CHI-SQUARE TESTS FOR COMPARING VECTORS OF PROPORTIONS FOR SEVERAL CLUSTER SAMPLES

CHI-SQUARE TESTS FOR COMPARING VECTORS OF PROPORTIONS FOR SEVERAL CLUSTER SAMPLES
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DOI:
10.1080/03610928608829290
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发表时间:
1986-01-01
影响因子:
0.8
通讯作者:
WILSON, JR
WILSON, JR
中科院分区:
数学4区
文献类型:
--
作者:
KOEHLER, KJ;WILSON, JR

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检验统计量的开发是为了比较从几个独立的两阶段聚类样本获得的比例向量。假设以与每个样本的大小成比例的概率选择簇。 Wald 构造二次形式的一般方法用于获得大样本卡方检验。更容易评估的卡方检验源自狄利克雷多项式模型。相应的狄利克雷多项模型的拟合优度检验也被推导出来。
Test statistics are developed for comparing vectors of proportions obtained from several independent two–stage cluster samples. It is assumed that clusters are selected with probability proportional to size for each sample. Wald's general method of constructing quadratic forms is used to obtain a large sample chi–square test. More easily evaluted chi–square tests are derived from the Dirichlet–multinnomial model. Corresponding goodness–of–fit test for the Dirichlet–multinomial model are also derived.