Abstract
Latent trait models for binary responses to a set of test items are considered from the point of view of estimating latent trait parametersθ=(θ 1, …,θ n ) and item parametersβ=(β 1, …,β k ), whereβ j may be vector valued. Withθ considered a random sample from a prior distribution with parameterφ, the estimation of (θ, β) is studied under the theory of the EM algorithm. An example and computational details are presented for the Rasch model.
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This work was supported by Contract No. N00014-81-K-0265, Modification No. P00002, from Personnel and Training Research Programs, Psychological Sciences Division, Office of Naval Research. The authors wish to thank an anonymous reviewer for several valuable suggestions.
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Rigdon, S.E., Tsutakawa, R.K. Parameter estimation in latent trait models. Psychometrika 48, 567–574 (1983). https://doi.org/10.1007/BF02293880
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DOI: https://doi.org/10.1007/BF02293880