References
- Bliss , C. 1934 . “The Method of Probits” . Science , 79 : 38 – 39 .
- Bliss , C. 1935 . “The Calculation of the Dose–Mortality Curve” . Annals of Applied Biology , 22 : 134 – 167 .
- Booth , J. G. and Hobert , J. P. 1998 . “Standard Errors of Prediction in Generalized Linear Mixed Models” . Journal of the American Statistical Association , 93 : 262 – 272 .
- Booth , J. G. and Hobert , J. P. 1999 . “Maximizing Generalized Linear Mixed Model Likelihoods With an Automated Monte Carlo EM Algorithm” . Journal of the Royal Statistical Society , 61 : 265 – 285 . Ser. B
- Box , G. E. P. and Cox , D. R. 1964 . “An Analysis of Transformations” . Journal of the Royal Statistical Society , 26 : 211 – 252 . (with discussion), Ser. B
- Breslow , N. E. and Clayton , D. G. 1993 . “Approximate Inference in Generalized Linear Mixed Models” . Journal of the American Statistical Association , 88 : 9 – 25 .
- Breslow , N. E. and Lin , X. 1994 . “Bias Correction in Generalized Linear Mixed Models With a Single Component of Dispersion” . Biometrika , 82 : 81 – 91 .
- Buzas , J. S. and Stefanski , L. A. 1996 . “Instrumental Variable Estimation in Generalized Linear Measurement Error Models” . Journal of the American Statistical Association , 91 : 999 – 1006 .
- Chan , K. S. and Ledolter , J. 1995 . “Monte Carlo EM Estimation for Time Series Models Involving Counts” . Journal of the American Statistical Association , 90 : 242 – 252 .
- Cook , R. D. and Croos-Dabrera , R. 1998 . “Partial Residual Plots in Generalized Linear Models” . Journal of the American Statistical Association , 93 : 730 – 739 .
- Cox , D. R. 1966 . “Some Procedures Connected With the Logistic Qualitative Response Curve,” . In Research Papers in Statistics , Edited by: David , F. N. 55 – 72 . New York : Wiley .
- Cox , D. R. and Snell , E. J. 1989 . Analysis of Binary Data , London : Chapman and Hall .
- David , H. A. 1995 . “First (?) Occurrence of Common Terms in Probability and Statistics” . The American Statistician , 49 : 121 – 133 .
- Davison , A. C. and Hinkley , D. V. 1997 . Bootstrap Methods and Their Application , Cambridge , , U.K. : Cambridge University Press .
- Dempster , A. P. , Laird , N. M. and Rubin , D. B. 1977 . “Maximum Likelihood From Incomplete Data via the EM Algorithm” . Journal of the Royal Statistical Society , 39 : 1 – 38 . (with discussion), Ser. B
- Efron , B. 1986 . “Double Exponential Families and Their Use in Generalized Linear Regression” . Journal of the American Statistical Association , 81 : 709 – 721 .
- Efron , B. and Tibshirani , R. J. 1993 . An Introduction to the Bootstrap , New York : Chapman and Hall .
- Finney , D. J. 1952 . Probit Analysis , Cambridge , , U.K. : Cambridge University Press .
- Firth , D. 1987 . “On the Efficiency of Quasi-Likelihood Estimation” . Biometrika , 74 : 233 – 245 .
- Fisher , R. A. 1935 . Appendix to “The Calculation of the Dose–Mortality Curve” . Annals of Applied Biology , 22 : 164 – 165 . by C. Bliss
- Fitzmaurice , G. M. 1995 . “A Caveat Concerning Independence Estimating Equations With Multivariate Binary Data” . Biometrics , 51 : 309 – 317 .
- Hastie , T. J. and Tibshirani , R. J. 1990 . Generalized Additive Models , London : Chapman and Hall .
- Heagerty , P. and Lele , S. 1998 . “A Composite Likelihood Approach to Binary Spatial Data” . Journal of the American Statistical Association , 93 : 1099 – 1111 .
- Heyde , C. C. 1997 . Quasi-Likelihood and Its Application , New York : Springer .
- Huber , P. J. “The Behaviour of Maximum Likelihood Estimators Under Nonstandard Conditions,” . Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability . Edited by: LeCam , L. M. and Neyman , J. pp. 221 – 233 .
- Jorgensen , B. 1997 . The Theory of Dispersion Models , London : Chapman and Hall .
- Li , K-C. and Duan , N. 1989 . “Regression Analysis Under Link Violation” . The Annals of Statistics , 17 : 1009 – 1052 .
- Liang , K-Y. and Zeger , S. L. 1986 . “Longitudinal Data Analysis Using Generalized Linear Models” . Biometrika , 73 : 13 – 22 .
- Lindsey , J. K. 1996 . Applying Generalized Linear Models , New York : Springer .
- Mallick , B. K. and Gelfand , A. E. 1994 . “Generalized Linear Models With Unknown Link Functions” . Biometrika , 81 : 237 – 245 .
- McCullagh , P. 1983 . “Quasi-Likelihood Functions” . The Annals of Statistics , 11 : 59 – 67 .
- McCullagh , P. and Nelder , J. 1983 . Generalized Linear Models , London : Chapman and Hall .
- McCulloch , C. 1997 . “Maximum Likelihood Algorithms for Generalized Linear Mixed Models” . Journal of the American Statistical Association , 92 : 162 – 170 .
- Nelder , J. A. and Wedderburn , R. W. M. 1972 . “Generalized Linear Models” . Journal of the Royal Statistical Society , 135 : 370 – 384 . Ser. A
- Pregibon , D. 1980 . “Goodness of Link Tests for Generalized Linear Models” . Applied Statistics , 29 : 15 – 24 .
- Pregibon , D. 1981 . “Logistic Regression Diagnostics” . The Annals of Statistics , 9 : 705 – 724 .
- Quintana , R. , Liu , J. and del Pino , G. 1999 . “Monte Carlo EM With Importance Reweighting and Its Application in Random Effects Models” . Computational Statistics and Data Analysis , 29 : 429 – 444 .
- Royall , R. 1986 . “Model Robust Inference Using Maximum Likelihood Estimators” . International Statistical Review , 54 : 221 – 226 .
- Schall , R. 1991 . “Estimation in Generalized Linear Models With Random Effects” . Biometrika , 78 : 719 – 727 .
- Skovgaard , I. M. 1996 . “An Explicit Large-Deviation Approximation to One-Parameter Tests” . Bernoulli , 2 : 145 – 165 .
- Stefanski , L. A. and Carroll , R. J. 1990 . “Score Tests in Generalized Linear Measurement Error Models” . Journal of the Royal Statistical Society , 52 : 345 – 359 . Ser. B
- Stiratelli , R. , Laird , N. and Ware , J. H. 1984 . “Random-Effects Models for Serial Observations With Binary Response” . Biometrics , 40 : 961 – 971 .
- Wedderburn , R. W. M. 1974 . “Quasi-Likelihood Functions, Generalized Linear Models, and the Gauss–Newton Method” . Biometrika , 61 : 439 – 447 .
- Weisberg , S. and Welsh , A. H. 1994 . “Adapting for the Missing Link” . The Annals of Statistics , 22 : 1674 – 1700 .
- Wolfinger , R. W. 1994 . “Laplace's Approximation for Nonlinear Mixed Models” . Biometrika , 80 : 791 – 795 .
- Zeger , S. and Liang , K-Y. 1986 . “Longitudinal Data Analysis for Discrete and Continuous Outcomes” . Biometrics , 42 : 121 – 130 .