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Testing equality of correlation coefficients for paired binary data from multiple groups

机译:测试来自多个组的成对二进制数据的相关系数是否相等

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Paired binary data arise naturally when paired body parts are investigated in clinical trials. One of the widely used models for dealing with this kind of data is the equal correlation coefficients model. Before using this model, it is necessary to test whether the correlation coefficients in each group are actually equal. In this paper, three test statistics (likelihood ratio test, Wald-type test, and Score test) are derived for this purpose. The simulation results show that the Score test statistic maintains type I error rate and has satisfactory power, and therefore is recommended among the three methods. The likelihood ratio test is over conservative in most cases, and the Wald-type statistic is not robust with respect to empirical type I error. Three real examples, including a multi-centre Phase II double-blind placebo randomized controlled trial, are given to illustrate the three proposed test statistics.
机译:在临床试验中研究配对的身体部位时,配对的二进制数据自然会出现。等相关系数模型是处理此类数据的一种广泛使用的模型。在使用该模型之前,有必要测试每组中的相关系数是否实际上相等。为此,本文得出了三个检验统计量(似然比检验,Wald型检验和得分检验)。仿真结果表明,Score检验统计量保持I型错误率并具有令人满意的功效,因此推荐在这三种方法中使用。在大多数情况下,似然比检验过于保守,而Wald型统计量对于经验I型误差而言并不稳健。给出了三个真实的例子,包括一个多中心II期双盲安慰剂随机对照试验,以说明三个拟议的测试统计数据。

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