On the semi-parametric efficiency of logistic regression under case-control sampling

Bernoulli

Volumn 6, Issue 3, 2000, Pages 447-455

  Breslow, Norman E ^a   Robins, James M ^b   Wellner, Jon A ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

^b HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Biased sampling; Epidemiology; Influence function

Indexed keywords

EID: 0038524817     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.2307/3318670     Document Type: Article

References (14)

1. Andersen, P.K. and Gill, R.D. (1982) Cox's regression model for counting processes: a large sample study. Ann. Statist., 10, 1100-1120.
2. Anderson, J.A. (1972) Separate sample logistic discrimination. Biometrika, 59, 19-35.
3. Bickel, P.J., Klaassen, C.A.J., Ritov, Y. and Wellner, J. (1993) Efficient and Adaptive Estimation for Semiparametric Models. Baltimore, MD: Johns Hopkins University Press.
4. Breslow, N.B. (1996) Statistics in epidemiology: the case-control study. J. Amer. Statist. Assoc., 91, 14-28.
5. Chamberlain, G. (1987) Asymptotic efficiency in estimation with conditional moment restrictions. J. Econometrics, 34, 305-334.
6. Cornfield, J. (1951) A method of estimating comparative rates from clinical data. Applications to cancer of the lung, breast, and cervix. J. Nat. Cancer Inst., 11, 1269-1275.
7. Cosslett, S.R. (1981) Maximum likelihood estimator for choice-based samples. Econometrica, 49, 1289-1316.
8. Manski, C.F. and Lerman, S.R. (1977) The estimation of choice probabilities from choice-based samples. Econometrica, 45, 1977-1988.
9. McNeney, W.B. (1998) Asymptotic efficiency in semiparametric models with non-i.i.d. data. Ph.D. thesis, University of Washington.
10. Prentice, R.L. and Pyke, R. (1979) Logistic disease incidence models and case-control studies. Biometrika, 66, 403-411.
11. Rabinowitz, D. (1997) A note on efficient estimation from case-control data. Biometrika, 84, 486-488.
12. 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.
13. Roeder, K., Carroll, R.J. and Lindsay, B.G. (1996) A semiparametric mixture approach to case-control studies with errors in covariables. J. Amer. Statist. Assoc., 91, 722-732.
14. Weinberg, C.R. and Sandler, D.P. (1991) Randomized recruitment in case-control studies. Amer. J. Epidemiology, 134, 421-432.