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

Thuan Nguyen, Jiming Jiang

Research output: Contribution to journalArticlepeer-review


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 (Formula presented.) 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.

Original languageEnglish (US)
Pages (from-to)78-83
Number of pages6
JournalStatistical Theory and Related Fields
Issue number1
StatePublished - Jan 2 2020


  • Asymptotic null distribution
  • Gauss-Seidel
  • binomial probability
  • complex hypotheses
  • logistic regression
  • power
  • sample size
  • tests

ASJC Scopus subject areas

  • Statistics and Probability
  • Analysis
  • Applied Mathematics
  • Statistics, Probability and Uncertainty
  • Computational Theory and Mathematics


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