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van der Linden, Wim J. – Psychometrika, 1998
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, especially those related to transfer to other distributions. Results are formulated as a series of theorems and corollaries that apply to…
Descriptors: Item Response Theory, Responses, Statistical Distributions, Test Items
Peer reviewed Peer reviewed
Nishisato, Shizuhiko – Psychometrika, 1996
Issues related to dual scaling are explored, and it is illustrated that quantification theory still contains a number of missing links between its mathematics and the validity of applications. Normed versus projected weights, problems of multidimensional unfolding, and option standardization are among the questions requiring study. (SLD)
Descriptors: Equations (Mathematics), Research Methodology, Responses, Scaling