Asymptotic expansion of the power function of the two-sample binomial test with and without randomization
type: Item
instance of: scholarly article
title: Asymptotic expansion of the power function of the two-sample binomial test with and without randomization
zbMATH Open document ID: 0602.62019
DOI: 10.1007/BF02613128
author: J. Michalk
author: Leo Knüsel
published in: Metrika
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/176093
review text: The paper deals with the asymptotic expansion of the power function of the two-sample binomial test. This test is a conditional test which is based upon the hypergeometric distribution, and we consider both the version with and without randomization. First, we give the asymptotic expansion of the hypergeometric distribution function and of its quantiles including randomization weights. Then we describe the asymptotic expansions of the power function of the two test versions and discuss the results.
Mathematics Subject Classification ID: 62F05
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 3971970
zbMATH Keywords: expansion of quantiles of a discrete distribution
zbMATH Keywords: lattice character of the test statistic
zbMATH Keywords: asymptotic expansion of the power function
zbMATH Keywords: two- sample binomial test
zbMATH Keywords: hypergeometric distribution
zbMATH Keywords: randomization
zbMATH Keywords: randomization weights
MaRDI profile type: Publication
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OpenAlex ID: W2084952953
description: scientific article; zbMATH DE number 3971970