Total least squares solution for compositional data using linear models

DOI10.1080/02664760902914532OpenAlexW2045978762MaRDI QIDQ5123602

Karel Hron, Eva Fišerová

Publication date: 29 September 2020

Published in: Journal of Applied Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02664760902914532

zbMATH Keywords

estimationtotal least squareslinear regression modelisometric log-ratio transformationmultivariate outliersconfidence ellipsecalibration line

Mathematics Subject Classification ID

Statistics (62-XX)

Uses Software

• R
• alr3
• VanHuffel

Cites Work

• Overview of total least-squares methods
• Dealing with zeros and missing values in compositional data sets using nonparametric imputation
• Isometric logratio transformations for compositional data analysis
• Groups of parts and their balances in compositional data analysis
• Compositional data analysis: Where are we and where should we be heading?
• Outlier detection for compositional data using robust methods
• Indicator kriging without order relation violations
• Biplots of Compositional Data
• Univariate linear calibration via replicated errors-in-variables model
• Principal component analysis of compositional data
• Logistic-Normal Distributions: Some Properties and Uses
• Statistical Interpretation of Species Composition
• An analysis of variance test for normality (complete samples)
• Geometric approach to statistical analysis on the simplex
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