dc.contributor.author Ríos, Martín dc.contributor.author Cuadras, C.M. (Carlos Maria) dc.date.accessioned 2007-11-29T19:36:57Z dc.date.available 2007-11-29T19:36:57Z dc.date.issued 1986-06 dc.identifier.issn 0210-8054 (versió paper) dc.identifier.uri http://hdl.handle.net/2099/3928 dc.description.abstract Este trabajo aborda el problema de comparar modelos lineales normales desde una perspectiva geométrica. A tal fin, se define una distancia geométrica informativa entre dos modelos lineales normales. La distancia propuesta es estudiada para diferentes condiciones experimentales. Se hallan además extensiones al modelo lineal normal multivariante. Finalmente, se deducen pruebas de significación para las distancias. dc.description.abstract In this paper, starting from the Shannon's entropy functional we have defined and obtained algebraic expressions of distances between univariate and multivariate normal linear models of equal variance. We have explicitly obtained algebraic expressions of the estimators of such distances which have been used to design test of hypothesis between two or more univariate and multivariate normal linear models of equal variance, establishing its relation with the tests of hypothesis used in the Analysis of Variance. Advantages of using distances in hypothesis testing lie in the possibility of making graphical representations of the results, by means of representing the compared linear models on a graph {dendrogram or additive tree) or into an euclidean space of reduced dimension. dc.format.extent p. 83-92 dc.language.iso spa dc.publisher Universitat Politècnica de Barcelona. Centre de Càlcul dc.relation.ispartof Qüestiió. 1986, vol. 10, núm. 2 dc.rights Attribution-NonCommercial-NoDerivs 2.5 Spain dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/2.5/es/ dc.subject.other Inference dc.subject.other Multivariate analysis dc.subject.other Information metric dc.subject.other Geodesic distance dc.subject.other Multivariate analysis of variance dc.subject.other Comparision of regressions dc.title Distancia entre modelos lineales normales dc.title.alternative A distance for normal linear models dc.type Article dc.subject.lemac Inferència dc.subject.lemac Anàlisi multivariable dc.subject.ams Classificació AMS::62 Statistics::62F Parametric inference dc.subject.ams Classificació AMS::62 Statistics::62H Multivariate analysis dc.subject.ams Classificació AMS::62 Statistics::62J Linear inference, regression dc.rights.access Open Access local.ordre 3
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