Logistic regression geometry
Methodology
2013-04-08 v1
Abstract
This paper looks at effects, due to the boundary, on inference in logistic regression. It shows that first -- and, indeed, higher -- order asymptotic results are not uniform across the model. Near the boundary, effects such as high skewness, discreteness and collinearity dominate, any of which could render inference based on asymptotic normality suspect. A highly interpretable diagnostic tool is proposed allowing the analyst to check if the boundary is going to have an appreciable effect on standard inferential techniques.
Keywords
Cite
@article{arxiv.1304.1720,
title = {Logistic regression geometry},
author = {Karim Anaya-Izquierdo and Frank Critchley and Paul Marriott},
journal= {arXiv preprint arXiv:1304.1720},
year = {2013}
}
Comments
9 pages, 5 fugures