The UMP exact test and the confidence interval for person parameters in IRT models

DOI10.1007/s11336-017-9580-yzbMath1402.62315OpenAlexW2746650392WikidataQ38610902 ScholiaQ38610902MaRDI QIDQ1643442

Zhuangzhuang Han, Matthew S. Johnson, Xiang Liu

Publication date: 19 June 2018

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11336-017-9580-y

zbMATH Keywords

algorithmconfidence intervalexponential familysufficient statisticexact distributionIRT\(p\) valueUMP

Mathematics Subject Classification ID

Applications of statistics to psychology (62P15)

Related Items (2)

Power divergence family of statistics for person parameters in IRT models ⋮ Second-order probability matching priors for the person parameter in unidimensional IRT models

Uses Software

• eRm
• ltm
• BayesDA
• BRENT

Cites Work

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• Unbiased estimators of ability parameters, of their variance, and of their parallel-forms reliability
• Saddlepoint approximations of the distribution of the person parameter in the two parameter logistic model
• Exact and best confidence intervals for the ability parameter of the Rasch model
• Constructing the exact significance level for a person fit statistic
• Optimal and most exact confidence intervals for person parameters in item response theory models
• An Automatic Method of Solving Discrete Programming Problems
• Saddle point approximation for the distribution of the sum of independent random variables
• Dealing with discreteness: making `exact’ confidence intervals for proportions, differences of proportions, and odds ratios more exact
• An Algorithm for the Traveling Salesman Problem

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