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Using Bayesian p‐values in a 2 × 2 table of matched pairs with incompletely classified data

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  • Yan Lin
  • Stuart Lipsitz
  • Debajyoti Sinha
  • Atul A. Gawande
  • Scott E. Regenbogen
  • Caprice C. Greenberg

Abstract

Summary. Altham proposed Bayesian p‐values for the analysis of a 2×2 contingency table that is formed from matched pairs. Using the same Bayesian perspective, we develop an extension of Altham's Bayesian p‐values to a 2×2 table from matched pairs with missing data that are missing at random. The approach is applied to a rater agreement study, in which two surgeon–reviewers rated whether or not there was a communication breakdown in malpractice cases. We also use a simulation study to explore the power and type I error rate of the Bayesian p‐values.

Suggested Citation

  • Yan Lin & Stuart Lipsitz & Debajyoti Sinha & Atul A. Gawande & Scott E. Regenbogen & Caprice C. Greenberg, 2009. "Using Bayesian p‐values in a 2 × 2 table of matched pairs with incompletely classified data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 58(2), pages 237-246, May.
    • Handle: RePEc:bla:jorssc:v:58:y:2009:i:2:p:237-246
    DOI: 10.1111/j.1467-9876.2008.00645.x
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    References listed on IDEAS

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    1. D. Gokhale & B. Sirtonik, 1984. "On tests for correlated proportions in the presence of incomplete data," Psychometrika, Springer;The Psychometric Society, vol. 49(1), pages 147-152, March.
    2. Quinn McNemar, 1947. "Note on the sampling error of the difference between correlated proportions or percentages," Psychometrika, Springer;The Psychometric Society, vol. 12(2), pages 153-157, June.
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    Cited by:

    1. Colette Mair & Sema Nickbakhsh & Richard Reeve & Jim McMenamin & Arlene Reynolds & Rory N Gunson & Pablo R Murcia & Louise Matthews, 2019. "Estimation of temporal covariances in pathogen dynamics using Bayesian multivariate autoregressive models," PLOS Computational Biology, Public Library of Science, vol. 15(12), pages 1-21, December.
    2. Li, Huiqiong & Tian, Guoliang & Tang, Niansheng & Cao, Hongyuan, 2018. "Assessing non-inferiority for incomplete paired-data under non-ignorable missing mechanism," Computational Statistics & Data Analysis, Elsevier, vol. 127(C), pages 69-81.
    3. Konietschke, F. & Harrar, S.W. & Lange, K. & Brunner, E., 2012. "Ranking procedures for matched pairs with missing data — Asymptotic theory and a small sample approximation," Computational Statistics & Data Analysis, Elsevier, vol. 56(5), pages 1090-1102.
    4. P. M. E. Altham & Robin K. S. Hankin, 2010. "Using recently developed software on a 2×2 table of matched pairs with incompletely classified data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(2), pages 377-379, March.

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