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Bayesian Estimation of Item Response Curves

83 citations0/0 files storedPsychometrika

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Psychometric Methodologies and Testing Statistical Distribution Estimation and Applications Statistical Methods and Bayesian Inference

Abstract

Item response curves for a set of binary responses are studied from a Bayesian viewpoint of estimating the item parameters. For the two-parameter logistic model with normally distributed ability, restricted bivariate beta priors are used to illustrate the computation of the posterior mode via the EM algorithm. The procedure is illustrated by data from a mathematics test.

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References

2012Applications of Item Response Theory To Practical Testing Problems 1981Marginal Maximum Likelihood Estimation of Item Parameters: Application of an EM Algorithm 1962Applied Statistical Decision Theory 1962Applied Statistical Decision Theory.1989Statistical Decision Theory 1985Bayesian Estimation in the Two-Parameter Logistic Model 1982Bayesian Estimation in the Rasch Model

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