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.

翻译：心理测量学与量化心理学在很大程度上依赖于统计模型来测量心理过程。作为数学的一个分支，几何学本质上与测量相关联，并聚焦于距离和体积等属性。然而，尽管测量具有共同的根源，几何学目前在心理测量中的应用并不广泛。本文旨在阐明非欧几里得几何学的思想如何与心理测量学相关联。