A new specification of generalized linear models for categorical responses

Peyhardi Jean, Trottier Catherine, Guédon Yann. 2015. A new specification of generalized linear models for categorical responses. Biometrika, 102 (4) : 889-906.

Quartile : Q2, Sujet : STATISTICS & PROBABILITY / Quartile : Q3, Sujet : BIOLOGY / Quartile : Q3, Sujet : MATHEMATICAL & COMPUTATIONAL BIOLOGY

Liste HCERES des revues (en SHS) : oui

Thème(s) HCERES des revues (en SHS) : Economie-gestion

Résumé : Many regression models for categorical responses have been introduced, motivated by different paradigms, but it is difficult to compare them because of their different specifications. In this paper we propose a unified specification of regression models for categorical responses, based on a decomposition of the link function into an inverse continuous cumulative distribution function and a ratio of probabilities. This allows us to define a new family of reference models for nominal responses, comparable to the families of adjacent, cumulative and sequential models for ordinal responses. A new equivalence between cumulative and sequential models is shown. Invariances under permutations of the categories are studied for each family of models. We introduce a reversibility property that distinguishes adjacent and cumulative models from sequential models. The new family of reference models is tested on three benchmark classification datasets.

Mots-clés Agrovoc : modèle mathématique, modélisation, modèle linéaire

Classification Agris : U10 - Informatique, mathématiques et statistiques

Champ stratégique Cirad : Hors axes (2014-2018)

Auteurs et affiliations

• Peyhardi Jean, UM2 (FRA)
• Trottier Catherine, UM2 (FRA)
• Guédon Yann, CIRAD-BIOS-UMR AGAP (FRA)

Source : Cirad-Agritrop (https://agritrop.cirad.fr/578633/)

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