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Original Articles

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

, , , , , , , & show all
Pages 1104-1118 | Received 24 Feb 2014, Accepted 06 Sep 2015, Published online: 09 Oct 2015

References

  • P.J. Diggle, P.J. Heagerty, K.Y. Liang, and S.L. Zeger, Analysis of Longitudinal Data, 2nd ed., Oxford University Press, New York, 2002.
  • L. Frison and S.J. Pocock, Repeated measures in clinical trials: Analysis using mean summary statistics and its implications for design, Stat. Med. 11(13) (1992), pp. 1685–1704. doi: 10.1002/sim.4780111304
  • H. Goldstein, W. Browne, and J. Rasbash, Partitioning variation in multilevel models, Underst. Stat. 1 (2002), pp. 223–231. doi: 10.1207/S15328031US0104_02
  • N.L. Johnson and S. Kotz, Distribution in Statistics, Continuous Univariate Distributions – 2, Houghton-Mifflin, Boston, 1970.
  • J. Kowalski and X.M. Tu, Modern Applied U-Statistics, Wiley, New York, 2008.
  • K. -L. Liang and S.L. Zeger, Longitudinal data analysis using generalized linear models, Biometrika 73 (1986), pp. 13–22. doi: 10.1093/biomet/73.1.13
  • E.W. Lee and N. Dubin, Estimation and sample size considerations for clustered binary responses, Stat. Med. 13 (1994), pp. 1241–1252. doi: 10.1002/sim.4780131206
  • P. MacCullagh and J.A. Nelder, Generalized Linear Models, 2nd ed., Chapman and Hall, London, 1989.
  • A.K. Manatunga, M.G. Hudgens, and S. Chen, Sample size estimation in cluster randomized studies with varying cluster size, Biom. J. 43 (2001), pp. 75–86. doi: 10.1002/1521-4036(200102)43:1<75::AID-BIMJ75>3.0.CO;2-N
  • K.E. Muller, L.M. Lavange, S.L. Ramey, and C.T. Ramey, Power calculations for general linear multivariate models including repeated measures applications, J. Amer. Statist. Assoc. 87 (1992), pp. 1209–1226. doi: 10.1080/01621459.1992.10476281
  • S. Nakagawa and H. Schielzeth, Repeatability for Gaussian and non-Gaussian data: A practical guide for biologists, Biol. Rev. 85 (2010), pp. 935–956. doi:10.1111/j.1469-185X.2010.00141.x.
  • J.M. Neuhaus, J.D. Kalbfleisch, and W.W. Hauck, A comparison of cluster-specific and population-averaged approaches for analyzing correlated binary data, Int. Stat. Rev. 59 (1991), pp. 25–35. doi: 10.2307/1403572
  • D. Pregibon, Goodness of link tests for generalized linear models, J. Roy. Statist. Soc. Ser. C 29 (1980), pp. 15–24.
  • J. Rochon, Application of GEE procedures for sample size calculations in repeated measures experiments, Stat. Med. 17 (1998), pp. 1643–1658. doi: 10.1002/(SICI)1097-0258(19980730)17:14<1643::AID-SIM869>3.0.CO;2-3
  • J. Spybrook, S.W. Raudenbush, X.F. Liu, R. Congdon, and A. Martinez, Optimal Designs for Longitudinal and Multilevel Research: Documentation for the ‘Optimal Design’ Software, 2008. Available at http://sitemaker.umich.edu/group-based/files/od-manual-20080312-v176.pdf.
  • W. Tang, H. He, and X.M. Tu, Applied Categorical and Count Data Analysis, CRC Press, New York, 2012.
  • X.M. Tu, J. Kowalski, J. Zhang, K.G. Lynch, and P. Crits-Christoph, Power analyses for longitudinal trials and other clustered designs, Stat. Med. 23 (2004), pp. 2799–2815. doi: 10.1002/sim.1869
  • X.M. Tu, J. Zhang, J. Kowalski, J. Shults, J.C. Feng, W. Sun, and W. Tang, Power analyses for longitudinal study designs with missing data, Stat. Med. 26 (2007), pp. 2958–2981. doi: 10.1002/sim.2773
  • H. Zhang, N. Lu, C. Feng, S.W. Thurston, Y. Xia, and X.M. Tu, On fitting generalized linear mixed-effects models for binary responses using different statistical packages, Stat. Med. 30 (2011), pp. 2562–2572. doi: 10.1002/sim.4265
  • H. Zhang, Y. Xia, R. Chen, N. Lu, W. Tang, and X.M. Tu, Modeling longitudinal binomial responses: Implications from two dueling paradigms, Appl. Statist. 38 (2011), pp. 2373–2390. doi: 10.1080/02664763.2010.550038

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