Physical interpretation of the Rasch model: analogy to Fermi–Dirac distribution

Abstract We propose a novel interdisciplinary analogy between the Rasch model in educational measurement and the Fermi–Dirac distribution in statistical physics. Both models share the same mathematical form, with the logistic function determining the probability of student correct responses in the Rasch model and the occupation probability of fermions in the Fermi–Dirac distribution. This analogy not only can deepen our understanding of the Rasch model but also serve as a pedagogical tool for enhancing student comprehension of the Fermi–Dirac distribution, addressing common misconceptions and fostering interest in educational research methodologies.