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