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

Autor:	Thuan Nguyen, Jiming Jiang
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	asymptotic null distribution binomial probability complex hypotheses gauss-seidel logistic regression power sample size tests Probabilities. Mathematical statistics QA273-280
Zdroj:	Statistical Theory and Related Fields, Vol 4, Iss 1, Pp 78-83 (2020)
Druh dokumentu:	article
ISSN:	2475-4269 2475-4277 24754269
DOI:	10.1080/24754269.2019.1586283
Popis:	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} $ 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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4a0bac8958cc463c9f40dd94c813af35 Zobrazit plný text záznamu View record in DOAJ