Academic Journal
Measuring Subcompositional Incoherence
| Title: | Measuring Subcompositional Incoherence |
|---|---|
| Authors: | Michael Greenacre |
| Contributors: | Universitat de Girona. Departament d'Informàtica i Matemàtica Aplicada, Universitat Pompeu Fabra. Departament d'Economia i Empresa |
| Source: | CoDaWork 2011. The 4th International Workshop on Compositional Data Analysis DUGiDocs – Universitat de Girona instname Recercat. Dipósit de la Recerca de Catalunya UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) Repositorio Digital de la UPF Universitat Pompeu Fabra |
| Publication Status: | Preprint |
| Publisher Information: | Springer Science and Business Media LLC, 2008. |
| Publication Year: | 2008 |
| Subject Terms: | log-ratio distance, multidimensional scaling, correspondence analysis, compositional data, chi-square distance, log-ratio distance, multidimensional scaling, stress, subcompositional coherence, Estadística matemàtica -- Congressos, subcompositional coherence, jel:C88, 01 natural sciences, compositional data, Multivariate analysis -- Congresses, correspondence analysis, Quantitative research, stress, jel:C19, Statistics, Econometrics and Quantitative Methods, Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica, Investigació quantitativa, Matemàtiques i estadística::Estadística matemàtica [Àrees temàtiques de la UPC], Data analytics, chi-square distance, Anàlisi multivariable -- Congressos, 0101 mathematics, Mathematical statistics -- Congresses |
| Description: | Subcompositional coherence is a fundamental property of Aitchison’s approach to compositional data analysis, and is the principal justification for using ratios of components. For dimension reduction of a matrix of compositional data, either an unweighted (Aitchison & Greenacre 2002) or weighted (Greenacre & Lewi 2009; Greenacre 2010a: chapter 7) form of log-ratio analysis can be used, and these are both subcompositionally coherent. Many alternative methods that might be applied to compositional data are subcompositionally incoherent, but some can be judged to be less incoherent than others. In other words, either for a particular data set, or in general, a method might actually be quite subcompositionally “robust” in that its results for a subcomposition are quite close to its results for the same components as part of a full composition. So we propose that lack of subcompositional coherence, that is subcompositional incoherence, can be measured in an attempt to evaluate whether any given technique is close enough, for all practical purposes, to being subcompositionally coherent. This opens up the field to alternative methods, which might be better suited to cope with problems such as data zeros and outliers, while being only slightly incoherent |
| Document Type: | Article Conference object Research Other literature type |
| File Description: | application/pdf |
| Language: | English |
| ISSN: | 1874-8953 1874-8961 |
| DOI: | 10.1007/s11004-011-9338-5 |
| DOI: | 10.2139/ssrn.1285466 |
| Access URL: | http://repositori.upf.edu/bitstream/10230/1180/1/1106.pdf http://hdl.handle.net/10256/13643 http://hdl.handle.net/2117/366734 http://hdl.handle.net/10230/1180 https://hdl.handle.net/2117/366734 https://econ-papers.upf.edu/ca/paper.php?id=1106 http://hdl.handle.net/10230/1180 https://papers.ssrn.com/sol3/papers.cfm?abstract_id=1285466 https://papers.ssrn.com/sol3/Delivery.cfm/SSRN_ID1285466_code386779.pdf?abstractid=1285466&mirid=4 https://repositori.upf.edu/bitstream/handle/10230/1180/1106.pdf?sequence=1 https://dialnet.unirioja.es/servlet/articulo?codigo=2876316 https://repositori.upf.edu/handle/10230/1180 https://repositori.upf.edu/bitstream/10230/1180/1/1106.pdf https://link.springer.com/article/10.1007%2Fs11004-011-9338-5 http://www.econ.upf.edu/docs/papers/downloads/1106.pdf https://hdl.handle.net/2072/319421 https://econ-papers.upf.edu/papers/1106.pdf |
| Rights: | Springer TDM CC BY NC ND |
| Accession Number: | edsair.doi.dedup.....ad9042a4b1e7105b6ea30abec3714dde |
| Database: | OpenAIRE |
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