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On the equivalence of prospective and retrospective likelihood methods in case-control studies

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  • Ana-Maria Staicu

Abstract

We present new approaches to analyzing case-control studies using prospective likelihood methods. In the classical framework, we extend the equality of the profile likelihoods to the Barndorff-Nielsen modified profile likelihoods for prospective and retrospective models. This enables simple and accurate approximate conditional inference for stratified case-control studies of moderate stratum size. In the Bayesian framework, we provide sufficient conditions on priors for the prospective model parameters to yield a prospective marginal posterior density equal to its retrospective counterpart. Our results extend the prospective-retrospective equivalence in the Bayesian paradigm with a more general class of priors than has previously been investigated. Copyright 2010, Oxford University Press.

Suggested Citation

  • Ana-Maria Staicu, 2010. "On the equivalence of prospective and retrospective likelihood methods in case-control studies," Biometrika, Biometrika Trust, vol. 97(4), pages 990-996.
  • Handle: RePEc:oup:biomet:v:97:y:2010:i:4:p:990-996
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    File URL: http://hdl.handle.net/10.1093/biomet/asq054
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    Cited by:

    1. Shi Li & Bhramar Mukherjee & Stuart Batterman & Malay Ghosh, 2013. "Bayesian Analysis of Time-Series Data under Case-Crossover Designs: Posterior Equivalence and Inference," Biometrics, The International Biometric Society, vol. 69(4), pages 925-936, December.

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