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关于广义线性混合模型中随机效应设定错误下的II类错误的注释

A note on type II error under random effects misspecification in generalized linear mixed models.

作者信息

Neuhaus John M, McCulloch Charles E, Boylan Ross

机构信息

Department of Epidemiology and Biostatistics, University of California, San Francisco, California 94143-0560, USA.

出版信息

Biometrics. 2011 Jun;67(2):654-6; disucssion 656-60. doi: 10.1111/j.1541-0420.2010.01474.x.

DOI:10.1111/j.1541-0420.2010.01474.x
PMID:21689077
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3079788/
Abstract

Litière, Alonso, and Molenberghs (2007, Biometrics, 63, 1038-1044) presented the results of simulation studies that they claimed showed that misspecification of the shape of the random effects distribution can produce marked increases in Type II error (decreases in power) of tests based on fits of generalized linear mixed models. However, the article contains a logical fallacy that invalidates this claim. We present logically correct simulation studies that demonstrate little increase in Type II error, consistent with the earlier work that shows little effect due to misspecification.

摘要

利蒂埃、阿隆索和莫伦贝格斯(2007年,《生物统计学》,第63卷,第1038 - 1044页)展示了模拟研究的结果,他们声称这些结果表明,随机效应分布形状的错误设定会使基于广义线性混合模型拟合的检验的II类错误显著增加(功效降低)。然而,该文章存在一个逻辑谬误,使这一说法无效。我们进行了逻辑正确的模拟研究,结果表明II类错误几乎没有增加,这与早期显示错误设定影响不大的研究结果一致。

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本文引用的文献

1
Type I and Type II error under random-effects misspecification in generalized linear mixed models.广义线性混合模型中随机效应设定错误下的I型和II型错误
Biometrics. 2007 Dec;63(4):1038-44. doi: 10.1111/j.1541-0420.2007.00782.x. Epub 2007 Apr 9.
2
Random effects models with non-parametric priors.具有非参数先验的随机效应模型。
Stat Med. 1992 Oct-Nov;11(14-15):1981-2000. doi: 10.1002/sim.4780111416.