Saddlepoint approximations of the distribution of the person parameter in the two parameter logistic model
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Publication:888022
DOI10.1007/s11336-014-9405-1zbMath1323.62112OpenAlexW1996010853WikidataQ51095813 ScholiaQ51095813MaRDI QIDQ888022
Heinz Holling, Martin Biehler, Philipp Doebler
Publication date: 4 November 2015
Published in: Psychometrika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11336-014-9405-1
confidence intervalssaddlepoint approximationexponential family2PLhigher-order-theoryLugannani-Ricemean-biasmedian unbiased estimatormodified signed likelihood ratio statisticparameter distributionperson parametersmall-samples
Asymptotic distribution theory in statistics (62E20) Applications of statistics to psychology (62P15)
Related Items (7)
A generalized speed-accuracy response model for dichotomous items ⋮ The UMP exact test and the confidence interval for person parameters in IRT models ⋮ Nonparametric estimation of the ability density in the mixed-effect Rasch model ⋮ Power divergence family of statistics for person parameters in IRT models ⋮ Strong Gaussian approximation of the mixture Rasch model ⋮ Higher-order asymptotics and its application to testing the equality of the examinee ability over two sets of items ⋮ Second-order probability matching priors for the person parameter in unidimensional IRT models
Uses Software
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