Experimental Design and Power for Moderation in Multisite Cluster Randomized Trials

Experimental Design and Power for Moderation in Multisite Cluster Randomized Trials
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多站点集群随机试验中的实验设计和调节能力

DOI:
10.1080/00220973.2023.2226934
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发表时间:
2023
期刊:
The Journal of Experimental Education
影响因子:
--
通讯作者:
Spybrook, Jessaca
Spybrook, Jessaca
中科院分区:
--
文献类型:
--
作者:
Dong, Nianbo;Kelcey, Benjamin;Spybrook, Jessaca

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多中心集群随机试验(MCRT),其中,中间水平集群(例如,教室)被随机分配到每个地点内的处理或对照条件(例如,学校),是最常用的实验设计在广泛的学科。MCRT通常与在集群级别交付程序的理论相一致(例如,教师专业发展),并提供机会,探讨治疗效果异质性跨网站。在设计实验研究时,一个关键步骤是统计功效分析和样本量确定。然而,在三个级别MCRT的调节剂效应的功效分析的统计工具是不可用的。在这项研究中,我们推导出计算统计功效和最小可检测效应量差异(MDESD)的置信区间的公式,用于调查三水平MCRT中各种主持人的影响。我们考虑了调节因子的水平(水平-1,-2和-3),调节因子的尺度(二元和连续),以及(调节的)治疗效应的随机和非随机变化的斜率。我们通过蒙特卡罗模拟验证了我们的公式。最后,我们总结了未来工作的方向。
Multisite cluster randomized trials (MCRTs), in which, the intermediate-level clusters (e.g., classrooms) are randomly assigned to the treatment or control condition within each site (e.g., school), are among the most commonly used experimental designs across a broad range of disciplines. MCRTs often align with the theory that programs are delivered at a cluster-level (e.g., teacher professional development) and provide opportunities to explore treatment effect heterogeneity across sites. In designing experimental studies, a critical step is the statistical power analysis and sample size determination. However, the statistical tools for power analysis of moderator effects in three-level MCRTs are not available. In this study, we derived formulas for calculating the statistical power and the minimum detectable effect size difference (MDESD) with confidence intervals for investigating the effects of various moderators in three-level MCRTs. We considered the levels of the moderators (level-1, −2, and −3), the scales of the moderators (binary and continuous), and random and nonrandomly varying slopes of the (moderated) treatment effects. We validated our formulas through Monte Carlo simulations. Finally, we conclude with directions for future work.
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