Asymptotic robustness in multiple group linear-latent variable models

Econometric Theory

Volumn 18, Issue 2, 2002, Pages 297-312

  Satorra, Albert ^a  

^a UNIVERSITAT POMPEU FABRA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036004225     PISSN: 02664666     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0266466602182041     Document Type: Article

References (29)

1. Aasness, J., E. Biørn, & T. Skjerpen (1993) Engel functions, panel data, and latent variables. Econometrica 61, 1395-1422.
2. Abowd, J.M. & D. Card (1989) On the covariance structure of earnings and hours changes. Econometrica 57, 411-445.
3. Altonji, J.G. & L.M. Segal (1996) Small-sample bias in GMM estimation of covariance structures. Journal of Business and Economic Statistics 14, 353-366.
4. Amemiya, Y. & T.W. Anderson (1990) Asymptotic chi-square tests for a large class of factor analysis models. Annals of Statistics 3, 1453-1463.
5. Anderson, T.W. (1987) Multivariate linear relations. In T. Pukkila & S. Puntanen (eds.), Proceedings of the Second International Conference in Statistics, pp. 9-36. Tampere, Finland: University of Tampere.
6. Anderson, T.W. (1989) Linear latent variable models and covariance structures. Journal of Econometrics 41, 91-119.
7. Anderson, T.W. & Y. Amemiya (1988) The asymptotic normal distribution of estimates in factor analysis under general conditions. Annals of Statistics 16, 759-771.
8. Behrman, J., M. Rosenzweig, & P. Taubman (1994) Endowments and the allocation of schooling in the family and in the marriage market: The twins experiment. Journal of Political Economy 102, 1131-1174.
9. Bentler, P.M. (1989) EQS Structural Equations Program Manual. Los Angeles: BMDP Statistical Software.
10. Browne, M.W. (1984) Asymptotically distribution-free methods for the analysis of covariance structures. British Journal of Mathematical and Statistical Psychology 37, 62-83.
11. Browne, M.W. (1987) Robustness in statistical inference in factor analysis and related models. Biometrika 74, 375-384.
12. Browne, M.W. & A. Shapiro (1988) Robustness of normal theory methods in the analysis of linear latent variable models. British Journal of Mathematical and Statistical Psychology 41, 193-208.
13. Chamberlain, G. (1982) Multivariate regression models for panel data. Journal of Econometrics 18, 5-46.
14. Clark, T.E. (1996) Small-sample properties of estimators of nonlinear models of covariance structure. Journal of Business and Economic Statistics 14, 367-373.
15. Fuller, W.A. (1987) Measurement Error Models. New York: Wiley.
16. Hansen, L.P. (1982) Large sample properties of generalized method of moments estimators. Econometric 50, 1029-1054.
17. Horowitz, J.L. (1998) Bootstrap methods for covariance structures. Journal of Human Resources 33, 39-61.
18. Jöreskog, K. & D. Sörbom (1989) LISREL 7: A Guide to the Program and Applications, 2nd ed. Chicago: SPSS.
19. Magnus J. & H. Neudecker (1999) Matrix Differential Calculus with Applications in Statistics and Econometrics, rev. ed. New York: Wiley.
20. Moore, D.S. (1977) Generalized inverses, Wald's method, and the construction of chi-squared tests of fit. Journal of the American Statistical Association 72, 131-137.
21. Newey, W.K. (1985) Generalized method of moment specification testing. Journal of Econometrics 29, 229-256.
22. Newey, W.K. (1988) Asymptotic equivalence of closest moments and GMM estimators. Econometric Theory 4, 336-340.
23. SAS (1990) CALIS and LOGISTIC Procedures. SAS Technical report P-200, SAS Institute, Cary, North Carolina.
24. Satorra, A. (1993) Asymptotic robust inferences in multiple-group analysis of augmented-moment structures. In C.M. Cuadras and C.R. Rao (eds.), Multivariate Analysis: Future Directions 2, pp. 211-229. Amsterdam: Elsevier.
25. Satorra, A. & P.M. Bentler (1990) Model conditions for asymptotic robustness in the analysis of linear relations. Computational Statistics and Data Analysis 10, 235-249.
26. Satorra, A. & H. Neudecker (1993) A matrix equality applicable in the analysis of mean and covariance structures. Econometric Theory 8, 581.
27. Satorra, A. & H. Neudecker (1994) On the asymptotic optimality of alternative minimum-distance estimates in linear latent-variable models. Econometric Theory 10, 867-883.
28. Shapiro, A. (1986) Asymptotic equivalence of minimum discrepancy function estimators to G.L.S. estimators. South African Statistical Journal 19, 73-81.
29. Stroud, T.W.F. (1972) Fixed alternatives and Wald's formulation of the noncentral asymptotic behavior of the likelihood ratio statistic. Annals of Mathematical Statistics 43, 447-454.