Abstract
In item response theory, dominance relations are modeled by cumulative models, and proximity relations by unfolding models. Usually cumulative models are used for the measurement of latent abilities and unfolding models for the measurement of latent attitudes and preferences. The distinction between both types of measurement models is best represented by the shape of the item characteristic curve which is monotone increasing in the cumulative model and single-peaked in the unfolding model. A boundary case is a situation in which some items are monotone decreasing and others are monotone increasing. In this chapter, an extension of the one-parameter logistic model is proposed for that situation. It is shown that the parameters of the proposed model can be estimated by a simple data transformation. The model is illustrated using an empirical data set.
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Klinkenberg, E.L. (2001). A Logistic IRT Model for Decreasing and Increasing Item Characteristic Curves. In: Boomsma, A., van Duijn, M.A.J., Snijders, T.A.B. (eds) Essays on Item Response Theory. Lecture Notes in Statistics, vol 157. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0169-1_10
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DOI: https://doi.org/10.1007/978-1-4613-0169-1_10
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