Optimal and most exact confidence intervals for person parameters in item response theory models

DOI10.1007/s11336-012-9290-4zbMath1284.62700OpenAlexW2063669959WikidataQ44428193 ScholiaQ44428193MaRDI QIDQ1940984

Anna Doebler, Philipp Doebler, Heinz Holling

Publication date: 11 March 2013

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11336-012-9290-4

zbMATH Keywords

confidence intervalsitem response theoryoptimalitymonotone likelihood ratioadaptive testing

Mathematics Subject Classification ID

Applications of statistics to psychology (62P15)

Related Items (7)

Confidence distribution for the ability parameter of the Rasch model ⋮ The UMP exact test and the confidence interval for person parameters in IRT models ⋮ Saddlepoint approximations of the distribution of the person parameter in the two parameter logistic model ⋮ 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 ⋮ Second-order probability matching priors for the person parameter in unidimensional IRT models

Uses Software

• ump

Cites Work

• Unbiased estimators of ability parameters, of their variance, and of their parallel-forms reliability
• Exact and best confidence intervals for the ability parameter of the Rasch model
• Maximum likelihood estimates in exponential response models
• Interval estimation for a binomial proportion. (With comments and a rejoinder).
• Fuzzy and randomized confidence intervals and p-values
• Length of Confidence Intervals
• A Comparison of Some Approximate Confidence Intervals for the Binomial Parameter
• Binomial Confidence Intervals

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