On the robustness of weighted methods for fitting models to case-control data

Journal of the Royal Statistical Society. Series B: Statistical Methodology

Volumn 64, Issue 2, 2002, Pages 207-219

  Scott, Alastair ^a   Wild, Chris ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Case control studies; Horvitz Thompson estimator; Logistic regression; Semiparametric maximum likelihood; Survey weights

Indexed keywords

EID: 0036431152     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00333     Document Type: Article

References (18)

1. Anderson, J.A. (1972) Separate sample logistic discrimination. Biometrika, 59, 19-35.
2. Binder, D.A. (1983) On the variances of asymptotically normal estimators from complex surveys. Int. Statist. Rev., 51, 279-292.
3. Breslow, N.E. (1996) Statistics in epidemiology: the case-control study. J. Am. Statist. Ass., 91, 14-28.
4. Breslow, N.E. and Holubkov, R. (1997) Maximum likelihood estimation of logistic regression parameters under two-phase, outcome-dependent sampling. J. R. Statist. Soc. B, 59, 447-461.
5. Cosslett, S. (1981) Efficient estimation of discrete choice models. In Structural Analysis of Discrete Data with Econometric Applications (eds C.F. Manski and D. McFadden), pp. 191-205. New York: Wiley.
6. Elliot, M.R. and Little, R.J.A. (2000) Model-based alternatives to trimming survey weights. J. Off. Statist., 16, 191-209.
7. Godambe, V.P. and Thompson, M.E. (1986) Parameters of superpopulations and survey populations: their relationship and estimation. Int. Statist. Rev., 54, 127-138.
8. Godambe, V.P. and Vijayan, K. (1996) Optimal estimation for response-dependent retrospective sampling. J. Am. Statist. Ass., 91, 1724-1734.
9. Kish, L. and Frankel, M.R. (1974) Inference from complex samples. J. R. Statist. Soc. B, 36, 1-22.
10. Lawless, J.F., Kalbfleisch, J.D. and Wild, C.J. (1999) Semiparametric methods for response-selective and missing data problems in regression. J. R. Statist. Soc. B, 61, 413-438.
11. Manski, C.F. and Thompson, T.S. (1989) Estimation of best predictors of binary response. Econometrica, 45, 317-337.
12. Pfeffermann, D. (1993) The role of sampling weights when modeling survey data. Int. Statist. Rev., 61, 127-138.
13. Prentice, R.L. and Pyke, R. (1979) Logistic disease incidence models and case-control studies. Biometrika, 66, 403-411.
14. Rabinowitz, D. (1997) A note on efficient estimation from case-control data. Biometrika, 84, 486-488.
15. Scott, A.J. and Wild, C.J. (1986) Fitting logistic models under case-control or choice based sampling. J. R. Statist. Soc. B, 48, 170-182.
16. _, (1989) Selection based on the response in logistic regression. In Analysis of Complex Surveys (eds C.J. Skinner, D. Holt and T.M.F. Smith), pp. 191-505. New York: Wiley.
17. Smith, T.M.F. (1988) To weight or not to weight?; that is the question. In Bayesian Statistics 3 (eds J.M. Bernardo, M.H. DeGroot, D.V. Lindley and A.F.M. Smith), pp. 437-451. Oxford: Oxford University Press.
18. Xie, Y. and Manski, C.F. (1989) The logit model and response-based samples. Sociol. Meth. Res., 17, 283-302.