Estimating Structural Equation Models Using James–Stein Type Shrinkage Estimators

We propose a two-step procedure to estimate structural equation models (SEMs). In a first step, the latent variable is replaced by its conditional expectation given the observed data. This conditional expectation is estimated using a James–Stein type shrinkage estimator. The second step consists of...

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Veröffentlicht in:Psychometrika 2021-03, Vol.86 (1), p.96-130
Hauptverfasser: Burghgraeve, Elissa, De Neve, Jan, Rosseel, Yves
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De Neve, Jan
Rosseel, Yves
description We propose a two-step procedure to estimate structural equation models (SEMs). In a first step, the latent variable is replaced by its conditional expectation given the observed data. This conditional expectation is estimated using a James–Stein type shrinkage estimator. The second step consists of regressing the dependent variables on this shrinkage estimator. In addition to linear SEMs, we also derive shrinkage estimators to estimate polynomials. We empirically demonstrate the feasibility of the proposed method via simulation and contrast the proposed estimator with ML and MIIV estimators under a limited number of simulation scenarios. We illustrate the method on a case study.
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subjects Assessment
Behavioral Science and Psychology
Humanities
Law
Psychology
Psychometrics
Regression analysis
Simulation
Statistical Theory and Methods
Statistics for Social Sciences
Structural equation modeling
Testing and Evaluation
Theory and Methods
Variables
title Estimating Structural Equation Models Using James–Stein Type Shrinkage Estimators
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