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- W2044499983 abstract "The author investigates the analysis of unreplicated factorial experiments from a geometric perspective. He considers more specifically a (k + 1)-run experiment used to estimate k orthogonal contrasts. He observes that once centered and scaled to unit length, the response vector can be viewed as a point on the unit sphere in the vector space spanned by the contrasts. In this context, a model selection procedure is equivalent to a partition of the unit sphere into regions corresponding to the different models considered. The author exploits this approach to gain useful insights into the analysis of such experiments.L'auteur s'interesse a l'analyse de plans factoriels sans replicats d'un point de vue geometrique. H considere plus precisement un plan a k + 1 essais visant a estimer k contrastes orthogonaux. Il fait remarquer qu'une fois centre et norme, le vecteur reponse peut ětre assimile a un point sur la sphere unite dans l'espace vectoriel engendre par les contrastes. Dans ce contexte, une procedure de selection de modele est equivalente a une partition de la sphere unite en regions correspondant aux differents modeles envisages. Ce point de vue permet a l'auteur de fournir de nouveaux eclairages sur l'analyse de tels plans." @default.
- W2044499983 created "2016-06-24" @default.
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- W2044499983 date "2003-09-01" @default.
- W2044499983 modified "2023-10-14" @default.
- W2044499983 title "The analysis of unreplicated factorial experiments from a geometric perspective" @default.
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- W2044499983 doi "https://doi.org/10.2307/3316089" @default.
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