Large cluster results for two parametric multinomial extra variation models

Journal of the American Statistical Association

Volumn 93, Issue 443, 1998, Pages 1078-1087

  Neerchal, Nagaraj K ^a   Morel, Jorge G ^b  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

^b PROCTER AND GAMBLE COMPANY   (United States)

Author keywords

Dirichlet multinomial; Goodness of fit test; Joint asymptotic relative efficiency; Maximum likelihood estimation; Mixture distributions; Parametric bootstrapping; Quasi likelihood method

Indexed keywords

EID: 0032347702     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1998.10473769     Document Type: Article

References (16)

1. Abramowitz, M., and Stcgum, I. A. (1972), Handbook of Mathematical Functions, New York: Dover.
2. Brier, S. S. (1980), "Analysis of Contingency Tables Under Cluster Sampling," Biometrika, 67, 591-596.
3. Haseman, J. K., and Hogan, M. D. (1975), "Selection of Experimental Unit in Teratology Studies," Teratology, 12, 165-172.
4. Haseman, J. K., and Soares, E. R. (1976), "The Distribution of Fetal Death in Control Mice and Its Implications on Statistical Tests for Dominant Lethal Effects," Mutation Research, 41, 277-288.
5. Koehler, K. J., and Wilson, J. R. (1986), "Chi-Squared Tests for Comparing Vector of Proportions for Several Cluster Sampling," Communications in Statistics, A15, 2977-2990.
6. McCullagh P., and Nelder, J. A. (1989), Generalized Linear Models, (2nd ed.), New York: Chapman and Hall.
7. More, J. G. (1992), "A Simple Algorithm for Generating Multinomial Random Vectors With Extra Variation," Communications in Statistics, 21, 1255-1268.
8. Morel, J. G., and Nagaraj, N. K. (1993), "A Finite Mixture Distribution for Modelling Multinomial Extra Variation," Biometrika, 80, 363-371.
9. Morel, J. G., and Neerchal, N. K. (1997), "Clustered Binary Logistic Regression in Teratology Data Using a Finite Mixture Distribution" Statistics in Medicine, 16, 2843-2853.
10. Mosimann, J. E. (1962), "On the Compound Multinomial Distribution, the Multivariate ^-Distribution, and Correlation Among Proportions," Biometrika, 49, 65-82.
11. Nelder, J. A., and Pregibon, D. (1987), "An Extended Quasi-Likelihood Function," Biometrika, 74, 221-232.
12. Soares, E. R., and Sheridan, W. (1975), "Lack of Induction of Dominant Lethals in Mice by Orally Administered AF-2," Mutation Research, 31, 235-240.
13. Stuart, A., and Ord, J. K. (1991), Kendall's Advanced Theory of Statistics, New York: Oxford University Press.
14. Yanez, N. D., and Wilson, J. R. (1995), "Comparison of Quasi-Likelihood Models for Overdispersion," Australian Journal of Statistics, 37, 217-231.
15. Wedderburn, R. W. M. (1974), "Quasi-Likelihood Functions, Generalized Linear Models, and the Gauss-Newton Method," Biometrika, 61, 439-447.
16. Wilson, J. R. (1989), "Chi-Squared Tests for Overdispersion With Multiparameter Estimates," Applied Statistics, 38, 441-453.