Accuracy in Parameter Estimation for the Root Mean Square Error of Approximation: Sample Size Planning for Narrow Confidence Intervals

Multivariate Behavioral Research
Ken Kelley, Keke Lai

Abstract

The root mean square error of approximation (RMSEA) is one of the most widely reported measures of misfit/fit in applications of structural equation modeling. When the RMSEA is of interest, so too should be the accompanying confidence interval. A narrow confidence interval reveals that the plausible parameter values are confined to a relatively small range at the specified level of confidence. The accuracy in parameter estimation approach to sample size planning is developed for the RMSEA so that the confidence interval for the population RMSEA will have a width whose expectation is sufficiently narrow. Analytic developments are shown to work well with a Monte Carlo simulation study. Freely available computer software is developed so that the methods discussed can be implemented. The methods are demonstrated for a repeated measures design where the way in which social relationships and initial depression influence coping strategies and later depression are examined.

References

Sep 16, 2003·Evaluation & the Health Professions·Ken KelleyJoseph R Rausch
Oct 17, 2007·Annual Review of Psychology·Scott E MaxwellJoseph R Rausch
Jan 11, 2008·Behavior Research Methods·Ken Kelley
Mar 11, 2009·Psychological Methods·Dennis L JacksonRebecca Purc-Stephenson

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Citations

Oct 21, 2011·The British Journal of Mathematical and Statistical Psychology·Leann Terry, Ken Kelley
Mar 3, 2020·Journal of Oral Rehabilitation·Claudia C RestrepoRubén Manrique
Feb 7, 2017·Paediatrics and International Child Health·Inaam N MohamedMustafa A Salih
Jun 4, 2018·PM & R : the Journal of Injury, Function, and Rehabilitation·Arrate Pinto-CarralAntonio José Molina
May 29, 2020·European Archives of Psychiatry and Clinical Neuroscience·M MessiaenG Fond
May 5, 2020·International Journal of Geriatric Psychiatry·Remco TuijtVasiliki Orgeta
Oct 19, 2011·The British Journal of Mathematical and Statistical Psychology·Keke Lai, Ken Kelley
Sep 1, 2020·Radiotherapy and Oncology : Journal of the European Society for Therapeutic Radiology and Oncology·Wen-Chi LiuSzu-Yuan Wu
Aug 6, 2018·The Science of the Total Environment·André Segadas FigueiredoFernando Gomes Souza
Jan 16, 2020·Heliyon·Lantip Diat PrasojoFarida Hanum
Aug 14, 2020·Patient Education and Counseling·Stephen CarterCarl Schneider
Sep 5, 2021·Proceedings of the National Academy of Sciences of the United States of America·Vinzenz FleischerSergiu Groppa

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Software Mentioned

MBESS R
SigmaStar
MBESS
R
MASS
sem
R R Development Core
Mplus
R Development Core Team
sem R

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