Advanced multilevel modeling for a science of groups: A short primer on multilevel structural equation modeling.
نویسندگان
چکیده
منابع مشابه
Multilevel Structural Equation Modeling
Iterative numerical procedures for the estimation of variance and covariance components for unbalanced designs were developed in the 1980s and were implemented in software packages such as MLWIN, SAS PROC MIXED and HLM. At the same time, interest in latent variables, that is, variables that cannot be directly observed or can only imperfectly be observed, led to the theory providing for the defi...
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In conventional structural equation models, all latent variables and indicators vary between units (typically subjects) and are assumed to be independent across units. The latter assumption is violated in multilevel settings where units are nested in clusters, leading to within-cluster dependence. Different approaches to extending structural equation models for such multilevel settings are exam...
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Multilevel modeling in general concerns models for relationships between variables defined at different levels of a hierarchical data set, which is often viewed as a multistage sample from a hierarchically structured population. Common applications are individuals within groups, repeated measures within individuals, longitudinal modeling, and cluster randomized trials. This chapter treats the m...
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A unifying framework for generalized multilevel structural equation modeling is introduced. The models in the framework, called generalized linear latent and mixed models (GLLAMM), combine features of generalized linear mixed models (GLMM) and structural equation models (SEM) and consist of a response model and a structural model for the latent variables. The response model generalizes GLMMs to...
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Evaluating model fit in nonlinear multilevel structural equation models (MSEM) presents a challenge as no adequate test statistic is available. Nevertheless, using a product indicator approach a likelihood ratio test for linear models is provided which may also be useful for nonlinear MSEM. The main problem with nonlinear models is that product variables are non-normally distributed. Although r...
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ژورنال
عنوان ژورنال: Group Dynamics: Theory, Research, and Practice
سال: 2017
ISSN: 1930-7802,1089-2699
DOI: 10.1037/gdn0000065