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Structural Equation Models of Latent Interactions: Evaluation of Alternative Estimation Strategies and Indicator Construction.
Authors:Marsh  Herbert W; Wen  Zhonglin; Hau  Kit-Tai
Abstract:Interactions between (multiple indicator) latent variables are rarely used because of implementation complexity and competing strategies. Based on 4 simulation studies, the traditional constrained approach performed more poorly than did 3 new approaches-unconstrained, generalized appended product indicator, and quasi-maximum-likelihood (QML). The authors' new unconstrained approach was easiest to apply. All 4 approaches were relatively unbiased for normally distributed indicators, but the constrained and QML approaches were more biased for nonnormal data; the size and direction of the bias varied with the distribution but not with the sample size. QML had more power, but this advantage was qualified by consistently higher Type I error rates. The authors also compared general strategies for defining product indicators to represent the latent interaction factor. (PsycINFO Database Record (c) 2010 APA, all rights reserved)
Keywords:structural equation models  latent interaction  alternative estimation strategies  indicator construction  quasi-maximum likelihood  Type I error rates  QML
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