Confirmatory Measurement Model Comparisons Using Latent Means

Multivariate Behavioral Research
R E Millsap, H Everson

Abstract

Confirmatory factor analysis (CFA) is often used to verify measurement models derived from classical test theory: the parallel, tau-equivalent, and congeneric test models. In this application, CFA is traditionally applied to the observed covariance or correlation matrix, ignoring the observed mean structure. But CFA is easily extended to allow nonzero observed and latent means. The use of CFA with nonzero latent means in testing six measurement models derived from classical test theory is discussed. Three of these models have not been addressed previously in the context of CFA. The implications of the six models for observed mean and covariance structures are fully described. Three examples of the use of CFA in testing these models are presented. Some advantages and limitations in using CFA with nonzero latent means to verify classical measurement models are discussed.

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Citations

Mar 19, 2003·Psychology and Aging·Lars NybergLars-Göran Nilsson
Jul 26, 2011·The Clinical Neuropsychologist·Thomas M AtkinsonLaci M Charette
Jul 1, 1998·Multivariate Behavioral Research·R E Millsap
Oct 14, 2014·International Journal of Environmental Research and Public Health·Michael A LangstonPaul D Juarez
Jul 1, 2001·Multivariate Behavioral Research·P J Ferrando, U Lorenzo-Seva
Apr 29, 2015·Ophthalmic & Physiological Optics : the Journal of the British College of Ophthalmic Opticians (Optometrists)·Tamara BrusseeGer H M B van Rens
Jan 28, 2009·Scandinavian Journal of Psychology·Tom-Erik Dybwad
Jan 1, 1992·Statistical Methods in Medical Research·P M Bentler, J A Stein
Jun 21, 2011·International Archives of Occupational and Environmental Health·Siw Tone InnstrandOlaf Gjerløw Aasland
Jan 1, 2002·Multivariate Behavioral Research·Tenko Raykov
Oct 1, 1994·Multivariate Behavioral Research·R E Millsap, W Meredith
Mar 7, 2019·Frontiers in Psychology·Karl SchweizerStefan J Troche
Jul 1, 2000·Multivariate Behavioral Research·T Raykov
Oct 1, 1994·Multivariate Behavioral Research·J J McArdle
Jul 10, 2021·Structural Equation Modeling : a Multidisciplinary Journal·Yu-Yu HsiaoMark H C Lai

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