A Revision on Multicollinearity and Augmentation Methods

P�rez Gonz�lez, Russell; R�os Lira, Armando Javier; Arias Nava, El�as Heriberto

ISBN 10: 3659507032 ISBN 13: 9783659507038

Editorial: VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2014

Idioma: Ingl�s

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Descripci�n

pp. 76.

N� de ref. del art�culo 26127631401

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T�tulo

A Revision on Multicollinearity and Augmentation Methods

Editor

VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG

Fecha de publicaci�n

2014

Idioma

Ingl�s

ISBN 10

3659507032

ISBN 13

9783659507038

Encuadernaci�n

Encuadernaci�n de tapa blanda

Estado

New

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Sinopsis

This book presents a new augmentation method to eliminate the multicollinearity in datasets that contain several correlated predictor variables. The objective in mind is to reduce the estimation error of the regression coefficients. The main contribution of this work consists in offering a new alternative to eliminate multicollinearity in datasets by using small runs which are added in a sequential manner. The algorithm proposed will indicate the point in which the augmentations have sufficiently contributed to find the true regression model. The procedure is based on addition of new observations to the point in which an appropriate regression model can be constructed. The new information is obtained through designed experiments using the R3 algorithm as a guideline to perform the augmentations and the Ridge Trace and VIF statistic as verification tools that help to determine the point in which the correlations have been significantly reduced. The final result is a linear regression model that accurately represents the process under study.

Acerca del autor

M.I.E. Russell P�rez Gonz�lez received his I.E. from Instituto de Tuxtla Guti�rrez, Chiapas and his Masters from Technological Institute of Celaya, Guanajuato. M.I.E. Russell�s degrees are all in Industrial Engineering. His concentration area includes experimental design, mechanical design and technology management.

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