A geometrical perspective on parametric psychometric models

Francis Tuerlinckx

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arXiv · 2410.12450

A geometrical perspective on parametric psychometric models

Francis Tuerlinckx

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Abstract

Psychometrics and quantitative psychology rely strongly on statistical models to measure psychological processes. As a branch of mathematics, geometry is inherently connected to measurement and focuses on properties such as distance and volume. However, despite the common root of measurement, geometry is currently not used a lot in psychological measurement. In this paper, my aim is to illustrate how ideas from non-Euclidean geometry may be relevant for psychometrics.

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Francis Tuerlinckx. 2024-10-16. A geometrical perspective on parametric psychometric models. https://arxiv.org/abs/2410.12450

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