A geometrical perspective on parametric psychometric models

Fuente: arXiv
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Main Author: Tuerlinckx, Francis
Format: Preprint
Published: 2024
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author Tuerlinckx, Francis
author_facet Tuerlinckx, Francis
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_12450
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A geometrical perspective on parametric psychometric models
Tuerlinckx, Francis
Applications
Differential Geometry
Other Statistics
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.
title A geometrical perspective on parametric psychometric models
topic Applications
Differential Geometry
Other Statistics
url https://arxiv.org/abs/2410.12450