Unbiased estimators of ability parameters, of their variance, and of their parallel-forms reliability
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Publication:790573
DOI10.1007/BF02294018zbMath0534.62080MaRDI QIDQ790573
Publication date: 1983
Published in: Psychometrika (Search for Journal in Brave)
item response theoryvariancemaximum likelihoodunbiased estimatorslatent trait theoryability parametersparallel-forms reliabilitytrue score
Related Items (26)
Confidence distribution for the ability parameter of the Rasch model ⋮ An approximation for the bias function of the maximum likelihood estimate of a latent variable for the general case where the item responses are discrete ⋮ Ability estimation for conventional tests ⋮ The UMP exact test and the confidence interval for person parameters in IRT models ⋮ Some critical observations of the test information function as a measure of local accuracy in ability estimation ⋮ Reliability of test scores in nonparametric item response theory ⋮ Departure from normal assumptions: A promise for future psychometrics with substantive mathematical modeling ⋮ Asymptotic cumulants of ability estimators using fallible item parameters ⋮ Standard error of ability estimates and the classification accuracy and consistency of binary decisions ⋮ Saddlepoint approximations of the distribution of the person parameter in the two parameter logistic model ⋮ Reliability coefficients for multiple group item response theory models ⋮ Optimal and most exact confidence intervals for person parameters in item response theory models ⋮ Investigating the impact of uncertainty about item parameters on ability estimation ⋮ Power divergence family of statistics for person parameters in IRT models ⋮ A note on the reliability coefficients for item response model-based ability estimates ⋮ On the relationships between Jeffreys modal and weighted likelihood estimation of ability under logistic IRT models ⋮ Statistical inference based on latent ability estimates ⋮ Exact and best confidence intervals for the ability parameter of the Rasch model ⋮ Constructing the exact significance level for a person fit statistic ⋮ Asymptotic expansions for the ability estimator in item response theory ⋮ Efficient standard error formulas of ability estimators with dichotomous item response models ⋮ Comparison of Maximum Likelihood with Conditional Pairwise Likelihood Estimation of Person Parameters in the Rasch Model ⋮ Bayesian item selection criteria for adaptive testing ⋮ Asymptotic posterior normality of multivariate latent traits in an IRT model ⋮ Comparison of Ability Estimation Methods Using IRT for Tests with Different Degrees of Difficulty ⋮ Statistical bias in maximum likelihood estimators of item parameters
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