Weighted likelihood, pseudo-likelihood and maximum likelihood methods for logistic regression analysis of two-stage data

Statistics in Medicine

Volumn 16, Issue 1-3, 1997, Pages 103-116

  Breslow, Norman E ^a   Holubkov, Richard ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; CONFERENCE PAPER; MAXIMUM LIKELIHOOD METHOD; METHODOLOGY; PROBABILITY; REGRESSION ANALYSIS; SIMULATION; STATISTICAL MODEL;

ADULT; AGE DISTRIBUTION; AGED; CASE-CONTROL STUDIES; DATA COLLECTION; DATA INTERPRETATION, STATISTICAL; FEMALE; HUMANS; INFANT; INFANT MORTALITY; INFANT, NEWBORN; LIKELIHOOD FUNCTIONS; LOGISTIC MODELS; LUNG NEOPLASMS; MALE; MIDDLE AGED; OCCUPATIONAL DISEASES; RISK FACTORS; SAMPLING STUDIES; SEX DISTRIBUTION; SMOKING; SURVIVAL ANALYSIS;

EID: 0031035908     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19970115)16:1<103::AID-SIM474>3.0.CO;2-P     Document Type: Conference Paper

References (28)

1. Walker, A. M. 'Anamorphic analysis: sampling and estimation for covariate effects when both exposure and disease are known', Biometrics, 38, 1025-1032 (1982).
2. White, J. E. 'A two stage design for the study of the relationship between a rare exposure and a rare disease', American Journal of Epidemiology, 115, 119-128 (1982).
3. Breslow, N. E. and Cain, K. C. 'Logistic regression for two-stage case-control data', Biometrika, 75, 11-20 (1988).
4. Rubin, D. 'Inference and missing data', Biometrika, 63, 581-592 (1976).
5. Manski, C. F. and McFadden D. 'Alternative estimators and sample designs for discrete choice analysis', in Manski, C. F. and McFadden, D. (eds), Structural Analysis of Discrete Data with Econometric Applications, MIT Press, Cambridge, MA, 1981, pp. 2-50.
6. Hsieh, D. A., Manski, C. F. and McFadden, D. 'Estimation of response probabilities from augmented retrospective observations', Journal of the American Statistical Association, 80, 651-662 (1985).
7. Besag, J. 'Efficiency of pseudolikelihood estimation for simple Gaussian random fields', Biometrika, 64, 616-618 (1977).
8. Schill, W., Jöckel, K-H., Drescher, K. and Timm, J. 'Logistic analysis in case-control studies under validation sampling', Biometrika, 80, 339-352 (1993).
9. Flanders, W. D. and Greenland, S. 'Analytic methods for two-stage case-control studies and other stratified designs', Statistics in Medicine, 10, 739-747 (1991).
10. Horvitz, D. G. and Thompson, D. J. 'A generalization of sampling without replacement from a finite universe', Journal of the American Statistical Association, 47, 663-685 (1952).
11. Scott, A. J. and Wild, C. J. 'Fitting logistic models in stratified case-control studies', Biometrics, 47, 497-510 (1991).
12. Scott, A. J. and Wild, C. J. 'Maximum likelihood estimation of case-control data, unpublished manuscript, 1993.
13. Wild, C. J. 'Fitting prospective regression models to case-control data', Biometrika, 78, 705-717 (1991).
14. Cosslett, S. R. 'Maximum likelihood estimator for choice-based samples', Econometrica, 49, 1289-1316 (1981).
15. Breslow, N. E. and Holubkov, R. 'Fitting logistic regression models to data from two-stage case-control studies', Technical Report No. 136, Department of Biostatistics, University of Washington, Seattle, 1995.
16. Robins, J. M., Rotnitzky, A. and Zhao, L. P. 'Estimation of regression coefficients when some regressors are not always observed', Journal of the American Statistical Association, 89, 846-866 (1994).
17. Holubkov, R. 'Maximum likelihood estimation in two-stage case-control studies', Ph.D. Dissertation. University of Washington, Seattle, 1995.
18. Clayton, D. G. 'The Leicestershire perinatal mortality study: a case study of multi-group discriminant analysis with complex sampling', Statistics in Medicine, 2, 229-242 (1983).
19. Jöckel, K.-H., Ahrens, W., Wichmann, H.-E., Becher, H., Bolm-Audorff, U., Jahn, I., Molik, B., Greiser, E. and Timm, J. 'Occupational and environmental hazards associated with lung cancer', International Journal of Epidemiolology, 21, 202-213 (1993).
20. Wacholder, S. and Weinberg, C. R. 'Flexible maximum likelihood methods for assessing joint effects in case-control studies with complex sampling', Biometrics, 50, 350-357 (1994).
21. Carroll, R. J., Gail, M. H. and Lubin, J. H. 'Case-control studies with errors in covariates', Journal of the American Statistical Association, 88, 185-199 (1993).
22. Breslow, N. E. and Day, N.E. Statistical Methods in Cancer Research: The Case-Control Study, International Agency for Research on Cancer, Lyon, 1980.
23. Prentice, R. L. and Pyke, R. 'Logistic disease incidence models and case-control studies', Biometrika, 66, 403-411 (1979).
24. McCullagh, P. and Nelder, J. A. Generalized Linear Models, 2nd edn, Chapman and Hall, London, 1989.
25. th Berkeley Symposium in Mathematical Statistics and Probability, University of California Press, Berkeley, 1967, pp. 221-233.
26. Olkin, I. and Tate, R. F. 'Multivariate correlation models with mixed discrete and continuous variables, Annals of Mathematical Statistics, 32, 448-465 (1961).
27. Clarke, M. and Clayton, D. 'The design and interpretation of case-control studies of perinatal mortality', American Journal of Epidemiology, 113, 636-645 (1981).
28. Weinberg, C. R. and Sandler, D. P. 'Randomized recruitment in case-control studies', American Journal of Epidemiology, 134, 421-432 (1991).