Principal balances

Pawlowsky Glahn, Vera; Egozcue Rubí, Juan José; Tolosana Delgado, Raimon

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Pawlowsky Glahn, Vera

Egozcue Rubí, Juan José

Tolosana Delgado, Raimon

Document typeConference report

Defense date2011

PublisherInternational Centre for Numerical Methods in Engineering (CIMNE)

Rights accessOpen Access

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder

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.

CitationPawlowsky, V.; Egozcue, J.J.; Tolosana-Delgado, R. Principal balances. A: International Workshop on Compositional Data Analysis. "Proceedings of the 4th International Workshop on Compositional Data Analysis (2011)". Barcelona: International Centre for Numerical Methods in Engineering (CIMNE), 2011, p. 1-10. ISBN 978-84-87867-76-7.

URIhttp://hdl.handle.net/2117/364253

ISBN978-84-87867-76-7

Publisher versionhttp://congress.cimne.com/codawork11/Admin/Files/FilePaper/p55.pdf

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