Main effects and interactions in mixed and incomplete data frames - Centre de mathématiques appliquées (CMAP) Accéder directement au contenu
Article Dans Une Revue Journal of the American Statistical Association Année : 2019

Main effects and interactions in mixed and incomplete data frames

Résumé

A mixed data frame (MDF) is a table collecting categorical, numerical and count observations. The use of MDF is widespread in statistics and the applications are numerous from abundance data in ecology to recommender systems. In many cases, an MDF exhibits simultaneously main effects, such as row, column or group effects and interactions, for which a low-rank model has often been suggested. Although the literature on low-rank approximations is very substantial, with few exceptions, existing methods do not allow to incorporate main effects and interactions while providing statistical guarantees. The present work fills this gap. * This work has been funded by the DataScience Inititiative (Ecole Polytechnique) and the Russian Academic Excellence Project '5-100'
Fichier principal
Vignette du fichier
Robin2018MIMI_arxiv.pdf (566.71 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02423445 , version 1 (24-12-2019)

Identifiants

Citer

Geneviève Robin, Olga Klopp, Julie Josse, Éric Moulines, Robert Tibshirani. Main effects and interactions in mixed and incomplete data frames. Journal of the American Statistical Association, 2019, ⟨10.1080/01621459.2019.1623041⟩. ⟨hal-02423445⟩
65 Consultations
144 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More