coord | R Documentation |

General approach to orthonormal coordinates for compositional tables

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

`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 |

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.

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 |

Kamila Facevicova, and minor adaption by Matthias Templ

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.

```
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)
```

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