Handbook of Modern Item Response Theory by Wim J. van der Linden

By Wim J. van der Linden

Item reaction idea has turn into a vital part within the toolkit of each researcher within the behavioral sciences. It offers a robust potential to review person responses to numerous stimuli, and the technique has been prolonged and constructed to hide many alternative versions of interplay. This quantity provides a wide-ranging instruction manual to merchandise reaction idea - and its purposes to academic and mental checking out. it's going to function either an creation to the topic and likewise as a accomplished reference quantity for practitioners and researchers. it's equipped into six significant sections: the nominal different types version, versions for reaction time or a number of makes an attempt on goods, versions for a number of talents or cognitive elements, nonparametric types, versions for nonmonotone goods, and types with distinctive assumptions. each one bankruptcy within the booklet has been written by means of knowledgeable of that specific subject, and the chapters were conscientiously edited to make sure that a uniform type of notation and presentation is used all through. for this reason, all researchers whose paintings makes use of merchandise reaction idea will locate this an fundamental better half to their paintings and it'll be the subject's reference quantity for a few years to come.

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Handbook of Modern Item Response Theory

Merchandise reaction concept has develop into a vital part within the toolkit of each researcher within the behavioral sciences. It presents a strong ability to check person responses to quite a few stimuli, and the method has been prolonged and constructed to hide many alternative types of interplay. This quantity offers a wide-ranging guide to merchandise reaction conception - and its purposes to academic and mental trying out.

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13) is specialized to z~ = [1, ()] . [ a ')'i1 a (27) ')'i2 the nominal categories model becomes the Partial Credit Model for ordered categories (Masters, (1982); this volume). [Note that positive a in Eq. ] By choice of scale, a may be set equal to 1. In that case, aik = k, k = 0, 1, ... ,mi - 1, is the so-called "scoring" function of the multiple category Rasch model (Andersen, 1973; this volume). For this model, the crossing points of successive category response curves, which occur at () _ ih - in the nominal model, become ()ih Cih - Ci,h-1 ai,h-1 - aih = Cih+1 Cih - = ')'ih· R.

Hambleton Thissen, D. and Steinberg, L. (1984). Taxonomy of item response models. Psychometrika 51, 567-578. L. {1925}. A method of scaling psychological and educational tests. Journal of Educational Psychology 16,433-451. L. (1927a). The unit of measurements in educational scales. Journal of Educational Psychology 18, 505-524. L. (1927b). A law of comparative judgement. Psychological Review 34, 273-286. K. (1984). Estimation of two-parameter logistic item response curves. Journal of Educational Statistics 9, 263-276.

Lazarsfeld's latent class models have had a larger impact on sociology than on education and psychology. However, some of the modern IRT models in this volume have built the presence of latent classes into IRT models for continuous ability variables, for example, to represent differences between examinees in solution strategies used to solve test items (Kelderman, this volume; Rost, this volume). Finally, an important link exists between the normal-ogive model and work on factor analysis of dichotomous variables.

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