R: Concordant and Discordant Pairs

ConDisPairs {DescTools} | R Documentation

## Concordant and Discordant Pairs

### Description

This function counts concordant and discordant pairs for two variables x, y with at least ordinal scale, aggregated in a 2way table. This is the base for many association measures like Goodman Kruskal's gamma, but also all tau measures.

### Usage

    ConDisPairs(x)

### Arguments

`x` | a 2-dimensional table. The column and the row order must be the logical one.

### Details

The code is so far implemented in R (O(n^2)) and therefore slow for large sample sizes (>5000). An O(n log(n)) implementation is on track.

### Value

a list with the number of concordant pairs, the number of discordant pairs and the matrix

### Author(s)

Andri Signorell <andri@signorell.net>

### References

Agresti, A. (2002) Categorical Data Analysis. John Wiley & Sons, pp. 57-59.

Goodman, L. A., & Kruskal, W. H. (1954) Measures of association for cross classifications. Journal of the American Statistical Association, 49, 732-764.

Goodman, L. A., & Kruskal, W. H. (1963) Measures of association for cross classifications III: Approximate sampling theory. Journal of the American Statistical Association, 58, 310-364.

### See Also

Association measures:
`KendallTauA` (tau-a), `cor` (method="kendall") for tau-b, `StuartTauC` (tau-c), `SomersDelta`
`Lambda`, `GoodmanKruskalTau` (tau), `UncertCoef`, `MutInf`

### Examples

    tab <- as.table(rbind(c(26,26,23,18,9),c(6,7,9,14,23)))
    ConDisPairs(tab)

[Package DescTools version 0.99.38 Index]