A Note on the Equivalence of Two Test Criteria for Hypotheses in Categorical Data
A Note on the Equivalence of Two Test Criteria for Hypotheses in Categorical Data
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关于分类数据中假设的两个检验标准的等价性的说明
DOI：
10.1080/01621459.1966.10502021
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发表时间：
1966
影响因子：
3.7
通讯作者：
V. P. Bhapkar
中科院分区：
文献类型：
--
作者：
V. P. Bhapkar
本文指出，对于分类数据的线性假设检验，Wald统计量[1943]是等价的（即，代数上相同）的χ2 1统计量的Neyman [1949]，和检验非线性假设，它是等效的χ2 1统计量使用Neyman的线性化技术，只要这些χ2 1统计量被定义。
Abstract It is shown in this note that for testing linear hypotheses in categorical data Wald's statistic [1943] is equivalent (i.e., algebraically-identical) to the χ2 1 statistic of Neyman [1949], and for testing nonlinear hypotheses it is equivalent to the χ2 1 statistic using Neyman's linearization technique, whenever these χ2 1 statistics are defined.