References
- Agresti , A. 1992 . “A Survey of Exact Inference for Contingency Tables” . Statistical Science , : 131 – 177 . (with discussion)
- Amemiya , Y. and Fuller , W. A. 1988 . “Estimation for the Nonlinear Functional Relationship,” . The Annals of Statistics , 16 : 147 – 160 .
- Armstrong , B. G. , Whittemore , A. S. and Howe , G. R. 1989 . “Analysis of Case-Control Data With Covariate Measurement Error: Application to Diet and Colon Cancer,” . Statistics in Medicine , 8 : 1151 – 1163 .
- Bratley , P. , Fox , B. L. and Schrage , L. E. 1987 . A Guide to Simulation, , 2nd ed. , New York : Springer-Verlag .
- Breslow , N. E. and Day , N. E. 1980 . Statistical Methods in Cancer Research, Vol. 1. The Analysis of Case-Control Studies , Lyon : International Agency for Research on Cancer .
- Breslow , N. E. and Powers , W. 1978 . “Are There Two Logistic Regressions for Retrospective Studies?,” . Biometrics , 34 : 100 – 105 .
- Carroll , R. J. , Gail , M. H. and Lubin , J. H. 1993 . “Case-Control Studies With Errors in Covariates,” . Journal of the American Statistical Association , 88 : 185 – 199 .
- Carroll , R. J. , Spiegelman , C. H. , Lan , K. K. , Bailey , K. J. and Abbott , R. D. 1984 . “On Errors in Variables for Binary Regression Models,” . Biometrika , 71 : 19 – 25 .
- Carroll , R. J. and Stefanski , L. A. 1990 . “Approximate Quasi-Likelihood Estimation in Models With Surrogate Predictors,” . Journal of the American Statistical Association , 85 : 652 – 663 .
- Cornfield , J. 1951 . “A Method of Estimating Comparable Rates From Clinical Data,” . Journal of the National Cancer Institute , 11 : 1269 – 1275 .
- Cox , D. R. and Snell , E. 1989 . Analysis of Binary Data , New York : Chapman and Hall .
- Forbes , A. B. 1990 . “Asymptotic Properties of Log Odds Ratio Regression Estimators With Sparse Strata and Covariate Measurement Error,” , Cornell University, Statistics Center . unpublished Ph.D. dissertation
- Forbes , A. B. and Santner , T. J. 1993 . “A Note on Conditions for the Asymptotic Normality of the Conditional Maximum Likelihood Estimator in Log Odds Ratio Regression,” . Statistics and Probability Letters , 18 : 137 – 146 .
- Forbes , A. B. and Santner , T. J. 1994 . “Estimators of Odds Ratio Regression Parameters in Matched Case-Control Studies With Covariate Measurement Error,” , Ohio State University, Dept. of Statistics . Technical Report 483
- Hayes , R. B. , Pottern , L. M. , Greenberg , R. , Schoenberg , J. , Swanson , G. M. , Liff , J. , Schwartz , A. G. , Brown , L. M. and Hoover , R. N. 1993 . “Vasectomy and Prostate Cancer in U.S. Blacks and Whites,” . American Journal of Epidemiology , 137 : 263 – 269 .
- Huber , P. J. “The Behavior of Maximum Likelihood Estimators Under Nonstandard Conditions,” . Proceedings of the Fifth Berkeley Symposium . pp. 221 – 233 .
- International Mathematical and Statistical Libraries, Inc. 1991 . Version 2 , Houston , TX : Author .
- Prentice , R. L. 1976 . “Use of the Logistic Model in Retrospective Studies,” . Biometrics , 32 : 599 – 606 .
- Prentice , R. L. and Pyke , R. 1979 . “Logistic Disease Incidence Models and Case-Control Studies,” . Biometrika , 66 : 403 – 411 .
- Rosenberg , L. , Palmer , J. R. and Shapiro , S. 1993 . “A Case-Control Study of Myocardial Infarction in Relation to Use of Estrogen Supplements,” . American Journal of Epidemiology , 137 : 54 – 63 .
- Rosner , B. , Willett , W. C. and Spiegelman , D. 1989 . “Correction of Logistic Regression Relative Risk Estimates and Confidence Intervals for Systematic Within-Person Measurement Error,” . Statistics in Medicine , 8 : 1051 – 1070 .
- Santner , T. J. and Duffy , D. E. 1989 . The Statistical Analysis of Discrete Data , New York : Springer-Verlag .
- Schafer , D. W. 1987 . “Covariate Measurement Error in Generalized Linear Models,” . Biometrika , 74 : 385 – 391 .
- Stefanski , L. A. 1983 . “Influence and Measurement Error in Logistic Regression,” , Chapel Hill : University of North Carolina . Institute of Statistics Mimeo Series, No. 1548
- Stefanski , L. A. 1985 . “The Effects of Measurement Error on Parameter Estimation,” . Biometrika , 74 : 385 – 391 .
- Stefanski , L. A. 1989 . “Correcting Data for Measurement Error in Generalized Linear Models,” . Communications in Statistics–Theory and Methods , 18 : 1715 – 1733 .
- Stefanski , L. A. and Carroll , R. J. 1985 . “Covariate Measurement Error in Logistic Regression,” . The Annals of Statistics , 13 : 1335 – 1351 .
- Whittemore , A. S. and Keller , J. B. 1988 . “Approximations for Regression With Covariate Measurement Error,” . Journal of the American Statistical Association , 83 : 1057 – 1066 .
- Wolter , K. M. and Fuller , W. A. 1982 . “Estimation of Nonlinear Errors-in-Variables Model,” . The Annals of Statistics , 10 : 539 – 548 .