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Mathematics R¨¦gression: Th¨¦orie et applications
Posted on 2010-04-12
|
More Pierre-Andr¨¦ Cornillon, Eric Matzner-Lober ¡°R¨¦gression: Th¨¦orie et applications" Cet ouvrage expose de mani¨¨re d¨¦taill¨¦e, exemples ¨¤ l'appui, l¡¯une des m¨¦thodes statistiques les plus courantes : la r¨¦gression. Les premiers chapitres sont consacr¨¦s ¨¤ la r¨¦gression lin¨¦aire simple et multiple. Ils expliquent les fondements de la m¨¦thode, tant au niveau des choix op¨¦r¨¦s que des hypoth¨¨ses et de leur utilit¨¦. Ensuite sont d¨¦velopp¨¦s les outils permettant de v¨¦rifier les hypoth¨¨ses de base mises en ?uvre par la r¨¦gression. Une pr¨¦sentation simple des mod¨¨les d'analyse de la covariance et de la variance est effectu¨¦e. Enfin, les derniers chapitres sont consacr¨¦s au choix de mod¨¨les ainsi qu'¨¤ certaines extensions de la r¨¦gression: lasso, PLS, PCR... La pr¨¦sentation t¨¦moigne d'un r¨¦el souci p¨¦dagogique des auteurs qui b¨¦n¨¦ficient d'une exp¨¦rience d'enseignement aupr¨¨s de publics tr¨¨s vari¨¦s. Les r¨¦sultats expos¨¦s sont replac¨¦s dans la perspective de leur utilit¨¦ pratique grace ¨¤ l'analyse d'exemples concrets. Les commandes permettant le traitement des exemples sous le logiciel R figurent dans le corps du texte. Enfin chaque chapitre est compl¨¦t¨¦ par une suite d'exercices corrig¨¦s. Le niveau math¨¦matique requis le rend accessible aux ¨¦tudiants des ¨¦coles d'ing¨¦nieurs, de Masters et aux chercheurs dans les divers domaines des sciences appliqu¨¦es. "
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