Abstract
(1983) was the first to distinguish and to compare three different types of polytomous item response theory (IRT) models: cumulative, continuation, and partial credit models. In his research, and later in research by others, the three types of models were compared on various criteria. One of the criteria introduced in IRT modeling is the property of reversibility. In this chapter, the results of a number of comparison studies are summarized. Next, the property of reversibility is further investigated. Finally, the relationship between the three types of models and psychological reality is discussed.
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Hemker, B.T. (2001). Reversibility Revisited and Other Comparisons of Three Types of Polytomous IRT Models. 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_15
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DOI: https://doi.org/10.1007/978-1-4613-0169-1_15
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