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The four‐parameter logistic model (4PLM) has recently attracted much interest in various applications. Motivated by recent studies that re‐express the four‐parameter model as a mixture model with two levels of latent variables, this paper develops a new expectation–maximization (EM) algorithm for marginalized maximum a posteriori estimation of the 4PLM parameters. The mixture modelling framework of the 4PLM not only makes the proposed EM algorithm easier to implement in practice, but also...


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