Simulation-Extrapolation with Latent Heteroskedastic Error Variance

J. R. Lockwood () and Daniel F. McCaffrey
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J. R. Lockwood: Educational Testing Service
Daniel F. McCaffrey: Educational Testing Service

Psychometrika, 2017, vol. 82, issue 3, No 9, 717-736

Abstract: Abstract This article considers the application of the simulation-extrapolation (SIMEX) method for measurement error correction when the error variance is a function of the latent variable being measured. Heteroskedasticity of this form arises in educational and psychological applications with ability estimates from item response theory models. We conclude that there is no simple solution for applying SIMEX that generally will yield consistent estimators in this setting. However, we demonstrate that several approximate SIMEX methods can provide useful estimators, leading to recommendations for analysts dealing with this form of error in settings where SIMEX may be the most practical option.

Keywords: achievement test scores; measurement error; item response theory; covariate adjustment; nonlinear models (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11336-017-9556-y

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