A Numerical Study of PQL Estimation Biases in Generalized Linear Mixed Models Under Heterogeneity of Random Effects

References

• Beitler , P. J. , Landis , J. R. ( 1985 ). A mixed-effects model for categorical data . Biometrics 41 : 991 – 1000 .
   PubMed Web of Science ®Google Scholar
• Breslow , N. E. ( 2005 ). Whither PQL? In: Proceedings of the Second Seattle Symposium in Biostatistics . New York : Springer .
   Google Scholar
• Breslow , N. E. , Clayton , D. G. ( 1993 ). Approximate inference in generalized linear mixed models . Journal of American Statistical Association 88 : 9 – 25 .
   Web of Science ®Google Scholar
• Breslow , N. E. , Lin , X. ( 1995 ). Bias correction in generalized linear mixed models with a single component of dispersion . Biometrika 82 : 81 – 91 .
   Web of Science ®Google Scholar
• Harville , D. A. ( 1977 ). Maximum likelihood approaches to variance component estimation and to related problems . Journal of American Statistical Association 72 : 320 – 340 .
   Web of Science ®Google Scholar
• Henderson , R. , Oman , P. ( 1999 ). Effect of frailty on marginal regression estimates in survival analysis . Journal of the Royal Statistical Society: Series B 61 : 367 – 379 .
   Google Scholar
• Lee , Y. , Nelder , J. A. ( 1996 ). Hierarchical generalized linear models . Journal of the Royal Statistical Society: Series B 58 : 619 – 678 .
   Google Scholar
• Li , H. , Zhong , X. ( 2002 ). Multivariate survival models induced by genetic frailties, with applications to linkage analysis . Biostatistics 3 : 57 – 75 .
   PubMed Web of Science ®Google Scholar
• Lin , X. ( 1997 ). Variance component testing in generalised linear models with random effects . Biometrika 84 : 309 – 326 .
   Web of Science ®Google Scholar
• Lin , X. , Breslow , N. E. ( 1996 ). Bias correction in generalized linear mixed models with multiple components of dispersion . Journal of American Statistical Association 91 : 1007 – 1016 .
   Web of Science ®Google Scholar
• McCullagh , P. , Nelder , J. A. ( 1989 ). Generalized Linear Models . London : Chapman and Hall .
   Google Scholar
• Neuhaus , J. M. ( 1998 ). Estimation efficiency with omitted covariates in generalized linear models . Journal of American Statistical Association 93 : 1124 – 1129 .
   Web of Science ®Google Scholar
• Schall , R. ( 1991 ). Estimation in generalized linear models with random effects . Biometrika 78 : 719 – 727 .
   Web of Science ®Google Scholar
• Wolfinger , R. ( 1993 ). Laplace's approximation for nonlinear mixed models . Biometrika 80 : 791 – 795 .
   Web of Science ®Google Scholar
• Zeger , S. L. , Liang , K. Y. ( 1986 ). Longitudinal data analysis for discrete continuous outcomes . Biometrics 42 : 121 – 130 .
   PubMed Web of Science ®Google Scholar