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A geometrical perspective on parametric psychometric models

Applications 2024-10-17 v1 Differential Geometry Other Statistics

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.

Cite

@article{arxiv.2410.12450,
  title  = {A geometrical perspective on parametric psychometric models},
  author = {Francis Tuerlinckx},
  journal= {arXiv preprint arXiv:2410.12450},
  year   = {2024}
}
R2 v1 2026-06-28T19:24:02.716Z