Nonparametric item response theory axioms and properties under nonlinearity and their exemplification with knowledge space theory

DOI10.1016/j.jmp.2007.07.002zbMath1207.62223OpenAlexW2060012113MaRDI QIDQ2466902

Ali Ünlü

Publication date: 16 January 2008

Published in: Journal of Mathematical Psychology (Search for Journal in Brave)

Full work available at URL: https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-4562

zbMATH Keywords

stochastic orderingmonotone likelihood ratioinvariant item orderingnonparametric item response theorybasic local independence modelgeneralized monotone-likelihood-ratio-stochastic-orderingnonparametric knowledge spaceparametric knowledge spacequasi-ordered indicator spacequasi-ordered person space

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Inequalities; stochastic orderings (60E15) Foundations and philosophical topics in statistics (62A01) Applications of statistics to psychology (62P15)

Related Items (4)

Detecting and explaining BLIM's unidentifiability: forward and backward parameter transformation groups ⋮ Representing probabilistic models of knowledge space theory by multinomial processing tree models ⋮ Inductive item tree analysis: corrections, improvements, and comparisons ⋮ On a generalization of local independence in item response theory based on knowledge space theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polytomous IRT models and monotone likelihood ratio of the total score
• Naïve heuristics for paired comparisons: some results on their relative accuracy
• A logistic approach to knowledge structures
• Applications of combinatorics and graph theory to the biological and social sciences. Based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on applied combinatorics
• Invariant directional orderings
• A probabilistic model for validation of behavioral hierarchies
• Nonparametric polytomous IRT models for invariant item ordering, with results for parametric models
• Conditional association, essential independence and monotone unidimensional item response models
• Stochastic ordering using the latent trait and the sum score in polytomous IRT models
• Fast, frugal, and fit: simple heuristics for paired comparison
• A new proof for monotone likelihood ratio for the sum of independent Bernoulli random variables
• Stochastic ordering of the latent trait by the sum score under various polytomous IRT models
• Estimation of careless error and lucky guess probabilities for dichotomous test items: a psychometric application of a biometric latent class model with random effects
• On measurement properties of continuation ratio models
• Two-group classification in latent trait theory: Scores with monotone likelihood ratio
• Polya Type Distributions, II
• A Convolutive Class of Monotone Likelihood Ratio Families
• Spaces for the assessment of knowledge
• A survey of theory and methods of invariant item ordering
• Association of Random Variables, with Applications
• A class of stochastic procedures for the assessment of knowledge

This page was built for publication: Nonparametric item response theory axioms and properties under nonlinearity and their exemplification with knowledge space theory