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Principal Balances

Principal balances are defined as a sequence of orthonormal balances which maximize successively the explained variance in a data set. Apparently, computing principal balances requires an exhaustive search along all possible sets of orthogonal balances. This is unaffordable for even a small number of parts. Three suboptimal, but feasible, alternatives are explored. The approach is illustrated using a data-set of geochemical composition of glacial sediments

Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada

Other contributions: Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada
Author: Pawlowsky-Glahn, Vera
Egozcue, Juan José
Tolosana Delgado, Raimon
Date: 2011 May 11
Abstract: Principal balances are defined as a sequence of orthonormal balances which maximize successively the explained variance in a data set. Apparently, computing principal balances requires an exhaustive search along all possible sets of orthogonal balances. This is unaffordable for even a small number of parts. Three suboptimal, but feasible, alternatives are explored. The approach is illustrated using a data-set of geochemical composition of glacial sediments
Format: application/pdf
Document access: http://hdl.handle.net/10256/13609
Language: eng
Publisher: Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada
Collection: CoDaWork 2011. The 4th International Workshop on Compositional Data Analysis
Rights: Tots els drets reservats
Subject: Estadística matemàtica -- Congressos
Mathematical statistics -- Congresses
Anàlisi de variància -- Congressos
Analysis of variance -- Congresses
Title: Principal Balances
Type: info:eu-repo/semantics/conferenceObject
Repository: DUGiDocs

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