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Flexible Rasch Mixture Models with Package psychomix

Hannah Frick (), Carolin Strobl (), Friedrich Leisch () and Achim Zeileis ()

Working Papers from Faculty of Economics and Statistics, University of Innsbruck

Abstract: Measurement invariance is an important assumption in the Rasch model and mixture models constitute a flexible way of checking for a violation of this assumption by detecting unobserved heterogeneity in item response data. Here, a general class of Rasch mixture models is established and implemented in R, using conditional maximum likelihood estimation of the item parameters (given the raw scores) along with flexible specification of two model building blocks: (1) Mixture weights for the unobserved classes can be treated as model parameters or based on covariates in a concomitant variable model. (2) The distribution of raw score probabilities can be parametrized in two possible ways, either using a saturated model or a specification through mean and variance. The function raschmix() in the R package "psychomix" provides these models, leveraging the general infrastructure for fitting mixture models in the "flexmix" package. Usage of the function and its associated methods is illustrated on artificial data as well as empirical data from a study of verbally aggressive behavior.

Keywords: mixed Rasch model; Rost model; mixture model; flexmix; R (search for similar items in EconPapers)
JEL-codes: C38 C52 C87 (search for similar items in EconPapers)
Pages: 28
Date: 2011-10
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Journal Article: Flexible Rasch Mixture Models with Package psychomix (2012) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:inn:wpaper:2011-21

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