A note on stochastic ordering of the latent trait using the sum of polytomous item scores

DOI10.1007/s11336-010-9147-7zbMath1234.62161OpenAlexW2000374295MaRDI QIDQ985435

L. Andries van der Ark, Wicher P. Bergsma

Publication date: 6 August 2010

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11336-010-9147-7

zbMATH Keywords

stochastic orderingmonotone likelihood ratiopolytomous itemsnonparametric item response theoryordinal measurementpolytomous item response theorytotal test score

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Nonparametric inference (62G99) Applications of statistics to psychology (62P15)

Related Items (4)

Comparing optimization algorithms for item selection in Mokken scale analysis ⋮ An isotonic partial credit model for ordering subjects on the basis of their sum scores ⋮ A tutorial on how to do a Mokken scale analysis on your test and questionnaire data ⋮ Item screening in graphical loglinear Rasch models

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• A unified nonparametric IRT model for \(d\)-dimensional psychological test data (\(d\)-ISOP)
• Two-group classification in latent trait theory: Scores with monotone likelihood ratio
• A Convolutive Class of Monotone Likelihood Ratio Families

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