Diagnostics for a Cumulative Multinomial Generalized Linear Model, with Applications to Grouped Toxicological Mortality Data

References

• Atkinson , A. C. 1985 . Plots, Transformations and Regression , Oxford , , UK : Clarendon Press .
   Google Scholar
• Beckman , R. J. , Nachtsheim , C. J. and Cook , R. D. 1987 . Diagnostics for Mixed-Model Analysis of Variance . Technometrics , 29 : 413 – 426 .
   Web of Science ®Google Scholar
• Belsley , D. A. , Kuh , E. and Welsch , R. E. 1980 . Regression Diagnostics , New York : John Wiley .
   Google Scholar
• Carter , E. M. and Hubert , J. J. “A Review of Methodologies Associated with Multivariate Bioassay,” . Proceedings of the Biopharmaceutical Section . pp. 156 – 159 . American Statistical Association .
   Google Scholar
• Chambers , J. M. , Cleveland , W. S. , Kleiner , B. and Tukey , P. A. 1983 . Graphical Methods for Data Analysis , Boston : Duxbury Press .
   Google Scholar
• Cook , R. D. 1977 . Detection of Influential Observations in Linear Regression . Technometrics , 19 : 15 – 18 .
   Web of Science ®Google Scholar
• Cook , R. D. 1986 . Assessment of Local Influence . Journal of the Royal Statistical Society , 48 : 133 – 169 . (with discussion), Ser. B
   Google Scholar
• Cook , R. D. and Weisberg , S. 1982 . Residuals and Influence in Regression , New York : Chapman and Hall .
   Google Scholar
• Cordeiro , G. M. 1983 . Improved Likelihood Ratio Statistics for Generalized Linear Models . Journal of the Royal Statistical Society , 45 : 404 – 413 . Ser. B
   Google Scholar
• DeGruttola , V. , Ware , J. H. and Louis , T. A. 1987 . Influence Analysis of Generalized Least Squares Estimators . Journal of the American Statistical Association , 82 : 911 – 917 .
   Web of Science ®Google Scholar
• Escobar , L. A. and Meeker , W. Q. Jr. 1992 . Assessing Influence in Regression Analysis with Censored Data . Biometrics , 48 : 507 – 528 .
   PubMed Web of Science ®Google Scholar
• Green , P. J. 1984 . Iteratively Reweighted Least Squares for Maximum Likelihood Estimation, and Some Robust and Resistant Alternatives . Journal of the Royal Statistical Society , 46 : 149 – 192 . (with discussion), Ser. B
   Google Scholar
• Healy , M. J. R. 1986 . Matrices for Statistics , Oxford , , UK : Clarendon Press .
   Google Scholar
• Jorgensen , B. 1983 . Maximum Likelihood Estimation and Large-Sample Inference for Generalized Linear and Nonlinear Models . Biometrika , 70 : 19 – 28 .
   Web of Science ®Google Scholar
• Landwehr , J. M. , Pregibon , D. and Shoemaker , A. C. 1984 . Graphical Methods for Assessing Logistic Regression Models . Journal of the American Statistical Association , 79 : 61 – 83 .
   Web of Science ®Google Scholar
• Larntz , K. 1978 . Small-Sample Comparisons of Exact Levels for Chi-Squared Goodness-of-Fit Statistics . Journal of the American Statistical Association , 73 : 253 – 263 .
   Web of Science ®Google Scholar
• Lawless , J. F. 1982 . Statistical Models and Methods for Lifetime Data , New York : John Wiley .
   Google Scholar
• Mallows , C. L. 1982 . Discussion of “Regression Diagnostics, Transformations and Constructed Variables,” . Journal of the Royal Statistical Society , 44 : 1 – 36 . by A. C. Atkinson, Ser. B
   Google Scholar
• McCullagh , P. 1980 . Regression Models for Ordinal Data . Journal of the Royal Statistical Society , 42 : 109 – 142 . (with discussion), Ser. B
   Google Scholar
• McCullagh , P. and Nelder , J. A. 1989 . Generalized Linear Models, , 2nd ed. , London : Chapman and Hall .
   Google Scholar
• O'Hara Hines , R. J. 1989 . Some Methods for the Analysis of Toxicological Mortality Data Grouped Over Time , University of Waterloo, Dept. of Statistics and Actuarial Science . unpublished Ph.D. thesis
   Google Scholar
• O'Hara Hines , R. J. and Lawless , J. F. Modelling Overdispersion in Toxicological Mortality Data Grouped Over Time (in press), unpublished manuscript submitted to Biometrics
   Google Scholar
• Petkau , A. J. and Sitter , R. R. 1989 . Models for Quantal Response Experiments Over Time . Biometrics , 45 : 1299 – 1307 .
   Web of Science ®Google Scholar
• Pettitt , A. N. and Bin Daud , I. 1989 . Case-Weighted Measures of Influence for Proportional Hazards Regression . Applied Statistics , 38 : 51 – 67 .
   Web of Science ®Google Scholar
• Pierce , D. A. and Schafer , D. W. 1986 . Residuals in Generalized Linear Models . Journal of the American Statistical Association , 81 : 977 – 986 .
   Web of Science ®Google Scholar
• Pierce , D. A. , Stewart , W. H. and Kopecky , K. J. 1979 . Distribution-Free Regression Analysis of Grouped Survival Data . Biometrics , 35 : 785 – 793 .
   PubMed Web of Science ®Google Scholar
• Pregibon , D. 1979 . Data Analytic Methods for Generalized Linear Models , University of Toronto, Department of Biostatistics . unpublished Ph.D. thesis
   Google Scholar
• Pregibon , D. 1981 . Logistic Regression Diagnostics . The Annals of Statistics , 9 : 705 – 724 .
   Web of Science ®Google Scholar
• Preisler , H. K. 1989 . Analysis of a Toxicological Experiment Using a Generalized Linear Model With Nested Random Effects . International Statistical Review , 57 : 145 – 159 .
   Web of Science ®Google Scholar
• Prentice , R. L. and Gloeckler , L. A. 1978 . Regression Analysis of Grouped Survival Data with Application to Breast Cancer Data . Biometrics , 34 : 57 – 67 .
   PubMed Web of Science ®Google Scholar
• Thomas , W. and Cook , R. D. 1990 . Assessing Influence on Predictions From Generalized Linear Models . Technometrics , 32 : 59 – 65 .
   Web of Science ®Google Scholar
• Williams , D. A. 1987 . Generalized Linear Model Diagnostics Using the Deviance and Single Case Deletions . Applied Statistics , 36 : 181 – 191 .
   Web of Science ®Google Scholar