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

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

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.

Publication types

  • Research Support, N.I.H., Extramural

MeSH terms

  • Computer Simulation*
  • Humans
  • Linear Models
  • Models, Biological*
  • Monte Carlo Method
  • Neoplasms / therapy*
  • Randomized Controlled Trials as Topic
  • Sample Size