Distributional equivalence and subcompositional coherence in the analysis of compositional data, contingency tables and ratio-scale measurements

DOI10.1007/s00357-009-9027-yzbMath1276.62037OpenAlexW2006745694MaRDI QIDQ734387

Paul Lewi, Michael J. Greenacre

Publication date: 13 October 2009

Published in: Journal of Classification (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00357-009-9027-y

zbMATH Keywords

singular value decompositionbiplotcorrespondence analysisspectral mappingassociation modelslog-ratio analysis

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Contingency tables (62H17)

Related Items (9)

Predictor versus response permutation for significance testing in weighted regression and redundancy analysis ⋮ Weighting of parts in compositional data analysis: advances and applications ⋮ Aitchison's compositional data analysis 40 years on: a reappraisal ⋮ Metrics of \(L_{p}\)-type and distributional equivalence principle ⋮ Power transformations in correspondence analysis ⋮ Colours and Cocktails: Compositional Data Analysis 2013 Lancaster Lecture ⋮ Measures of Association and Visualization of Log Odds Ratio Structure for a Two Way Contingency Table ⋮ Weighted symmetric pivot coordinates for compositional data with geochemical applications ⋮ Variable selection in compositional data analysis using pairwise logratios

Uses Software

• R
• ca
• chemCal
• LEM

Cites Work

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• Logratio analysis and compositional distance.
• The analysis of cross-classified data having ordered and/or unordered categories: Association models, correlation models, and asymmetry models for contingency tables with or without missing entries
• Graphical Exploration of Gene Expression Data: A Comparative Study of Three Multivariate Methods
• Biplots of Compositional Data
• Correspondence Analysis in Practice
• Principal component analysis of compositional data
• Goodness of fit of biplots and correspondence analysis
• A Comparison of Different Methods for Representing Categorical Data
• The Analysis of Cross-Classified Data: Independence, Quasi-Independence, and Interactions in Contingency Tables with or Without Missing Entries
• The biplot graphic display of matrices with application to principal component analysis
• On criteria for measures of compositional difference

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