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Power analysis, sample size calculation for testing the largest binomial probability

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  • Thuan Nguyen
  • Jiming Jiang

Abstract

A procedure is developed for power analysis and sample size calculation for a class of complex testing problems regarding the largest binomial probability under a combination of treatments. It is shown that the asymptotic null distribution of the likelihood-ratio statistic is not parameter-free, but $\chi _{1}^{2} $χ12 is a conservative asymptotic null distribution. A nonlinear Gauss-Seidel algorithm is proposed to uniquely determine the alternative for the power and sample size calculation given the baseline binomial probability. An example from an animal clinical trial is discussed.

Suggested Citation

  • Thuan Nguyen & Jiming Jiang, 2020. "Power analysis, sample size calculation for testing the largest binomial probability," Statistical Theory and Related Fields, Taylor & Francis Journals, vol. 4(1), pages 78-83, July.
    • Handle: RePEc:taf:tstfxx:v:4:y:2020:i:1:p:78-83
    DOI: 10.1080/24754269.2019.1586283
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