A general family of limited information goodness-of-fit statistics for multinomial data

DOI10.1007/s11336-010-9165-5zbMath1208.62096OpenAlexW2023717335MaRDI QIDQ603158

Alberto Maydeu-Olivares, Joe, Harry

Publication date: 5 November 2010

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11336-010-9165-5

zbMATH Keywords

item response theoryscore testoverdispersiondiscrete dataPoisson modelssparse contingency tableszero-inflationcategorical data analysisRasch modelscell-focusingoverlapping cellsquadratic form statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Hypothesis testing in multivariate analysis (62H15) Asymptotic properties of parametric tests (62F05) Applications of statistics to psychology (62P15)

Related Items (12)

Limited information estimation in binary factor analysis: a review and extension ⋮ The development of a goodness-of-fit test for high level binary multilevel models ⋮ Pairwise likelihood estimation for factor analysis models with ordinal data ⋮ Book review of: R. D. Bock and R. D. Gibbons, Item response theory ⋮ Hierarchical likelihood approach to non-Gaussian factor analysis ⋮ How should we assess the fit of Rasch-type models? Approximating the power of goodness-of-fit statistics in categorical data analysis ⋮ A composite likelihood inference in latent variable models for ordinal longitudinal responses ⋮ Limited‐information goodness‐of‐fit testing of diagnostic classification item response models ⋮ Model comparison with composite likelihood information criteria ⋮ A journey beyond the Gaussian world. An interview with Harry Joe ⋮ Restricted recalibration of item response theory models ⋮ Models for paired comparison data: a review with emphasis on dependent data

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