Some comments on compositional data analysis in archaeometry, in particular the fallacies in Tangri and Wright’s dismissal of logratio analysis

This comment exposes the fallacies in the Tangri and Wright (1993) dismissal of the methodology of logratio analysis of compositional data as dangerous surgery, It suggests that compositional data analysts should pay enough attention to the basic nature of compositional data and some elementary principles underlying coherent study in order to avoid meaningless inferences.

[1]  V. Pawlowsky-Glahn,et al.  BLU Estimators and Compositional Data , 2002 .

[2]  V. Pawlowsky-Glahn,et al.  Geometric approach to statistical analysis on the simplex , 2001 .

[3]  Carles Barceló-Vidal Mathematical Foundations of Compositional Data Analysis , 2001 .

[4]  J. Aitchison,et al.  Logratio Analysis and Compositional Distance , 2000 .

[5]  Enrico Savazzi,et al.  Aspects of Multivariate Statistical Analysis in Geology , 1999 .

[6]  J. Aitchison Logratios and Natural Laws in Compositional Data Analysis , 1999 .

[7]  J. B. I. Garrigós,et al.  Alteration and Contamination of Archaeological Ceramics: the Perturbation Problem , 1999 .

[8]  J Aitchison,et al.  The one-hour course in compositional data analysis or compositional data analysis is simple , 1997 .

[9]  John Aitchison,et al.  Principles of compositional data analysis , 1994 .

[10]  M. Baxter COMMENT ON D. TANGRI AND R. V. S. WRIGHT,‘MULTIVARIATE ANALYSIS OF COMPOSITIONAL DATA …', ARCHAEOMETRY, 35 (1) (1993) , 1993 .

[11]  R. Wright,et al.  MULTIVARIATE ANALYSIS OF COMPOSITIONAL DATA: APPLIED COMPARISONS FAVOUR STANDARD PRINCIPAL COMPONENTS ANALYSIS OVER AITCHISON'S LOGLINEAR CONTRAST METHOD , 1993 .

[12]  J. Aitchison On criteria for measures of compositional difference , 1992 .

[13]  A. Woronow,et al.  Quantifying and testing differences among means of compositional data suites , 1990 .

[14]  John Aitchison,et al.  Relative variation diagrams for describing patterns of compositional variability , 1990 .

[15]  R. Reyment The statistical analysis of compositional data, by John Aitchison: Chapman & Hall, London, 1986, XV + 416 pages, price £29.95, ISBN 0-412-28060-4 , 1988 .

[16]  J. Aitchison Principal component analysis of compositional data , 1983 .

[17]  S. Shen,et al.  The statistical analysis of compositional data , 1983 .

[18]  John Aitchison,et al.  The Statistical Analysis of Compositional Data , 1986 .

[19]  J. Aitchison A new approach to null correlations of proportions , 1981 .

[20]  I. Gibson Statistics and Data Analysis in Geology , 1976, Mineralogical Magazine.

[21]  R. McCammon : Ratio Correlation: A Manual for Students of Petrology and Geochemistry , 1973 .

[22]  K. Gabriel,et al.  The biplot graphic display of matrices with application to principal component analysis , 1971 .

[23]  Felix Chayes,et al.  An Approximate Statistical Test for Correlations between Proportions , 1966, The Journal of Geology.

[24]  James E. Mosimann,et al.  On the compound negative multinomial distribution and correlations among inversely sampled pollen counts , 1963 .

[25]  W. C. Krumbein Open and Closed Number Systems in Stratigraphic Mapping , 1962 .

[26]  F. Chayes,et al.  Numerical Correlation and Petrographic Variation , 1962, The Journal of Geology.

[27]  J. Mosimann On the compound multinomial distribution, the multivariate β-distribution, and correlations among proportions , 1962 .

[28]  F. Chayes On correlation between variables of constant sum , 1960 .

[29]  F. Chayes On Ratio Correlation in Petrography , 1949, The Journal of Geology.

[30]  K. Pearson Mathematical contributions to the theory of evolution.—On a form of spurious correlation which may arise when indices are used in the measurement of organs , 1897, Proceedings of the Royal Society of London.