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Effect Comparison in Multilevel Structural Equation Models with Non-Metric Outcomes
[collection article]
Corporate Editor
American Statistical Association
Abstract
This study discusses difficulties of effect comparisons in multilevel structural equation models with non-metric outcomes, such as nonlinear dyadic mixed-effects regression. In these models, the fixation of the level-1 error variances induces substantial drawbacks in the context of effect comparison... view more
This study discusses difficulties of effect comparisons in multilevel structural equation models with non-metric outcomes, such as nonlinear dyadic mixed-effects regression. In these models, the fixation of the level-1 error variances induces substantial drawbacks in the context of effect comparisons which align with the well-known problems of standard single- and multilevel nonlinear models. Specifically, the level-1 and level-2 coefficients as well as the level-2 variance components are implicitly rescaled by the amount of unobserved level-1 residual variation and thus may apparently differ across (and within) equations despite of true effect equality. Against this background, the present study discusses a multilevel extension of the method proposed by Sobel and Arminger (1992) with which potential differences in level-1 residual variation can be taken into account through the specification of non-linear parameter constraints. The problems of effect comparisons in multilevel probit SEM's and the proposed correction method are exemplified with a simulation study.... view less
Keywords
statistical analysis; simulation; statistical method; empirical social research; multi-level analysis; model comparison; multivariate analysis
Classification
Methods and Techniques of Data Collection and Data Analysis, Statistical Methods, Computer Methods
Free Keywords
multilevel probit SEM; effect comparison; non-linear constraints; structural equation model
Collection Title
JSM 2016 Proceedings, Social Statistics Section
Document language
English
Publication Year
2016
City
Alexandria, VA
Page/Pages
p. 3892-3901
Status
Published Version; reviewed
Licence
Deposit Licence - No Redistribution, No Modifications