2003). Exploring the dynamics of international trade by combining the comparative advantages of multivariate statistics and network visualization. Journal of Social Structure, 4(1) (electronic).
23. Laumann, E.O., Marsden, P.V., & Galaskiewicz, J. (1977). Community-elite influence structures: Extension of a network approach. American Journal of Sociology, 83(3), 594-631.
24. Laumann, E.O., & Pappi, F.U. (1976). Networks of collective action: A perspective on community influence systems. New York: Academic Press.
25. Legendre, P. (2000). Comparison of permutation methods for the partial correlation and partial Mantel tests. Journal of Statistical Computation and Simulation, 67(1), 37-73.
26. Legendre, P., & Anderson, M. (1999). Distance-based redundancy analysis: Testing multi-species responses in multi-factorial ecological experiments. Ecological Monographs, 69, 1-24.
27. Legendre, P., Lapointe, F.-J., & Casgrain, P. (1994) Modeling brain evolution from behavior: A permutational regression approach. Evolution, 48, 1487-1499.
28. Manly, B. (1997). Randomization, bootstrap, and Monte Carlo methods in biology (2nd edn.). London: Chapman & Hall.
29. Mantel, N. (1967). The detection of disease clustering and a generalized regression approach. Cancer Research, 27(2), 209-220.
30. Mizruchi, M.S. (1990). Capitalist collective action: Competition, cooperation, and conflict in the coal industry, by J.R. Bowman. American Journal of Sociology, 96(2), 473-475.
31. Nelson, R.E. (1989). The strength of strong ties: Social networks and intergroup conflict in organizations. Academy of Management Journal, 32, 377-401.
32. Oden, N.L., & Sokal, R.R. (1992). An investigation of 3-matrix permutation tests. Journal of Classification, 9(2), 275-290.
33. Oja, H. (1987). On permutation tests in multiple regression and analysis of covariance problems. Australian Journal of Statistics, 29, 81-100.
34. Pattison, P.E. (1988). Network models: Some comments on papers in this special issue. Social Networks, 10(4), 383-411.
35. Pitman, E. (1937). Significance tests which may be applied to samples from any population. Royal Statistical Society, Supplement, 4, 119-130.
36. Proctor, C.H. (1969). Analyzing pair data and point data on social relationships, attitudes and background characteristics of Costa Rican Census Bureau employees. Social Statistics Section, Proceedings of the American Statistical Association, pp. 457-465.
37. Smouse, P.E., Long, J.C., & Sokal, R.R. (1986). Mutiple regression and correlation extensions of the Mantel test of matrix correspondence. Systematic Zoology, 35(4), 627-632.
38. Snijders, T., Pattison, P., Robins, G., & Handcock, M. (2006). New specifications for exponential random graph models. Sociological Methodology, 36, 99-153.
39. Sorenson, O., & Stuart, T.E. (2001). Syndication networks and the spatial distribution of venture capital investments. American Journal of Sociology, 106(6), 1546-1588.
40. Stuart, A., & Ord, J.K. (2005). Kendall's advanced theory of statistics: Vol. 1. Distribution theory. London: Arnold.
41. Ter Braak, C. (1992). Permutation versus bootstrap significance tests in multiple regression and ANOVA. In K.-H. Jöckel, G. Rothe, & W. Sendler (Eds.) Bootstrapping and related techniques. Berlin: Springer.
42. Wasserman, S., & Pattison, P. (1996). Logit models and logistic regressions for social networks. 1. An introduction to Markov graphs and p*. Psychometrika, 61(3), 401-425.
43. Welch, W. (1990). Construction of permutation tests. Journal of the American Statistical Association, 85, 693-698.