ERIC Number: ED401283
Record Type: Non-Journal
Publication Date: 1995-Dec
Reference Count: N/A
Stochastic Order in Dichotomous Item Response Models for Fixed Tests, Adaptive Tests, or Multiple Abilities. Research Report 95-02.
van der Linden, Wim J.
Dichotomous item response theory (IRT) models can be viewed as families of stochastically ordered distributions of responses to test items. This paper explores several properties of such distributions. The focus is on the conditions under which stochastic order in families of conditional distributions is transferred to their inverse distributions, from two families of related distributions to a third family, or from multivariate conditional distributions to a marginal distribution. The main results are formulated as two theorems that apply immediately to dichotomous IRT models. One theorem holds for unidimensional models with fixed item parameters. The other theorem holds for models with multiple abilities or with random item parameters as used, for example, in adaptive testing. (Contains 2 tables and 36 references.) (Author/SLD)
Descriptors: Ability, Adaptive Testing, Computer Assisted Testing, Foreign Countries, Item Response Theory, Mathematical Models, Multivariate Analysis, Test Items
Bibliotheek, Faculty of Educational Science and Technology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands.
Publication Type: Reports - Evaluative; Speeches/Meeting Papers
Education Level: N/A
Authoring Institution: Twente Univ., Enschede (Netherlands). Dept. of Education.