The Distribution of the Chi-Squared Statistic under Clustered Sampling from Contingency Tables
The Distribution of the Chi-Squared Statistic under Clustered Sampling from Contingency Tables
复制标题
列联表聚类抽样下的卡方统计量分布
DOI：
10.1080/01621459.1976.10481543
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发表时间：
1976
影响因子：
3.7
通讯作者：
J. Cohen
中科院分区：
文献类型：
--
作者：
J. Cohen
当列联表中的列项来自于整群抽样时，通常用来检验关于列联表参数的简单假设和复杂假设的卡方统计量可能不具有χ2变量的分布。假设一个正相关聚类模型，本文找到了传统的卡方统计量的分布，并展示了如何将其校正为渐近χ2变量。从精神疾病的流行病学的一个数值例子。
Abstract When the entries in a contingency table arise from clustered sampling, the chi-squared statistic conventionally calculated to testsimple and complex hypotheses about the parameters of the table may not have the distribution of a χ2 variate. Assuming a model for positively associated clustering, this article finds the distribution of the conventional chi-squared statistic and shows how to correct it to an asymptotically χ2 variate. A numerical example from the epidemiology of mental illness is given.