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Sample size determination for multilevel hierarchical designs using generalized linear mixed models

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  • Anup Amatya
  • Dulal K. Bhaumik

Abstract

A unified statistical methodology of sample size determination is developed for hierarchical designs that are frequently used in many areas, particularly in medical and health research studies. The solid foundation of the proposed methodology opens a new horizon for power analysis in presence of various conditions. Important features such as joint significance testing, unequal allocations of clusters across intervention groups, and differential attrition rates over follow up time points are integrated to address some useful questions that investigators often encounter while conducting such studies. Proposed methodology is shown to perform well in terms of maintaining type I error rates and achieving the target power under various conditions. Proposed method is also shown to be robust with respect to violation of distributional assumptions of random†effects.

Suggested Citation

  • Anup Amatya & Dulal K. Bhaumik, 2018. "Sample size determination for multilevel hierarchical designs using generalized linear mixed models," Biometrics, The International Biometric Society, vol. 74(2), pages 673-684, June.
    • Handle: RePEc:bla:biomet:v:74:y:2018:i:2:p:673-684
    DOI: 10.1111/biom.12764
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    References listed on IDEAS

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    1. Heo, Moonseong & Xue, Xiaonan & Kim, Mimi Y., 2013. "Sample size requirements to detect an intervention by time interaction in longitudinal cluster randomized clinical trials with random slopes," Computational Statistics & Data Analysis, Elsevier, vol. 60(C), pages 169-178.
    2. Anindya Roy & Dulal K. Bhaumik & Subhash Aryal & Robert D. Gibbons, 2007. "Sample Size Determination for Hierarchical Longitudinal Designs with Differential Attrition Rates," Biometrics, The International Biometric Society, vol. 63(3), pages 699-707, September.
    3. Steven Teerenstra & Bing Lu & John S. Preisser & Theo van Achterberg & George F. Borm, 2010. "Sample Size Considerations for GEE Analyses of Three-Level Cluster Randomized Trials," Biometrics, The International Biometric Society, vol. 66(4), pages 1230-1237, December.
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    Cited by:

    1. Kendra Davis‐Plourde & Monica Taljaard & Fan Li, 2023. "Sample size considerations for stepped wedge designs with subclusters," Biometrics, The International Biometric Society, vol. 79(1), pages 98-112, March.

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