Modeling Measurement Errors of the Exogenous Composites From Congeneric Measures in Interaction Models

We investigated the performance of two single indicator methods: latent moderated structural equation (LMS) and reliability-adjusted product indicator (RAPI) methods, on testing interaction effects with congeneric measures, which vary in factor loadings and error variances under a common factor. Add...

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Bibliographic Details
Published inStructural equation modeling Vol. 28; no. 2; pp. 250 - 260
Main Authors Hsiao, Yu-Yu, Kwok, Oi-Man, Lai, Mark H. C.
Format Journal Article
LanguageEnglish
Published United States Routledge 04.03.2021
Psychology Press
Subjects
composite score
latent interaction
Reliability
Structural equation modeling
composite score
latent interaction
structural equation modeling
reliability
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Summary:We investigated the performance of two single indicator methods: latent moderated structural equation (LMS) and reliability-adjusted product indicator (RAPI) methods, on testing interaction effects with congeneric measures, which vary in factor loadings and error variances under a common factor. Additionally, in the simulation study, we compared the performance of four reliability estimates (Cronbach's alpha, omega composite, Coefficient H, and greatest lower bound [GLB]) to adjust for the exogenous composites' measurement errors. Results from the study showed that: while estimating interaction effects with exogenous composites from congeneric measures, the four reliability estimates performed comparably well. Recommendations on the choice of reliability estimates between the LMS and the RAPI methods under different sample sizes and population reliability conditions are further discussed.
Bibliography:ObjectType-Article-1
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ISSN:1070-5511
1532-8007
DOI:10.1080/10705511.2020.1782206