Robust nonlinear structural equation modeling with interaction between exogenous and endogenous latent variables

A handful of studies have been devoted to nonlinear structural equation modeling (SEM) in the literature. However, they generally overlooked the interactions among exogenous and endogenous latent variables and the interactions among endogenous latent variables. In this study, we propose a maximum likelihood approach for a nonlinear SEM model that incorporates such overlooked interactions. We also propose a two-stage pseudo maximum likelihood approach under the assumption of a normal mixture, being computationally efficient and robust against distributional misspecification. The simulation study shows that both approaches accurately estimate the unknown parameters if the distribution is correctly specified. However, only the pseudo maximum likelihood approach is robust against distributional misspecification.

NATURVETENSKAP Matematik Sannolikhetsteori och statistik hsv//swe
NATURAL SCIENCES Mathematics Probability Theory and Statistics hsv//eng
Normal mixture; factor mixture analysis; GaussHermite quadrature; pseudo-maximum likelihood
Statistics
Statistik

Noh, MaengseokPukyong National University (author)
Yang-Wallentin, Fan,Professor,1962-Uppsala universitet,Statistiska institutionen(Swepub:uu)fanyang (author)
Lee, YoungjoSeoul National University (author)
Uppsala universitetStatistiska institutionen (creator_code:org_t)

In:Structural Equation Modeling: Taylor & Francis Group28:4, s. 547-5561070-55111532-8007

By the author/editor: Jin, Shaobo, 198 ...; Noh, Maengseok; Yang-Wallentin, ...; Lee, Youngjo

About the subject

NATURAL SCIENCES: NATURAL SCIENCES; and Mathematics; and Probability Theo ...

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