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On closeness of the Mantel–Haenszel estimator and the profile likelihood based estimator of the common odds ratio from multiple 2×2 tables


  • Banerjee, Buddhananda
  • Biswas, Atanu


In this paper, we show the difference in the variance of the Mantel–Haenszel estimator and the profile maximum likelihood estimator of order O((kn)−3) or less, where the individual variances are of order O(n−1). Here n is the minimum number of samples available for any treatment in any group. Numerical results are also reported.

Suggested Citation

  • Banerjee, Buddhananda & Biswas, Atanu, 2012. "On closeness of the Mantel–Haenszel estimator and the profile likelihood based estimator of the common odds ratio from multiple 2×2 tables," Statistics & Probability Letters, Elsevier, vol. 82(11), pages 1990-1993.
  • Handle: RePEc:eee:stapro:v:82:y:2012:i:11:p:1990-1993 DOI: 10.1016/j.spl.2012.06.013

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    References listed on IDEAS

    1. Kabaila, Paul, 2011. "Admissibility of the usual confidence interval for the normal mean," Statistics & Probability Letters, Elsevier, vol. 81(3), pages 352-359, March.
    2. Farchione, David & Kabaila, Paul, 2008. "Confidence intervals for the normal mean utilizing prior information," Statistics & Probability Letters, Elsevier, vol. 78(9), pages 1094-1100, July.
    3. Fan J. & Li R., 2001. "Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1348-1360, December.
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