The function computes and displays an Aitchison Variation Matrix, with the variances and means of the log-ratios in the upper and lower triangles, respectively.
a matrix, or sub-matrix, of parts from a compositional data set.
Any less than detection limit values represented by negative values, or zeros or other numeric codes representing blanks in the data, must be removed prior to executing this function, see
Any less than detection limit values represented by negative values, or zeros or other numeric codes representing blanks in the data vector, must be removed prior to executing this function, see
Any data vectors (rows) containing
NAs are removed prior to computation.
This function is for used with closed compositional data sets, i.e. geochemical analyses. For an alternate approach see
gx.sm, where a robust ilr stability measure (Filzmoser et al., 2010) is used rather that the log-ratio variance, and the median of log-ratios is used rather than the mean.
Robert G. Garrett
Aitchison, J., 1984. The statistical analysis of geochemical compositions. Mathematical Geology, 16(6):531-564.
Aitchison, J., 1986. Ths Statistical Analysis of Compositional data. Chapman and Hall, London, U.K., 416 p.
Filzmoser, P, Hron, K. and Reimann, C., 2010. The bivariate statistical analysis of environmental (compositional) data. Science of the Total Environment, 408(19):4230-4238.
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