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线性混合模型中肯沃德-罗杰 Wald 检验的一种幂逼近。

A power approximation for the Kenward and Roger Wald test in the linear mixed model.

机构信息

Department of Biostatistics and Informatics, University of Colorado Denver, Aurora, CO, United States of America.

LEAD Center, University of Colorado Denver, Aurora, CO, United States of America.

出版信息

PLoS One. 2021 Jul 21;16(7):e0254811. doi: 10.1371/journal.pone.0254811. eCollection 2021.

DOI:10.1371/journal.pone.0254811
PMID:34288958
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8294572/
Abstract

We derive a noncentral [Formula: see text] power approximation for the Kenward and Roger test. We use a method of moments approach to form an approximate distribution for the Kenward and Roger scaled Wald statistic, under the alternative. The result depends on the approximate moments of the unscaled Wald statistic. Via Monte Carlo simulation, we demonstrate that the new power approximation is accurate for cluster randomized trials and longitudinal study designs. The method retains accuracy for small sample sizes, even in the presence of missing data. We illustrate the method with a power calculation for an unbalanced group-randomized trial in oral cancer prevention.

摘要

我们推导出肯沃德-罗杰检验的非中心[公式:见正文]幂逼近。在备择假设下,我们使用矩量法方法来形成肯沃德-罗杰缩放 Wald 统计量的近似分布。结果取决于未缩放 Wald 统计量的近似矩。通过蒙特卡罗模拟,我们证明了新的功效逼近对于聚类随机试验和纵向研究设计是准确的。该方法即使在存在缺失数据的情况下,对于小样本量也能保持准确性。我们通过口腔癌预防的不平衡分组随机试验的功效计算来说明该方法。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f73f/8294572/7c80c724a745/pone.0254811.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f73f/8294572/ed15b41569cf/pone.0254811.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f73f/8294572/24a3fd48e171/pone.0254811.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f73f/8294572/7c80c724a745/pone.0254811.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f73f/8294572/ed15b41569cf/pone.0254811.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f73f/8294572/24a3fd48e171/pone.0254811.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f73f/8294572/7c80c724a745/pone.0254811.g003.jpg

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本文引用的文献

1
Power and Sample Size for Fixed-Effects Inference in Reversible Linear Mixed Models.可逆线性混合模型中固定效应推断的功效与样本量
Am Stat. 2019;73(4):350-359. doi: 10.1080/00031305.2017.1415972. Epub 2018 Jun 4.
2
Selecting a sample size for studies with repeated measures.选择具有重复测量的研究的样本量。
BMC Med Res Methodol. 2013 Jul 31;13:100. doi: 10.1186/1471-2288-13-100.
3
Analytic, Computational, and Approximate Forms for Ratios of Noncentral and Central Gaussian Quadratic Forms.非中心高斯二次型与中心高斯二次型比值的解析、计算及近似形式
远视眼在调节过程中比近视眼在结构上更具动态性:一项活体研究。
Invest Ophthalmol Vis Sci. 2025 Jun 2;66(6):51. doi: 10.1167/iovs.66.6.51.
4
Analysis of multiple-period group randomized trials: random coefficients model or repeated measures ANOVA?多周期群组随机试验分析:随机系数模型还是重复测量方差分析?
Trials. 2022 Dec 7;23(1):987. doi: 10.1186/s13063-022-06917-2.
J Comput Graph Stat. 2006 Jun 1;15(2):443-459. doi: 10.1198/106186006X112954.
4
Power analyses for longitudinal study designs with missing data.针对存在缺失数据的纵向研究设计的功效分析。
Stat Med. 2007 Jul 10;26(15):2958-81. doi: 10.1002/sim.2773.
5
Power analyses for longitudinal trials and other clustered designs.纵向试验及其他聚类设计的功效分析。
Stat Med. 2004 Sep 30;23(18):2799-815. doi: 10.1002/sim.1869.
6
Small sample inference for fixed effects from restricted maximum likelihood.基于限制最大似然法的固定效应小样本推断
Biometrics. 1997 Sep;53(3):983-97.
7
Intentionally incomplete longitudinal designs: I. Methodology and comparison of some full span designs.故意不完全纵向设计:I. 方法及一些全跨度设计的比较
Stat Med. 1992 Oct-Nov;11(14-15):1889-913. doi: 10.1002/sim.4780111411.