The Powers and Strengths of Tests for Multinomials and Contingency Tables
定义了显著性检验的强度作为功效的加权平均,应用于多项等概率和列联表无关联检验,比较了X²和G两种准则的功效差异。
The strength of 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, X 2 and G, are illustrated for the trinomial, where G arose 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.