Conditional covariance structure of generalized compensatory multidimensional items

DOI10.1007/BF02294532zbMath1291.62253OpenAlexW1973229879MaRDI QIDQ2250667

William Stout, Jinming Zhang

Publication date: 18 July 2014

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02294532

zbMATH Keywords

item response theoryinformationdimensionalitymultidimensionalityconditional covariancetest spaceDETECTDIMTESTgeneralized compensatory modelmultidimensional critical ratio function

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Applications of statistics to psychology (62P15)

Related Items

Analysis of Local Dependence and Multidimensionality in Graphical Loglinear Rasch Models ⋮ A test to distinguish monotone homogeneity from monotone multifactor models ⋮ A Bayesian random effects model for testlets ⋮ The theoretical detect index of dimensionality and its application to approximate simple structure ⋮ On the need for negative local item dependence ⋮ Measuring the ability of transitive reasoning, using product and strategy information ⋮ Unnamed Item ⋮ Testing for local dependency in dichotomous and polytomous item response models ⋮ Conditional covariance theory and detect for polytomous items

Uses Software

• NOHARM
• DIMTEST

Cites Work

• Conditional association and unidimensionality in monotone latent variable models
• Testing the conditional independence and monotonicity assumptions of item response theory
• A new item response theory modeling approach with applications to unidimensionality assessment and ability estimation
• Conditional association, essential independence and monotone unidimensional item response models
• Negative association of random variables, with applications
• The theoretical detect index of dimensionality and its application to approximate simple structure
• A nonparametric approach for assessing latent trait unidimensionality
• DIFFICULTY FACTORS IN BINARY DATA
• Some Concepts of Dependence
• A REDUCTION FORMULA FOR NORMAL MULTIVARIATE INTEGRALS
• Unnamed Item
• Unnamed Item