Equal Precision Measurement Structural Models. Issue 1 (2nd January 2023)

• Record Type: Journal Article
• Authors: Wood, Phillip K.; Wiedermann, Wolfgang; Steinley, Douglas
• Is Part Of: Structural equation modeling. Volume 30:Issue 1(2023)
• Page Start: 32
• Page End: 39
• Publication Date: 2023-01-02
• Subjects: Attenuation correction -- confirmatory factor analysis -- growth curve models -- psychometrics -- regression -- structural equation modeling; Multivariate analysis -- Periodicals; Social sciences -- Statistical methods -- Periodicals; 519.535
• DOI: 10.1080/10705511.2022.2082971
• Languages: English
• ISSNs: 1070-5511

Abstract

Abstract: Error variance in structural models is often specified as a conditional variance associated with a manifest variable or as a regression path from a standardized error variance. This paper describes scenarios in which specification of both terms is useful: (1) Corrections for attenuation in single indicator factor models; (2) Tests of the equality in the proportion of explained variance across multiple dependent variables in regression models; (3) Factor models with two indicators; and (4) Tests of invariance in the proportion of measurement error variance across occasions in growth curve models. Examples of such models using both simulated and real-world data are presented.