The Geometry of Chi-Square Degrees of Freedom
Other Statistics
2023-05-18 v1 Probability
Statistics Theory
Statistics Theory
Abstract
In this paper, we state and prove a simple geometric interpretation of the degrees of freedom of a chi-square distribution. The general geometric idea goes back at least to Fisher in the 1920s, but the exact result does not appear to have been explicitly stated or proved prior to this paper.
Cite
@article{arxiv.2305.10335,
title = {The Geometry of Chi-Square Degrees of Freedom},
author = {James Bernhard},
journal= {arXiv preprint arXiv:2305.10335},
year = {2023}
}
Comments
7 pages