A Pearson-Type-VII item response model for assessing person fluctuation |
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Authors: | Pere J. Ferrando |
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Affiliation: | (1) ‘rovira i virgili’ university, Spain;(2) Universidad ‘Rovira i Virgili,’ Facultad de Psicologia, Carretera Valls s/n, 43007 Tarragona, Spain |
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Abstract: | Using Lumsden’s Thurstonian fluctuation model as a starting point, this paper attempts to develop a unidimensional item response theory model intended for binary personality items. Under some additional assumptions, a new model is obtained in which the item characteristic curves are defined by a cumulative Pearson-Type-VII distribution, and the person response curves are two-parameter normal ogives. Procedures for fitting the new model are proposed. Furthermore, the relations between individual fluctuation and scalability are discussed, and a scalability index based on the new model is proposed. All the developments in this paper are illustrated using two empirical examples. |
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Keywords: | Personality measurement item response theory person response curve expected a posteriori estimation person reliability scalability |
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