Graded response model based on the logistic positive exponent family of models for dichotomous responses

DOI10.1007/S11336-008-9071-2zbMath1365.62460OpenAlexW2012906522MaRDI QIDQ998829

Fumiko Samejima

Publication date: 30 January 2009

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11336-008-9071-2

zbMATH Keywords

item response theorygraded response modellogistic positive exponent family of models

Mathematics Subject Classification ID

Mathematical psychology (91E99) Applications of statistics to psychology (62P15)

Related Items (2)

Heteroscedastic latent trait models for dichotomous data ⋮ The heteroscedastic graded response model with a skewed latent trait: testing statistical and substantive hypotheses related to skewed item category functions

Cites Work

• Homogeneous case of the continuous response model
• Acceleration model in the heterogeneous case of the general graded response model
• Kernel smoothing approaches to nonparametric item characteristic curve estimation
• Efficient nonparametric approaches for estimating the operating characteristics of discrete item responses
• A comment on Birnbaum's three-parameter logistic model in the latent trait theory
• Logistic positive exponent family of models: virtue of asymmetric item characteristic curves
• An approximation for the bias function of the maximum likelihood estimate of a latent variable for the general case where the item responses are discrete
• Estimating item parameters and latent ability when responses are scored in two or more nominal categories
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