411
Views
97
CrossRef citations to date
0
Altmetric
Theory and Method

Bias Analysis and SIMEX Approach in Generalized Linear Mixed Measurement Error Models

, , &
Pages 249-261 | Received 01 Nov 1996, Published online: 17 Feb 2012

References

  • 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. 1995 . “Bias Correction in Generalized Linear Mixed Models With a Single Component of Dispersion” . Biometrika , 82 : 81 – 91 .
  • Carroll , R. J. , Küchenhoff , H. , Lombard , F. and Stefanski , L. A. 1996 . “Asymptotics for the SIMEX Estimator in Structural Measurement Error Models” . Journal of the American Statistical Association , 91 : 242 – 250 .
  • Carroll , R. J. , Ruppert , D. and Stefanski , L. A. 1995 . Measurement Error in Nonlinear Models , London : Chapman and Hall .
  • Cook , J. and Stefanski , L. A. 1995 . “A Simulation Extrapolation Method for Parametric Measurement Error Models” . Journal of the American Statistical Association , 89 : 1314 – 1328 .
  • Davidian , M. and Giltinan , D. M. 1995 . Nonlinear Models for Repeated Measurement Data , London : Chapman and Hall .
  • Fuller , W. A. 1987 . Measurement Error Models , New York : Wiley .
  • Harville , D. A. 1977 . “Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems” . Journal of the American Statistical Association , 72 : 320 – 340 .
  • Lin , X. 1997 . “Variance Components Testing in Generalized Linear Models With Random Effects” . Biometrika , 84 : 309 – 326 .
  • Lin , X. and Breslow , N. E. 1996 . “Bias Correction in Generalized Linear Mixed Models With Multiple Components of Dispersion” . Journal of the American Statistical Association , 91 : 1007 – 1016 .
  • Liu , Q. and Pierce , D. A. 1993 . “Heterogeneity in Mantel-Haenzel-Type Models” . Biometrika , 80 : 543 – 556 .
  • McCulloch , C. E. 1997 . “Maximum Likelihood Algorithms for Generalized Linear Mixed Models” . Journal of the American Statistical Association , 92 : 162 – 170 .
  • Schall , R. 1991 . “Estimation in Generalized Linear Models With Random Effects” . Biometrika , 40 : 917 – 927 .
  • Stefanski , L. A. and Cook , J. R. 1995 . “Simulation-Extrapolation: The Measurement Error Jackknife” . Journal of the American Statistical Association , 90 : 1247 – 1256 .
  • Stiratelli , R. , Laird , N. and Ware , J. 1984 . “Random Effect Models for Serial Observations With Binary Response” . Biometrics , 40 : 961 – 971 .
  • Tosteson , T. , Stefanski , L. A. and Schafer , D. W. 1989 . “A Measurement Error Model for Binary and Ordinal Regression” . Statistics in Medicine , 8 : 1139 – 1147 .
  • Wang , N. , Carroll , R. J. and Liang , K. Y. 1996 . “Quasi-Likelihood and Variance Functions in Measurement Error Models With Replicates” . Biometrics , 52 : 401 – 411 .
  • Wang , N. , Lin , X. and Gutierrez , R. G. 1997 . “A Corrected Regression Calibration Approach in Generalized Linear Mixed Measurement Error Models,” , Texas A&M University, Dept. of Statistics . Technical Report 285
  • Wang , N. , Lin , X. , Gutierrez , R. G. and Carroll , R. J. 1997 . “Bias Analysis and SIMEX Inference in Generalized Linear Mixed Measurement Error Models,” , Texas A&M University, Dept. of Statistics . Technical Report 275
  • Zeger , S. L. and Karim , M. R. 1991 . “Generalized Linear Models With Random Effects: A Gibbs Sampling Approach” . Journal of the American Statistical Association , 86 : 79 – 86 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.