The heteroscedastic graded response model with a skewed latent trait: testing statistical and substantive hypotheses related to skewed item category functions

DOI10.1007/s11336-012-9273-5zbMath1272.62130OpenAlexW2122628046WikidataQ88117122 ScholiaQ88117122MaRDI QIDQ441823

Conor V. Dolan, Dylan Molenaar, Paul De Boeck

Publication date: 8 August 2012

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11336-012-9273-5

zbMATH Keywords

heteroscedasticitynormal distributionnon-normalityskew-normal distributiongraded response model

Mathematics Subject Classification ID

Applications of statistics to psychology (62P15)

Related Items (5)

Heteroscedastic latent trait models for dichotomous data ⋮ A heteroscedastic generalized linear model with a non‐normal speed factor for responses and response times ⋮ Asymptotic robustness study of the polychoric correlation estimation ⋮ Asymmetric item characteristic curves and item complexity: insights from simulation and real data analyses ⋮ Matching IRT models to patient-reported outcomes constructs: the graded response and log-logistic models for scaling depression

Uses Software

• Mplus
• LISREL
• sn

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bayesian inference for a skew-normal IRT model under the centred parameterization
• A note on the asymptotic distribution of the maximum likelihood estimator for the scalar skew-normal distribution
• To explain or to predict?
• Graded response model based on the logistic positive exponent family of models for dichotomous responses
• On the relationship between item response theory and factor analysis of discretized variables
• The effect of link misspecification on binary regression inference
• The nontruncated marginal of a truncated bivariate normal distribution
• Departure from normal assumptions: A promise for future psychometrics with substantive mathematical modeling
• Skewed multivariate models related to hidden truncation and/or selective reporting. With discussion and a rejoinder by the authors.
• Information criteria and statistical modeling.
• Testing the assumptions underlying tetrachoric correlations
• Statistical Applications of the Multivariate Skew Normal Distribution
• The multivariate skew-normal distribution
• Analysing multivariate repeated measures designs when covariance matrices are heterogeneous
• A New Skewed Link Model for Dichotomous Quantal Response Data
• Factor analysis with heteroscedastic errors
• An EM algorithm for the estimation of parametric and nonparametric hierarchical nonlinear models
• The Skew-normal Distribution and Related Multivariate Families*
• A skew item response model

This page was built for publication: The heteroscedastic graded response model with a skewed latent trait: testing statistical and substantive hypotheses related to skewed item category functions