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Biometrika 2006 93(2):385-397; doi:10.1093/biomet/93.2.385
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© 2006 Biometrika Trust

Fitting binary regression models with case-augmented samples

A. J. Lee, A. J. Scott and C. J. Wild

Department of Statistics, University of Auckland, Private Bag 92019, Auckland, New Zealand. lee{at}stat.auckland.ac.nz, scott{at}stat.auckland.ac.nz, wild{at}stat.auckland.ac.nz

In a case-augmented study, measurements on a random sample from a population are augmented by information from an independent sample of cases, that is units with some characteristic of interest. We show that inferences about the effect of the covariates on the probability of being a case can be made by fitting a modified prospective likelihood. We also show that this procedure is fully efficient.

Key Words: Case-augmented sampling; Estimating equation; Response-selective sampling; Semiparametric efficiency.

Received April 2004. Revised December 2005.


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