English

A new specification of generalized linear models for categorical data

Methodology 2014-05-13 v2

Abstract

Regression models for categorical data are specified in heterogeneous ways. We propose to unify the specification of such models. This allows us to define the family of reference models for nominal data. We introduce the notion of reversible models for ordinal data that distinguishes adjacent and cumulative models from sequential ones. The combination of the proposed specification with the definition of reference and reversible models and various invariance properties leads to a new view of regression models for categorical data.

Keywords

Cite

@article{arxiv.1404.7331,
  title  = {A new specification of generalized linear models for categorical data},
  author = {Jean Peyhardi and Catherine Trottier and Yann Guédon},
  journal= {arXiv preprint arXiv:1404.7331},
  year   = {2014}
}

Comments

31 pages, 13 figures

R2 v1 2026-06-22T04:01:41.472Z