a Oregon Health and Science University, Portland, OR, USA;b University of California, Davis, CA, USA
a Oregon Health and Science University, Portland, OR, USA;b University of California, Davis, CA, USA
jimjiang@ucdavis.edu
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 χ21χ12 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.