Developing a Concept Map for Rasch Measurement Theory

Abstract

The purpose of this paper is to identify and describe the key concepts of Rasch measurement theory (Rasch G, Probabilistic models for some intelligence and attainment tests. Danish Institute for Educational Research, Copenhagen. (Expanded edition, Chicago: University of Chicago Press, 1980), 1960/1980). There have been several taxonomies describing item response theory (Kim S-H et al., A taxonomy of item response models in Psychometrika. In: Wiberg M, Culpepper S, Janssen R, Gonzales J, Molenaar D (eds) Quantitative psychology: 83rd annual meeting of the Psychometric Society. Springer, New York City, pp 13–23, 2019; Thissen D, Steinberg L, Psychometrika 51:567–577, 1986; Wright BD, Masters GN, Rating scale analysis: Rasch measurement. MESA Press, Chicago, 1982), and this paper extends these ideas with a specific focus on Rasch measurement theory. Rasch’s measurement work reflects a key milestone in a paradigmatic shift from classical test theory to item response theory (van der Linden WJ, Handbook of item response theory, volume 1: models. CRC Press, Boca Raton, 2016). We include a categorization of measurement models that are commonly viewed as Rasch models (dichotomous, rating scale, partial credit, and many-faceted), as well as extensions of these models (mixed, multilevel, multidimensional, and explanatory models). Georg Rasch proposed a set of principles related to objectivity and invariance that reflect foundational concepts underlying science. Rasch measurement theory is the application of these foundational concepts to measurement. Concept maps provide useful didactic tools for understanding progress in measurement theory in the human sciences, and also for appreciating Rasch’s contributions to current theory and practice in psychometrics.