Generalized case-cohort sampling

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

Volumn 63, Issue 4, 2001, Pages 791-809

  Chen, Kani ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Collocation; Integral operator; Missing data; Partial likelihood; Projection; Pseudo likelihood

Indexed keywords

EID: 0035650062     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00313     Document Type: Article

References (29)

1. Andersen, P. K. and Gill, R. D. (1982) Cox's regression model for counting processes: a large sample study. Ann. Statist., 10, 1100-1200.
2. Anderson, J. A. (1972) Separate sample logistic discrimination. Biometrika, 59, 19-35.
3. Barlow, W. (1994) Robust variance estimation for the case-cohort design. Biometrics, 50, 1064-1072.
4. Bednarski, T. (1993) Robust estimation in Cox's regression model. Scand. J. Statist., 20, 213-225.
5. Borgan, O., Goldstein, L. and Langholz, B. (1995) Methods for the analysis of sampled cohort data in the Cox proportional hazards model. Ann. Statist., 23, 1749-1778.
6. Breslow, N. E. (1996) Statistics in epidemiology: the case-control studies. J. Am. Statist. Ass., 91, 14-28.
7. Chen, K. and Lo, S.-H. (1999) Case-cohort and case-control analysis with Cox's model. Biometrika, 86, 755-764.
8. Cox, D. R. (1972) Regression models and life-tables (with discussion). J. R. Statist. Soc. B, 34, 187-220.
9. _ (1975) Partial likelihood. Biometrika, 62, 269-276.
10. Fleming, T. R. and Harrington, D. P. (1991) Counting Processes and Survival Analysis. New York: Wiley.
11. Goldstein, L. and Langholz, B. (1992) Asymptotic theory for nested case-control sampling in the Cox regression model. Ann. Statist., 20, 1903-1928.
12. Kalbfleisch, J. D. and Lawless, J. F. (1988) Likelihood analysis of multi-state models for disease incidence and mortality. Statist. Med., 7, 147-160.
13. Kress, R. (1989) Linear Integral Equations. New York: Springer.
14. Langholz, B. and Goldstein, L. (1996) Risk set sampling in epidemiologic cohort studies. Statist. Sci., 11, 35-53.
15. Langholz, B. and Thomas, D. C. (1990) Nested case-control and case-cohort methods of sampling from a cohort: a critical comparison. Am. J. Epidem., 31, 169-176.
16. _ (1991) Efficiency of cohort sampling designs: some surprising results. Biometrics, 47, 1563-1571.
17. 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.
18. Oakes, D. (1981) Survival times: aspects of partial likelihood (with discussion). Int. Statist. Rev., 49, 235-264.
19. Prentice, R. L. (1986) A case-cohort design for epidemiologic cohort studies and disease prevention trials. Biometrika, 73, 1-11.
20. Prentice, R. L. and Pyke, R. (1979) Logistic disease incidence models with case-control studies. Biometrika, 66, 403-411.
21. Robins, J. M., Rotnitzky, A. and Zhao, L. P. (1994) Estimation of regression coefficients when some regressors are not always observed. J. Am. Statist. Ass., 89, 846-866.
22. Samuelsen, S. (1997) A pseudo-likelihood approach to analysis of nested case-control data. Biometrika, 84, 379-394.
23. Sasieni, P. (1992) Information bounds for the conditional hazard ratio in a nested family of regression models. J. R. Statist. Soc. B, 54, 617-635.
24. _ (1993) Some new estimators for Cox regression. Ann. Statist., 31, 1721-1759.
25. 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.
26. _ (1997) Fitting regression models to case-control data by maximum likelihood. Biometrika, 84, 57-71.
27. Self, S. G. and Prentice, R. L. (1988) Asymptotic distribution theory and efficiency results for case-cohort studies. Ann. Statist., 16, 64-81.
28. Suissa, S., Edwards, M. and Biovin, J.-F. (1998) External comparisons from nested case-control designs. Epidemiology, 9, 72-78.
29. Thomas, D. C. (1977) Addendum to "Methods of cohort analysis: appraisal by application to asbestos mining" (by F. D. K. Liddell, J. C. McDonald and D. C. Thomas). J. R. Statist. Soc. A, 140, 483-485.