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2012 Effect of a preliminary test of homogeneity of stratum-specific odds ratios on their confidence intervals
Paul Kabaila, Dilshani Tissera
Electron. J. Statist. 6(none): 672-685 (2012). DOI: 10.1214/12-EJS688

Abstract

Consider a case-control study in which the aim is to assess a factor’s effect on disease occurrence. We suppose that this factor is dichotomous. Also suppose that the data consists of two strata, each stratum summarized by a two-by-two table. A commonly-proposed two-stage analysis of this type of data is the following. We carry out a preliminary test of homogeneity of the stratum-specific odds ratios. If the null hypothesis of homogeneity is accepted then we find a confidence interval for the assumed common value (across strata) of the odds ratio. We examine the statistical properties of this two-stage analysis, based on the Woolf method, on confidence intervals constructed for the stratum-specific odds ratios, for large numbers of cases and controls for each stratum. We provide both a Monte Carlo simulation method and an elegant large-sample method for this examination. These methods are applied to obtain numerical results in the context of the large numbers of cases and controls for each stratum that arose in a real-life dataset. In this context, we find that the preliminary test of homogeneity of the stratum-specific odds ratios has a very harmful effect on the coverage probabilities of these confidence intervals.

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Paul Kabaila. Dilshani Tissera. "Effect of a preliminary test of homogeneity of stratum-specific odds ratios on their confidence intervals." Electron. J. Statist. 6 672 - 685, 2012. https://doi.org/10.1214/12-EJS688

Information

Published: 2012
First available in Project Euclid: 27 April 2012

zbMATH: 1274.62215
MathSciNet: MR2988424
Digital Object Identifier: 10.1214/12-EJS688

Subjects:
Primary: 62F25
Secondary: 62P10

Rights: Copyright © 2012 The Institute of Mathematical Statistics and the Bernoulli Society

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