The Powers and Strengths of Tests for Multinomials and Contingency Tables
作者:
JamesFlinn Crook,
IrvingJohn Good,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1982)
卷期:
Volume 77,
issue 380
页码: 793-802
ISSN:0162-1459
年代: 1982
DOI:10.1080/01621459.1982.10477890
出版商: Taylor & Francis Group
关键词: Bayes/Neyman-Pearson compromise;Mixtures of Dirichlet distributions;Computer graphics;Hierarchical Bayes
数据来源: Taylor
摘要:
Thestrengthof a significance test is defined as a weighted average of the power especially if the weights are a prior density. The concept is a compromise between Neyman-Pearsonian and Bayesian methods and is applied to tests for multinomial equiprobability and for no association in contingency tables. The differences of the power functions of two criteria,X2andG, are illustrated for the trinomial, whereGarose earlier from a partially Bayesian approach. Other methods for apprehending power functions of several variables are discussed. For 2 × 2 contingency tables with equal row or column totals the power and strength functions of several statistics are equal.
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