Partitioned conditional generalized linear models for categorical responses

Peyhardi Jean, Trottier Catherine, Guédon Yann. 2016. Partitioned conditional generalized linear models for categorical responses. Statistical Modelling, 16 (4) : 297-321.

Quartile : Q2, Sujet : STATISTICS & PROBABILITY

Résumé : In categorical data analysis, several regression models have been proposed for hierarchically structured responses, such as the nested logit model, the two-step model or the partitioned conditional model for partially ordered set. The specifications of these models are heterogeneous and they have been formally defined for only two or three levels in the hierarchy. Here, we introduce the class of partitioned conditional generalized linear models (PCGLMs) that encompasses all these models and is defined for any number of levels in the hierarchy. The hierarchical structure of these models is fully specified by a partition tree of categories. Using the genericity of the recently introduced specification of generalized linear models (GLMs) for categorical responses, it is possible to use different link functions and explanatory variables for each partitioning step. PCGLMs thus constitute a very flexible framework for modelling hierarchically structured categorical responses including partially ordered responses.

Mots-clés Agrovoc : méthode statistique, modèle linéaire, arbre, classification, analyse de régression

Mots-clés libres : Specification of GLMs, Hasse diagram, Hierarchical structure among categories, Partially ordered variable, Partition tree

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/581506/)

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