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首页> 外文期刊>Communications in Statistics. B, Simulation and Computation >A Small Sample Test for the Equality of Intraclass Correlation Coefficients Under Unequal Family Sizes for Several Populations
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A Small Sample Test for the Equality of Intraclass Correlation Coefficients Under Unequal Family Sizes for Several Populations

机译：家庭人数不相等的情况下类内相关系数相等的小样本检验

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摘要

A small sample test for the equality of several intraclass correlation coefficients under unequal family sizes based on several independent multinormal samples has been proposed. It has been found that the small sample test consistently and reliably produced results superior to those of likelihood ratio test (LRT) proposed by Bhandary and Alam (2000) in terms of power most of the times (for higher intraclass correlation values for various combinations of intraclass correlation coefficient values and also the small sample test stays closer to the significance level under null hypothesis compared to the likelihood ratio test. For small sample situation, LRT has size drastically different from alpha-level whereas, the small sample test gives size closer to the alpha-level. This small sample test is computationally very simple and also can be used for both small sample and large sample situations. An example with real life data is presented.
机译：提出了一个小样本测试，用于基于几个独立的多正态样本，在不相等的家庭规模下，几个类内相关系数的相等性。已经发现，在大多数情况下，小功率样本测试在功率方面始终如一地可靠地产生优于Bhandary和Alam（2000）提出的似然比测试（LRT）的结果（对于更高的组内相关值，对于与似然比检验相比，在零假设下，类内相关系数值以及小样本检验都保持更接近显着性水平；对于小样本情况，LRT的大小与alpha水平有很大差异，而小样本检验的大小接近于α水平。这种小样本测试在计算上非常简单，也可用于小样本和大样本情况，并提供了一个包含实际数据的示例。

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