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Estimation of nonlinear latent structural equation models using the extended unconstrained approach

Augustin Kelava orcid id orcid.org/0000-0001-6053-0415 ; Department of Psychology, Technical University Darmstadt
Holger Brandt ; Department of Psychology, Goethe University Frankfurt


Puni tekst: engleski pdf 1.210 Kb

str. 123-132

preuzimanja: 2.020

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Sažetak

In the past two decades, several approaches for the estimation of single interaction effects in latent structural equation models (SEM) have been published (for an overview: Marsh, Wen, & Hau, 2006; Schumacker & Marcoulides, 1998). Recent literature has begun to consider nonlinear models involving simultaneous interaction and quadratic effects (e.g. Klein & Muthén, 2007; Lee, Song, & Poon, 2004; MacCallum & Mar, 1995). Marsh, Wen, and Hau (2004) developed an unconstrained product indicator approach for the estimation of single interaction effects with robust properties when distributional assumptions are violated. In this article, first, we give a brief overview on the approaches for the estimation of nonlinear SEM. Second, we describe the extended unconstrained approach for the simultaneous estimation of latent interaction and quadratic effects (Kelava, 2009; Moosbrugger, Schermelleh-Engel, Kelava, & Klein, 2009). Third, we apply the extended unconstrained approach to data from work and stress research using the freely accessible sem package (Fox, 2006) in R (R Development Core Team, 2008) and compare it with LMS (Klein & Moosbrugger, 2000) which is implemented in the commercial Mplus (Muthén & Muthén, 2007) software.

Ključne riječi

nonlinear structural equation models; estimators; quadratic; interaction; unconstrained approach

Hrčak ID:

70644

URI

https://hrcak.srce.hr/70644

Datum izdavanja:

19.12.2009.

Posjeta: 3.532 *