coord: Coordinate representation of compositional tables

In robCompositions: Compositional Data Analysis

Coordinate representation of compositional tables

Description

General approach to orthonormal coordinates for compositional tables

Usage

coord(x, SBPr, SBPc)

## S3 method for class 'coord'
print(x, ...)

Arguments

x	an object of class “table”, “data.frame” or “matrix”
SBPr	sequential binary partition for rows
SBPc	sequential binary partition for columns
...	further arguments passed to the print function

Details

A contingency or propability table can be considered as a two-factor composition, we refer to compositional tables. This function constructs orthonomal coordinates for compositional tables using the balances approach for given sequential binary partitions on rows and columns of the compositional table.

Value

Row and column balances and odds ratios as coordinate representations of the independence and interaction tables, respectively.

row_balances	row balances
row_bin	binary partition for rows
col_balances	column balances
col_bin	binary parition for columns
odds_ratios_coord	odds ratio coordinates

Author(s)

Kamila Facevicova, and minor adaption by Matthias Templ

References

Facevicova, K., Hron, K., Todorov, V., Templ, M. (2018) General approach to coordinate representation of compositional tables. Scandinavian Journal of Statistics, 45(4), 879-899.

Examples

x <- rbind(c(1,5,3,6,8,4),c(6,4,9,5,8,12),c(15,2,68,42,11,6),
           c(20,15,4,6,23,8),c(11,20,35,26,44,8))
x
SBPc <- rbind(c(1,1,1,1,-1,-1),c(1,-1,-1,-1,0,0),c(0,1,1,-1,0,0),
              c(0,1,-1,0,0,0),c(0,0,0,0,1,-1))
SBPc
SBPr <- rbind(c(1,1,1,-1,-1),c(1,1,-1,0,0),c(1,-1,0,0,0),c(0,0,0,1,-1))
SBPr
result <- coord(x, SBPr,SBPc)
result
data(socExp)

robCompositions documentation built on Aug. 25, 2023, 5:13 p.m.