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More powerful exact tests of binary matched pairs

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  • Lloyd, Chris J.

Abstract

We consider inference on the difference in probability of success from matched binary pairs. The key contribution is a previously unrecognised restriction on the nuisance parameter for a given value of the interest parameter, under the mild assumption that the process of matching induced a non-negative correlation between the paired binary responses. This necessarily results in smaller P-values and tighter confidence bounds.

Suggested Citation

  • Lloyd, Chris J., 2008. "More powerful exact tests of binary matched pairs," Statistics & Probability Letters, Elsevier, vol. 78(16), pages 2592-2596, November.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:16:p:2592-2596
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    References listed on IDEAS

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    1. Huey-Miin Hsueh & Jen-Pei Liu & James J. Chen, 2001. "Unconditional Exact Tests for Equivalence or Noninferiority for Paired Binary Endpoints," Biometrics, The International Biometric Society, vol. 57(2), pages 478-483, June.
    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.
    3. Chris J. Lloyd & Paul Kabaila, 2003. "On the Optimality and Limitations of Buehler Bounds," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 45(2), pages 167-174, June.
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