A person-fit index for polytomous Rasch models, latent class models, and their mixture generalizations

DOI10.1007/BF02294798zbMath1306.62532OpenAlexW1985115987MaRDI QIDQ2259868

Matthias von Davier, Ivo W. Molenaar

Publication date: 5 March 2015

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02294798

zbMATH Keywords

latent class analysispolytomous Rasch modelappropriateness measurementmixed Rasch modelperson-fit

Mathematics Subject Classification ID

Applications of statistics to psychology (62P15)

Related Items (4)

A person fit test for IRT models for polytomous items ⋮ Asymptotically corrected person fit statistics for multidimensional constructs with simple structure and mixed item types ⋮ Adjusting person fit index for skewness in cognitive diagnosis modeling ⋮ Higher-order asymptotics and its application to testing the equality of the examinee ability over two sets of items

Cites Work

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• Geometrical fuzzy clustering algorithms
• An entropy criterion for assessing the number of clusters in a mixture model
• A Rasch model for partial credit scoring
• Constructing the exact significance level for a person fit statistic
• Approximating the conditional distribution of person fit indexes for checking the Rasch model

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