Joint conditional likelihood estimator in logistic regression with missing covariate data

Statistica Sinica

Volumn 12, Issue 2, 2002, Pages 555-574

  Wang, C Y ^a   Chen, J C ^b   Lee, S M ^c   Ou, S T ^d  

^a USA   (United States)

^b FU JEN CATHOLIC UNIVERSITY   (Taiwan)

^c FENG CHIA UNIVERSITY   (Taiwan)

^d TAMKANG UNIVERSITY   (Taiwan)

Author keywords

Conditional likelihood; Errors in variable; Logistic regression; Two phase design

Indexed keywords

EID: 0036556530     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Bruemmer, B., White, E., Vaughan, T. and Cheney, C. (1996). Nutrient intake in relationship to bladder cancer among middle aged men and women. Amer. J. Epidemiology 144, 485-495.
2. Breslow, N. E. and Cain, K. C. (1988). Logistic regression for two-stage case-control data. Biometrika 75, 11-20.
3. Breslow, N. E. and Chatterjee N. (1999). Design and analysis of two-phase studies with binary outcome applied to Wilms tumour prognosis. Appl. Statist. 48, 457-468.
4. Breslow, N. E. and Holubkov, R. (1997). Maximum likelihood estimation for logistic regression parameters under two-phase, outcome-dependent sampling. J. R. Statist. Soc. Ser. B 59, 447-461.
5. Carroll, R. J., Ruppert, D. and Stefanski, L. A. (1995). Measurement Error in Nonlinear Models. Chapman and Hall, London.
6. Chen, Y. H. and Chen H. (2000). A unified approach to regression under double sampling design. J. R. Statist. Soc. Ser. B 62, 449-460.
7. Foutz, R. V. (1977). On the unique consistent solution to the likelihood equations. J. Amer. Statist. Assoc. 72, 147-148.
8. Horvitz, D. G. and Thompson, D. J. (1952). A generalization of sampling without replacement from a finite universe. J. Amer. Statist. Assoc. 47, 663-685.
9. Reilly, M. and Pepe, M. S. (1995). A mean-score method for missing and auxiliary covariate data in regression models. Biometrika 82, 299-314.
10. Robins, J. M., Rotnitzky, A. and Zhao, L. P. (1994). Estimation of regression coefficients when some regressors are not always observed. J. Amer. Statist. Assoc. 89, 846-866.
11. Rubin, D. B. (1976). Inference and missing data. Biometrika 63, 581-592.
12. Satten, G. A. and L. L. Kupper (1993). Inferences about exposure-disease association using probability of exposure information. J. Amer. Statist. Assoc. 88, 200-208.
13. Schill, W., Jöckel, K.-H., Drescher, K. and Timm, J. (1993). Logistic analysis in case-control studies under validation sampling. Biometrika 80, 339-352.
14. Scott, A. J. and Wild, C. J. (1997). Fitting regression models to case-control data by maximum likelihood. Biometrika 84, 57-71.
15. Wang, C. Y. and Wang, S. (1997). Semiparametric methods in logistic regression with measurement error. Statist. Sinica 7, 1103-1120.
16. Wang, C. Y., Wang, S. and Carroll, R. J. (1997). Estimation in choice-based sampling with measurement error and bootstrap analysis. J. Econometrics 77, 65-86.
17. Wang, C. Y., Wang, S., Zhao, L. P. and Ou, S. T. (1997). Weighted semiparametric estimation in regression analysis with missing covariate data. J. Amer. Statist. Assoc. 92, 512-525.