Publications in Scientific Journals:
K. Facevicova, K. Hron, V. Todorov, M. Templ:
"Compositional Tables Analysis in Coordinates";
Scandinavian Journal of Statistics,
43
(2016),
4;
962
- 977.
English abstract:
Compositional tables - a continuous counterpart to the contingency tables - carry relative information about relationships between row and column factors; thus, for their analysis, only ratios between cells of a table are informative. Consequently, the standard Euclidean geometry should be replaced by the Aitchison geometry on the simplex that enables decomposition of the table into its independent and interactive parts. The aim of the paper is to find interpretable coordinate representation for independent and interaction tables (in sense of balances and odds ratios of cells, respectively), where further statistical processing of compositional tables can be performed. Theoretical results are applied to real-world problems from a health survey and in macroeconomics.
Keywords:
Compositional tables, log-ratio
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1111/sjos.12223
Electronic version of the publication:
http://onlinelibrary.wiley.com/doi/10.1111/sjos.12223/abstract
Created from the Publication Database of the Vienna University of Technology.