A Hyperbolic Cosine IRT Model for Unfolding Direct Responses of Persons to Items

  • David Andrich


The two main mechanisms for characterizing dichotomous responses of persons to items on a single dimension are the cumulative and the unfolding. In the former, the probability of a positive response is a monotonic function of the relevant parameters; in the latter, it is single-peaked. This chapter presents a unidimensional IRT model for unfolding. Figure 1 shows the response functions (RFs) of the probabilities of the responses, including the resolution of the negative response into its two constituent components. Table 1 shows a deterministic unfolding response pattern for five items.


Capital Punishment Item Response Theory Item Response Theory Model Marginal Maximum Likelihood Apply Psychological Measurement 
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© Springer Science+Business Media New York 1997

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  • David Andrich

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