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Power analysis for cluster randomized trials with binary outcomes modeled by generalized linear mixed-effects models

Author

Listed:
  • T. Chen
  • N. Lu
  • J. Arora
  • I. Katz
  • R. Bossarte
  • H. He
  • Y. Xia
  • H. Zhang
  • X.M. Tu

Abstract

Power analysis for cluster randomized control trials is difficult to perform when a binary response is modeled using the generalized linear mixed-effects model (GLMM). Although methods for clustered binary responses exist such as the generalized estimating equations, they do not apply to the context of GLMM. Also, because popular statistical packages such as R and SAS do not provide correct estimates of parameters for the GLMM for binary responses, Monte Carlo simulation, a popular ad-hoc method for estimating power when the power function is too complex to evaluate analytically or numerically, fails to provide correct power estimates within the current context as well. In this paper, a new approach is developed to estimate power for cluster randomized control trials when a binary response is modeled by the GLMM. The approach is easy to implement and seems to work quite well, as assessed by simulation studies. The approach is illustrated with a real intervention study to reduce suicide reattempt rates among US Veterans.

Suggested Citation

  • T. Chen & N. Lu & J. Arora & I. Katz & R. Bossarte & H. He & Y. Xia & H. Zhang & X.M. Tu, 2016. "Power analysis for cluster randomized trials with binary outcomes modeled by generalized linear mixed-effects models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(6), pages 1104-1118, May.
    • Handle: RePEc:taf:japsta:v:43:y:2016:i:6:p:1104-1118
    DOI: 10.1080/02664763.2015.1092109
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    References listed on IDEAS

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    1. H. Zhang & Y. Xia & R. Chen & D. Gunzler & W. Tang & Xin Tu, 2011. "Modeling longitudinal binomial responses: implications from two dueling paradigms," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(11), pages 2373-2390, December.
    2. Daryl Pregibon, 1980. "Goodness of Link Tests for Generalized Linear Models," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(1), pages 15-24, March.
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