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Sample size determination for 2k-r experiments with a binomial response
Authors:Enrique González-Dávila  Josep Ginebra  Roberto Dorta-Guerra
Institution:1. Departamento de Estadística , Universidad de La Laguna , La Laguna, Spain;2. Departament d'Estadística , ETSEIB, Universitat Politècnica de Catalunya , Catalunya, Spain
Abstract:This paper provides closed form expressions for the sample size for two-level factorial experiments when the response is the number of defectives. The sample sizes are obtained by approximating the two-sided test for no effect through tests for the mean of a normal distribution, and borrowing the classical sample size solution for that problem. The proposals are appraised relative to the exact sample sizes computed numerically, without appealing to any approximation to the binomial distribution, and the use of the sample size tables provided is illustrated through an example.
Keywords:factorial experiments  binary data  sample size  deviance
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