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Bayesian estimation of item response curves

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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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This work was supported under Contract No. N00014-85-K-0113, NR 150-535, from Personnel and Training Research Programs, Psychological Sciences Division, Office of Naval Research. The authors wish to thank Mark D. Reckase for providing the ACT data used in the illustration and Michael J. Soltys for computational assistance. They also wish to thank the editor and four anonymous reviewers for many valuable suggestions.

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Tsutakawa, R.K., Lin, H.Y. Bayesian estimation of item response curves. Psychometrika 51, 251–267 (1986). https://doi.org/10.1007/BF02293983

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  • DOI: https://doi.org/10.1007/BF02293983

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