References
- Aitkin , N. 1978 . “The Analysis of Unbalanced Cross-Classifications,” . Journal of the Royal Statistical Society , 141 : 195 – 223 . Ser. A
- Agresti , A. 1990 . Categorical Data Analysis , New York : Wiley .
- Barnwal , R. K. and Paul , S. R. 1988 . “Analysis of One-Way Layout of Count Data With Negative Binomial Variation,” . Biometrika , 75 : 215 – 222 .
- Bartoo , J. B. and Puri , P. S. 1967 . “On Optimal Asymptotic Tests of Composite Statistical Hypothesis,” . Annals of Mathematical Statistics , 38 : 1845 – 1852 .
- Bishop , Y. V. V. , Fienberg , S. E. and Holland , P. W. 1975 . Discrete Multivariate Analysis , Cambridge , MA : MIT Press .
- Breslow , N. 1990 . “Tests of Hypotheses in Overdispersed Poisson Regression and Other Quasi-Likelihood Models,” . Journal of the American Statistical Association , 85 : 565 – 571 .
- Chesher , A. 1984 . “Testing for Neglected Heterogeneity,” . Econometrica , 52 : 865 – 872 .
- Collings , B. J. 1981 . “The Negative Binomial Distribution: An Alternative to the Poisson,” , University of North Carolina at Chapel Hill, Program in Statistics . unpublished Ph.D. dissertation
- Cox , D. R. 1983 . “Some Remarks on Over-Dispersion,” . Biometrika , 70 : 269 – 274 .
- Cox , D. R. and Hinkley , D. V. 1974 . Theoretical Statistics , London : Chapman and Hall .
- Cox , D. R. 1978 . Problems and Solutions in Theoretical Statistics , London : Chapman and Hall .
- Dean , C. and Lawless , J. F. 1989a . “Tests for Detecting Overdispersion in Poisson Regression Models,” . Journal of the American Statistical Association , 84 : 467 – 472 .
- Dean , C. 1989b . “Discussion of ‘An Extension of Quasi-Likelihood Estimation’ by V. P. Godambe and M. E. Thompson,” . Journal of Statistical Planning and Inference , 22 : 155 – 158 .
- Engel , J. 1984 . “Models for Response Data Showing Extra-Poisson Variation,” . Statistica Neerlandica , 38 : 159 – 167 .
- International Mathematical and Statistical Libraries . 1991 . IMSL Manual , Houston , TX : The Numerical Solution Source .
- McCullagh , P. and Nelder , J. A. 1989 . Generalized Linear Models , London : Chapman and Hall .
- Moore , D. F. 1986 . “Asymptotic Properties of Moments Estimators for Overdispersed Counts and Proportions.” . Biometrika , 73 : 583 – 588 .
- Moore , D. F. and Tsiatis , A. 1991 . “Robust Estimation of the Standard Error in Moment Methods for Extra-Binomial, and Extra-Poisson Variation,” . Biometrics , 47 : 383 – 401 .
- Moran , P. A. P. 1970 . “On Asymptotically Optimal Tests of Composite Hypothesis,” . Biometrika , 57 : 47 – 55 .
- Nelder , J. and Wedderburn , R. W. M. 1972 . “Generalized Linear Models,” . Journal of the Royal Statistical Society , 135 : 370 – 384 . Ser. A
- Neyman , J. 1959 . “Optimal Asymptotic Tests of Composite Hypothesis,” . In Probability and Statistics: The Harold Cramer Volume , Edited by: Grenander , V. 213 – 234 . New York : Wiley .
- Neyman , J. and Scott , E. L. 1966 . “On the Use of C(α) Optimal Tests of Composite Hypotheses,” . Bulletins of the Institute of the International Statistics , 41 : 477 – 497 .
- Paul , S. R. and Islam , A. S. 1995 . “Analysis of Proportions in the Presence of Over/Under-Dispersion,” . Biometrics , 51 : 1400 – 1410 .
- Paul , S. R. and Plackett , R. L. 1978 . “Inference Sensitivity for Poisson Mixtures,” . Biometrika , 65 : 591 – 602 .
- Plackett , R. L. 1981 . The Analysis of Categorical Data , London : Griffin .
- Prentice , R. L. 1986 . “Binary Regression Using an Extended Beta-Binomial Distribution With Discussion on Correlation Induced by Co-variate Measurement Errors,” . Journal of the American Statistical Association , 81 : 321 – 327 .
- Quine , S. 1975 . “Achievement Orientation of Aboriginal and White Australian Adolescents,” , Australian National University . unpublished Ph.D. thesis
- Rao , C. R. 1947 . “Large Sample Tests of Statistical Hypotheses Concerning Several Parameters With Applications to Problems of Estimation,” . Proceedings of the Cambridge Philosophical Society , 44 : 50 – 57 .
- Rao , C. R. 1973 . Linear Statistical Inference , New York : Wiley .
- Scheffe , H. 1959 . The Analysis of Variance , New York : Wiley .
- Smyth , G. K. 1997 . “Goodness-of-Fit Statistics in Generalized Linear Models,” personal communication
- Thall , P. F. 1992 . “Score Tests in the Two-Way Layout of Counts,” . Communication in Statistics, Part A—Theory and Methods , 21 : 3017 – 3036 .