Full information maximum likelihood estimation for latent variable interactions with incomplete indicators Journal Article


Authors: Cham, H.; Reshetnyak, E.; Rosenfeld, B.; Breitbart, W.
Article Title: Full information maximum likelihood estimation for latent variable interactions with incomplete indicators
Abstract: Researchers have developed missing data handling techniques for estimating interaction effects in multiple regression. Extending to latent variable interactions, we investigated full information maximum likelihood (FIML) estimation to handle incompletely observed indicators for product indicator (PI) and latent moderated structural equations (LMS) methods. Drawing on the analytic work on missing data handling techniques in multiple regression with interaction effects, we compared the performance of FIML for PI and LMS analytically. We performed a simulation study to compare FIML for PI and LMS. We recommend using FIML for LMS when the indicators are missing completely at random (MCAR) or missing at random (MAR) and when they are normally distributed. FIML for LMS produces unbiased parameter estimates with small variances, correct Type I error rates, and high statistical power of interaction effects. We illustrated the use of these methods by analyzing the interaction effect between advanced cancer patients’ depression and change of inner peace well-being on future hopelessness levels. © 2017 Taylor & Francis Group, LLC.
Keywords: maximum likelihood; missing data; latent interaction; product indicator
Journal Title: Multivariate Behavioral Research
Volume: 52
Issue: 1
ISSN: 0027-3171
Publisher: Taylor & Francis Group  
Date Published: 2017-01-01
Start Page: 12
End Page: 30
Language: English
DOI: 10.1080/00273171.2016.1245600
PROVIDER: scopus
PUBMED: 27834491
PMCID: PMC5489914
DOI/URL:
Notes: Article -- Export Date: 2 March 2017 -- Source: Scopus
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  1. William S Breitbart
    505 Breitbart