Relationships and Properties of Polytomous Item Response Theory Models

L. Andries van der Ark

77 citations0/0 files storedApplied Psychological Measurement

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Psychometric Methodologies and Testing Psychological Testing and Assessment Educational Assessment and Pedagogy

Abstract

Relationships among twenty polytomous item response theory (IRT) models (parametric and nonparametric) and eight measurement properties relevant to polytomous IRT are described. Three tables are provided to assist in choice of an appropriate model, and examples demonstrate the use of the models in test construction.

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References

1982A Rasch Model for Partial Credit Scoring 1978A Rating Formulation for Ordered Response Categories 1968ESTIMATION OF LATENT ABILITY USING A RESPONSE PATTERN OF GRADED SCORES1 1969Estimation of Latent Ability Using a Response Pattern of Graded Scores 1992A Generalized Partial Credit Model: Application of an EM Algorithm 1997Handbook of Modern Item Response Theory.1986A Taxonomy of Item Response Models 1990Sequential item response models with an ordered response

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2005Stochastic Ordering Of the Latent Trait by the Sum Score Under Various Polytomous IRT Models 2013Standard Errors and Confidence Intervals for Scalability Coefficients in Mokken Scale Analysis Using Marginal Models 2014An NCME Instructional Module on Polytomous Item Response Theory Models 2014A Class of Multidimensional Latent Class IRT Models for Ordinal Polytomous Item Responses 2013MultiLCIRT: An R package for multidimensional latent class item response models

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