{"id":73946,"date":"2005-12-05T00:00:00","date_gmt":"2005-12-05T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/biplots-robustos\/"},"modified":"2005-12-05T00:00:00","modified_gmt":"2005-12-05T00:00:00","slug":"biplots-robustos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/biplots-robustos\/","title":{"rendered":"Biplots robustos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Sergio Hernandez Gonzalez <\/strong><\/h2>\n<p>Generalmente se presta atenci\u00f3n a los posibles sesgos impl\u00edcitos en una investigaci\u00f3n, ya que es bien sabido que los sesgos comprometen la validez externa de los estudios; sin embargo, a pesar de que los sesgos se mantengan bajo control, y los datos sean de verdad  representativos, los resultados del tratamiento estad\u00edstico pueden estar distorsionados por muchas razones.  esto no sucede en los an\u00e1lisis uni y bivariantes, sino tambi\u00e9n en el an\u00e1lisis multivariante, y especialmente en las t\u00e9cnicas factoriales. Este ha sido el punto de partida de nuestra investigaci\u00f3n, ya que nuestro objetivo est\u00e1 centrado en los an\u00e1lisis biplot propuestos por gabriel en 1971 y la pregunta que motiv\u00f3 esta investigaci\u00f3n es: \u00c2\u00bfc\u00f3mo afecta la presencia de datos discordantes a la estructura factorial asociada a un an\u00e1lisis biplot?  el objetivo principal de los biplot, es proporcionar la reproducci\u00f3n gr\u00e1fica aproximada de los datos, con una calidad en la representaci\u00f3n que permita, gracias a sus propiedades geom\u00e9tricas, captar visualmente las interrelaciones entre conjuntos de individuos y variables, adem\u00e1s de las relaciones entre los elementos de cada uno de esos conjuntos.  su fundamentaci\u00f3n te\u00f3rica se basa en la aproximaci\u00f3n de una cierta matriz de datos de rango  , por una de bajo rango, a trav\u00e9s de la descomposici\u00f3n en valores singulares, para luego hacer una factorizaci\u00f3n en marcadores filas y columnas.  los gr\u00e1ficos biplot est\u00e1n basados en productos escalares y se interpretan en t\u00e9rminos de proyecciones, \u00e1ngulos y distancias al centro de gravedad y\/o entre los marcadores, por tanto es de esperar un efecto distorsionante de la estructura de covariaci\u00f3n, motivado por la presencia de datos discordantes (conocidos en la mayor parte de la literatura como outliers) con el patr\u00f3n general, los cuales pueden deberse a un error de procedimiento, a una observaci\u00f3n que ocurre como consecuencia de un acontecimiento extraordinario, como<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Biplots robustos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Biplots robustos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Sergio Hernandez Gonzalez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Salamanca<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 12\/05\/2005<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Purificacion Galindo Villardon<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Juan  Antonio Castro   posadas <\/li>\n<li> Fuentes blanco Jos\u00e9 Mar\u00eda (vocal)<\/li>\n<li>Mar\u00eda purificaci\u00f3n Vicente galindo (vocal)<\/li>\n<li>isidro Rafael Amaro martin (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Sergio Hernandez Gonzalez Generalmente se presta atenci\u00f3n a los posibles sesgos impl\u00edcitos en una investigaci\u00f3n, ya que [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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