Local influence analysis for mixture of structural equation models

Journal of Classification

Volumn 21, Issue 1, 2004, Pages 111-137

  Song, Xin Yuan ^a   Lee, Sik Yum ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Gibbs sampler; MCEM algorithm; Mixture structural equation models; Perturbation; Q displacement function

Indexed keywords

EID: 3042677613     PISSN: 01764268     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00357-004-0008-x     Document Type: Article

References (24)

1. ARMINGER, G., STEIN, P., and WITTERBERG (1999), Mixtures of conditional mean- and covariance-structure models. Psychometrika, 64, 475-494.
2. COOK, R. D. (1986), Assessment of local influence (with discussion). Journal of the Royal Statistical Society, Series B, 48, 133-169.
3. CRAWFORD, S. L. (1994), An application of the Laplace method to finite mixture distributions. Journal of the American Statistical Association, 89, 259-267.
4. DEMPSTER, A. P., LAIRD, N. M., and RUBIN, D. B. (1977), Maximum likelihood from incomplete data via the EM algorithm (with discussion). Journal of the Royal Statistical Society, Series B, 39, 1-38.
5. DOLAN, C. V., and VAN DER MAAS, J. J. L. (1998), Fitting multivariate normal mixtures subject to structural equation modeling. Psychometrika, 63, 227-253.
6. GEMAN, S., and GEMAN, D. (1984), Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 6, 721-741.
7. JEDIDI, K., JAGPAL, H. S., and DESARBO, W. S. (1997), STEMM: A general finite mixture structural equation model. Journal of Classification, 14, 23-50
8. KASS, R. E., and RAFTERY, A. E. (1995), Bayes Factors. Journal of the American Statistical Association, 90, 773-795.
9. KWAN, C. W., and FUNG, W. K. (1998), Assessing local influence for specific restricted likelihood: Application to factor analysis. Psychometrika, 63, 35-46.
10. LEE, S. Y., and SONG, X. Y. (2003), Maximum likelihood estimation and model comparison for mixture of structural equation models with ignorable missing data. Journal of Classification, 20, 221-255.
11. LEE, S. Y., and WANG, S. J. (1996), Sensitivity analysis of structural equation models. Psychometrika, 61, 93-108.
12. MENG, X. L., and RUBIN, D. B. (1993), Maximum likelihood estimation via the ECM algorithm: A general framework. Biometrika, 80, 267-278.
13. POON, W. Y., and POON, Y. S. (1999), Conformal normal curvature and assessment of local influence. Journal of the Royal Statistical Society, Series B, 61, 51-61.
14. POON, W. Y., WANG, S. J., and LEE, S. Y. (1999), Influence analysis of structural equation models with polytomous variables. Psychometrika, 64, 461-473.
15. REDNER, R. A., and WALKER, H. F. (1984), Mixture densities, maximum likelihood and the EM algorithm. SIAM Review, 26, 195-239.
16. SHI, J. Q., and COPAS, J. (2002), Publication bias and meta-analysis for 2 × 2 tables: an average Markov chain Monte Carlo EM algorithm. Journal of the Royal Statistical Society, Series B, 64, 221-236.
17. TANAKA, Y., and ODAKA, Y. (1989), Influential observations in principal factor analysis. Psychometrika, 54, 475-485.
18. TITTERINGTON, D. M., SMITH, A. F. M., and MAKOV, U. E. (1985), Statistical Analysis of Finite Mixture Distributions. New York: John Wiley.
19. WANG, S. J., and LEE, S. Y. (1996), Sensitivity analysis of structural equation models with equality functional constraints. Computational Statistics and Data Analysis, 23, 239-256.
20. WEI, G. C. G., and TANNER, M. A. (1990), A Monte Carlo implementation of the EM algorithm and the poor man's data augmentation algorithm. Journal of the American Statistical Association, 85, 699-704.
21. WORLD VALUES SURVEY, 1981-1984 AND 1990-1993. (1994), ICPSR version. Ann Arbor, MI: Institute for Social Research [producer], 1994. Ann Arbon, MI: Interuniversity Consortium for Political and Social Research [distribution], 1994.
22. YUNG, Y. F. (1997), Finite mixtures in confirmatory factor-analysis models. Psychometrika, 62, 297-330.
23. ZHU, H. T., and LEE, S. Y. (2001a), Local influence for incomplete data models. Journal of the Royal Statistical Society, Series B, 63, 111-126.
24. ZHU, H. T., and LEE, S. Y. (2001b), A Bayesian analysis of finite mixtures in the LISREL model. Psychometrika, 66, 133-152.