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Article: The role of perturbation in compositional data analysis

TitleThe role of perturbation in compositional data analysis
Authors
KeywordsCompositional paired comparisons
Group operations in the simplex
Logistic-normal distributions
Subcompositional stability
Issue Date2005
PublisherSage Publications India Pvt Ltd. The Journal's web site is located at http://smj.sagepub.com
Citation
Statistical Modelling, 2005, v. 5 n. 2, p. 173-185 How to Cite?
AbstractIn standard multivariate statistical analysis, common hypotheses of interest concern changes in mean vectors and subvectors. In compositional data analysis it is now well established that compositional change is most readily described in terms of the simplicial operation of perturbation and that subcompositions replace the marginal concept of subvectors. Against the background of two motivating experimental studies in the food industry, involving the compositions of cow's milk and chicken carcasses, this paper emphasizes the importance of recognizing this fundamental operation of change in the associated simplex sample space. Well-defined hypotheses about the nature of any compositional effect can be expressed, for example, in terms of perturbation values and subcompositional stability and testing procedures developed. These procedures are applied to lattices of such hypotheses in the two practical situations. We identify the two problems as being the counterpart of the analysis of paired comparison or split plot experiments and of separate sample comparative experiments in the jargon of standard multivariate analysis. © 2005 Edward Arnold (Publishers) Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/82813
ISSN
2015 Impact Factor: 0.932
2015 SCImago Journal Rankings: 0.782
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorAitchison, Jen_HK
dc.contributor.authorNg, KWen_HK
dc.date.accessioned2010-09-06T08:33:42Z-
dc.date.available2010-09-06T08:33:42Z-
dc.date.issued2005en_HK
dc.identifier.citationStatistical Modelling, 2005, v. 5 n. 2, p. 173-185en_HK
dc.identifier.issn1471-082Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/82813-
dc.description.abstractIn standard multivariate statistical analysis, common hypotheses of interest concern changes in mean vectors and subvectors. In compositional data analysis it is now well established that compositional change is most readily described in terms of the simplicial operation of perturbation and that subcompositions replace the marginal concept of subvectors. Against the background of two motivating experimental studies in the food industry, involving the compositions of cow's milk and chicken carcasses, this paper emphasizes the importance of recognizing this fundamental operation of change in the associated simplex sample space. Well-defined hypotheses about the nature of any compositional effect can be expressed, for example, in terms of perturbation values and subcompositional stability and testing procedures developed. These procedures are applied to lattices of such hypotheses in the two practical situations. We identify the two problems as being the counterpart of the analysis of paired comparison or split plot experiments and of separate sample comparative experiments in the jargon of standard multivariate analysis. © 2005 Edward Arnold (Publishers) Ltd.en_HK
dc.languageengen_HK
dc.publisherSage Publications India Pvt Ltd. The Journal's web site is located at http://smj.sagepub.comen_HK
dc.relation.ispartofStatistical Modellingen_HK
dc.rightsStatistical Modelling. Copyright © Sage Publications India Pvt Ltd.en_HK
dc.subjectCompositional paired comparisonsen_HK
dc.subjectGroup operations in the simplexen_HK
dc.subjectLogistic-normal distributionsen_HK
dc.subjectSubcompositional stabilityen_HK
dc.titleThe role of perturbation in compositional data analysisen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1471-082X&volume=52&issue=2&spage=173&epage=185&date=2005&atitle=The+role+of+perturbation+in+compositional+data+analysisen_HK
dc.identifier.emailNg, KW: kaing@hkucc.hku.hken_HK
dc.identifier.authorityNg, KW=rp00765en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1191/1471082X05st091oaen_HK
dc.identifier.scopuseid_2-s2.0-21044449583en_HK
dc.identifier.hkuros109980en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-21044449583&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume5en_HK
dc.identifier.issue2en_HK
dc.identifier.spage173en_HK
dc.identifier.epage185en_HK
dc.identifier.isiWOS:000229727000005-
dc.publisher.placeIndiaen_HK
dc.identifier.scopusauthoridAitchison, J=7102533841en_HK
dc.identifier.scopusauthoridNg, KW=7403178774en_HK
dc.identifier.citeulike212335-

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