coord {robCompositions}

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)