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Closed Form and Dually Consistent Methods for Inference on Strict Collapsibility in 2 Times 2 × K and 2 × J × K Tables

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  • Sander Greenland
  • Ruth M. Mickey

Abstract

We present a general method for constructing tests of strict collapsibility and estimates of non‐collapsibility for a common odds ratio in several 2 times 2 tables. These methods are dually consistent, in that they are valid under both large stratum and sparse data limiting models. They also generalize to 2 x J tables and to person‐time rate ratios. The basic method is illustrated in a study of coffee use and myocardial infarction.

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  • Sander Greenland & Ruth M. Mickey, 1988. "Closed Form and Dually Consistent Methods for Inference on Strict Collapsibility in 2 Times 2 × K and 2 × J × K Tables," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 37(3), pages 335-343, November.
    • Handle: RePEc:bla:jorssc:v:37:y:1988:i:3:p:335-343
    DOI: 10.2307/2347308
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