Maximum likelihood for generalised case-control studies

Journal of Statistical Planning and Inference

Volumn 96, Issue 1, 2001, Pages 3-27

  Scott, A J ^a   Wild, C J ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Case control studies; Missing data problems; Regression models; Response selective sampling; Retrospective studies; Stratified sampling; Two stage sampling

Indexed keywords

EID: 0013195904     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(00)00317-7     Document Type: Article

References (29)

1. Anderson J.A. Separate sample logistic discrimination. Biometrika. 59:1972;19-35.
2. Binder D.A. On the variances of asymptotically normal estimators from complex surveys. Internat. Statist. Rev. 51:1983;279-292.
3. Breslow N.E. Statistics in epidemiology: the case-control study. J. Amer. Statist. Assoc. 91:1996;14-28.
4. Breslow N.E., Cain K.C. Logistic regression for two-stage case-control data. Biometrika. 75:1988;11-20.
5. Breslow, N.E., Chatterjee, N., 1998. Design and analysis of two-phase studies with binary outcomes. Unpublished manuscript.
6. Breslow N.E., Holubkov R. Maximum likelihood estimation of logistic regression parameters under two-phase outcome-dependent sampling. J. Roy. Statist. Soc. B. 59:1997;447-461.
7. Carroll R.J., Ruppert D., Stefanski L.A. Measurement Error in Nonlinear Models. 1995;Chapman & Hall, New York.
8. Clayton D., Hills M. Statistical Models in Epidemiology. 1993;Oxford University Press, Oxford.
9. Fears T.R., Brown C.C. Logistic regression methods for retrospective case-control studies using complex sampling procedures. Biometrics. 42:1986;955-960.
10. Gill R.D., Vardi Y., Wellner J.A. Large sample theory of empirical distributions in biased sampling models. Ann. Statist. 16:1988;1069-1112.
11. Hu X.J., Lawless J.F. Estimation from truncated lifetime data with supplementary information on covariates and censoring times. Biometrika. 83:1996;747-761.
12. Hu X.J., Lawless J.F. Pseudo likelihood estimation in a class of problems with response-related missing covariates. Canad. J. Statist. 25:1997;125-142.
13. Lawless J.L., Kalbfleish J.D., Wild C.J. Estimation for response-selective and missing data problems in regression. J. Roy. Statist. Soc. B. 61:1999;413-438.
14. Lee A.J., McMurchy L., Scott A.J. Re-using data from case-control studies. Statist. Med. 16:1997;1377-1389.
15. Palmgren, J., 1989. Regression models for bivariate binary responses. Department of Biostatistics Technical Report 101, School of Public Health and Community Medicine, University of Washington.
16. Pepe M.S., Fleming T.R. A nonparametric method for dealing with mismeasured covariate data. J. Amer. Statist. Assoc. 86:1991;108-113.
17. Prentice R.L., Pyke R. Logistic disease incidence models and case-control studies. Biometrika. 66:1979;403-411.
18. Reilly M., Pepe M.S. A mean score method for missing and auxiliary covariate data in regression models. Biometrika. 82:1995;299-314.
19. Richards F.S.G. A method of maximum-likelihood estimation. J. Roy. Statist. Soc. B. 23:1961;469-476.
20. Robins J.M., Hsieh F., Newey W. Semiparametric efficient estimation of a conditional density with missing or mismeasured covariates. J. Roy. Statist. Soc. B. 57:1995;409-424.
21. Robins J.M., Rotnitzky A., Zhao L.P., Lipsitz S. Estimation of regression coefficients when some regressors are not always observed. J. Amer. Statist. Assoc. 89:1994;846-866.
22. Scott A.J., Wild C.J. Fitting logistic models under case-control or choice based sampling. J. Roy. Statist. Soc. B. 48:1986;170-182.
23. Scott, A.J., Wild, C.J., 1989. Selection based on the response in logistic regression. In: Skinner, C.J., Holt, D., Smith, T.M.F. (Eds.), Analysis of Complex Surveys. Wiley, New York (Chapter 9).
24. Scott A.J., Wild C.J. Fitting logistic models in stratified case-control studies. Biometrics. 47:1991;497-510.
25. Scott A.J., Wild C.J. Fitting regression models to case-control data by maximum likelihood. Biometrika. 84:1997;57-71.
26. Scott, A.J., Wild, C.J., 1998. Computing MLEs for case-control data. Unpublished manuscript.
27. Seber G.A.F., Wild C.J. Nonlinear Regression. 1989;Wiley, New York.
28. Whittemore A.S. Logistic regression of family data from case-control studies. Biometrika. 82:1995;57-67.
29. Zhao L.P., Hsu L., Holte S., Chen Y., Quiaoit F., Prentice R.L. Combined association and aggregation analysis of data from case-control family studies. Biometrika. 85:1998;299-317.