Conjunctive item response theory kernels
type: Item
instance of: scholarly article
title: Conjunctive item response theory kernels
zbMATH Open document ID: 0609.62142
DOI: 10.1007/BF02294060
author: Robert J. Jannarone
published in: Psychometrika
publication date: 1986-01-01T00:00:00Z
review text: Conjunctive item reponse models are introduced such that (a) sufficient statistics for latent traits are not necessarily additive in item scores; (b) items are not necessarily locally independent; and (c) existing compensatory (additive) item response models including the binomial, Rasch, logistic, and general locally independent model are special cases. Simple estimates and hypothesis tests for conjunctive models are introduced and evaluated as well. Conjunctive models are also identified with cognitive models that assume the existence of several individually necessary component processes for a global ability. It is concluded that conjunctive models and methods may show promise for constructing improved tests and uncovering conjunctive cognitive structure. It is also concluded that conjunctive item response theory may help to clarify the relationships between local dependence, multidimensionality, and item response function form.
Mathematics Subject Classification ID: 62P15
zbMATH DE Number: 3986495
zbMATH Keywords: configural scoring
zbMATH Keywords: nonadditive items
zbMATH Keywords: Rasch model
zbMATH Keywords: Conjunctive item reponse models
zbMATH Keywords: latent traits
zbMATH Keywords: locally independent
zbMATH Keywords: cognitive models
MaRDI profile type: Publication
cites work: Q3857544
cites work: On the existence and uniqueness of maximum-likelihood estimates in the Rasch model
cites work: Local dependence latent structure models
cites work: When are item response models consistent with observed data?
cites work: Loglinear Rasch model tests
cites work: A General Methodology for the Analysis of Experiments with Repeated Measurement of Categorical Data
cites work: Q5580837
cites work: Q5511769
cites work: Testing the conditional independence and monotonicity assumptions of item response theory
cites work: Expanding the Rasch model to a general model having more than one dimension
cites work: Multicomponent latent trait models for ability tests
cites work: The relationship between Luce's choice axiom, Thurstone's theory of comparative judgment, and the double exponential distribution
full work available at URL: https://doi.org/10.1007/bf02294060
OpenAlex ID: W2015505767
description: scientific article; zbMATH DE number 3986495