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 available as (so far) undocumented function `DescTools:::.DoCount(x, y, wts)`

returning only concorant and discordant pairs (not including standard errors to be used for calculating confidence intervals).

### 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)
```

*DescTools*version 0.99.55 Index]