Prospective and retrospective analyses under logistic regression models

Biao Zhang

Journal of Multivariate Analysis, 2006, vol. 97, issue 1, 211-230

Abstract: In logistic case-control studies, Prentice and Pyke (Biometrika 66 (1979) 403-411) showed that valid point estimators of the odds-ratio parameters and their standard errors may be obtained by fitting the prospective logistic regression model to case-control data. Wang and Carroll (Biometrika 80 (1993) 237-241; J. Statist. Plann. Inference 43 (1995) 331-340) generalized Prentice and Pyke's (Biometrika 66 (1979) 403-411) results to robust logistic case-control studies. In this paper, we extend the results of Prentice and Pyke (Biometrika 66 (1979) 403-411) and Wang and Carroll (Biometrika 80 (1993) 237-241; J. Statist. Plann. Inference 43 (1995) 331-340) to a class of statistics and a class of unbiased estimating equations. We present some results on simulation and on the analysis of two real datasets.

Keywords: Case-control; data; Chi-squared; Correlation; coefficient; Discriminant; function; statistic; Fisher; information; matrix; Fisher's; z-transformation; Maximum; semiparametric; likelihood; Moment; generating; function; Moore-Penrose; generalized; inverse; Odds; ratio; Score; equation; Score; statistic; Unbiased; estimating; equation; Wald; statistic (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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