Nonparametric IRT: testing the bi-isotonicity of isotonic probabilistic models (ISOP)

DOI10.1007/BF02296654zbMath1306.62496MaRDI QIDQ2259551

Hartmann Scheiblechner

Publication date: 4 March 2015

Published in: Psychometrika (Search for Journal in Brave)

zbMATH Keywords

multidimensional coordinatewise partial orderindex of association and of isotonicityinstrumental pair comparison systemssample-free estimatesweak item independenceweak subject independence

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Applications of statistics to psychology (62P15)

Related Items (5)

Evaluating manifest monotonicity using Bayes factors ⋮ Additive conjoint isotonic probabilistic models (ADISOP) ⋮ Polytomous latent scales for the investigation of the ordering of items ⋮ Invariant ordering of item-total regressions ⋮ A unified nonparametric IRT model for \(d\)-dimensional psychological test data (\(d\)-ISOP)

Uses Software

• LpcM-Win

Cites Work

• Unnamed Item
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• Isotonic ordinal probabilistic models (ISOP)
• Polytomous IRT models and monotone likelihood ratio of the total score
• Stochastic orders
• A rating formulation for ordered response categories
• A new item response theory modeling approach with applications to unidimensionality assessment and ability estimation
• Nonparametric polytomous IRT models for invariant item ordering, with results for parametric models
• Conditional association, essential independence and monotone unidimensional item response models
• A characterization of monotone unidimensional latent variable models
• Stochastic ordering using the latent trait and the sum score in polytomous IRT models
• Some remarks on Scheiblechner's treatment of ISOP models
• Corrections of theorems in Scheiblechner's treatment of ISOP models and comments on Junker's remarks
• An extension of the concept of specific objectivity
• Additive conjoint isotonic probabilistic models (ADISOP)
• Measures of Association for Cross Classifications. II: Further Discussion and References
• Remarks on multivariate analogues of kendall's tau
• A survey of theory and methods of invariant item ordering
• Measures of Association for Cross Classifications, IV: Simplification of Asymptotic Variances
• Measures of Association for Cross Classifications

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