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A Matrix Lie Group Formulation of Measurement Theory: Symmetries of Classical Measurement Theory
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William R. Nugent – Measurement: Interdisciplinary Research and Perspectives, 2024
Symmetry considerations are important in science, and Group Theory is a theory of symmetry. Classical Measurement Theory is the most used measurement theory in the social and behavioral sciences. In this article, the author uses Matrix Lie (Lee) group theory to formulate a measurement model. Symmetry is defined and illustrated using symmetries of…
Descriptors: Item Response Theory, Measurement Techniques, Models, Simulation