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

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...

Full description

Bibliographic Details
Main Authors: Sarah M Kreidler, Brandy M Ringham, Keith E Muller, Deborah H Glueck
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2021-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0254811
_version_ 1818718929554505728
author Sarah M Kreidler
Brandy M Ringham
Keith E Muller
Deborah H Glueck
author_facet Sarah M Kreidler
Brandy M Ringham
Keith E Muller
Deborah H Glueck
author_sort Sarah M Kreidler
collection DOAJ
description 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.
first_indexed 2024-12-17T19:58:51Z
format Article
id doaj.art-b1e26b13d0d641eb804b9a3ac3bc691c
institution Directory Open Access Journal
issn 1932-6203
language English
last_indexed 2024-12-17T19:58:51Z
publishDate 2021-01-01
publisher Public Library of Science (PLoS)
record_format Article
series PLoS ONE
spelling doaj.art-b1e26b13d0d641eb804b9a3ac3bc691c2022-12-21T21:34:31ZengPublic Library of Science (PLoS)PLoS ONE1932-62032021-01-01167e025481110.1371/journal.pone.0254811A power approximation for the Kenward and Roger Wald test in the linear mixed model.Sarah M KreidlerBrandy M RinghamKeith E MullerDeborah H GlueckWe 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.https://doi.org/10.1371/journal.pone.0254811
spellingShingle Sarah M Kreidler
Brandy M Ringham
Keith E Muller
Deborah H Glueck
A power approximation for the Kenward and Roger Wald test in the linear mixed model.
PLoS ONE
title A power approximation for the Kenward and Roger Wald test in the linear mixed model.
title_full A power approximation for the Kenward and Roger Wald test in the linear mixed model.
title_fullStr A power approximation for the Kenward and Roger Wald test in the linear mixed model.
title_full_unstemmed A power approximation for the Kenward and Roger Wald test in the linear mixed model.
title_short A power approximation for the Kenward and Roger Wald test in the linear mixed model.
title_sort power approximation for the kenward and roger wald test in the linear mixed model
url https://doi.org/10.1371/journal.pone.0254811
work_keys_str_mv AT sarahmkreidler apowerapproximationforthekenwardandrogerwaldtestinthelinearmixedmodel
AT brandymringham apowerapproximationforthekenwardandrogerwaldtestinthelinearmixedmodel
AT keithemuller apowerapproximationforthekenwardandrogerwaldtestinthelinearmixedmodel
AT deborahhglueck apowerapproximationforthekenwardandrogerwaldtestinthelinearmixedmodel
AT sarahmkreidler powerapproximationforthekenwardandrogerwaldtestinthelinearmixedmodel
AT brandymringham powerapproximationforthekenwardandrogerwaldtestinthelinearmixedmodel
AT keithemuller powerapproximationforthekenwardandrogerwaldtestinthelinearmixedmodel
AT deborahhglueck powerapproximationforthekenwardandrogerwaldtestinthelinearmixedmodel