r.pb {asbio} | R Documentation |

## Percentage bend correlation

### Description

The percentage bend correlation is a robust alternative to Pearson's product moment correlation.

### Usage

```
r.pb(X, Y, beta = 0.2)
```

### Arguments

`X` |
A quantitative vector |

`Y` |
A second quantitative vector |

`beta` |
Bend criterion |

### Details

The percentage bend correlation belongs to class of correlation measures which protect against marginal distribution (*X* and *Y*) outliers. In this way it is similar to Kendall's `\tau`

, Spearman's `\rho`

, and biweight midcovariance. A second class of robust correlation measures which take in to consideration the overall structure of the data (*O* estimators) are discussed by Wilcox (2005, pg. 389). A value for the bend criterion `beta`

is required in the `R.pb`

function; `beta`

= 0.2 is recommended by Wilcox (2005).

### Value

A dataframe with the correlation, test statistic and *P*-value for the null hypothesis of independence are returned.

### Author(s)

Ken Aho

### References

Wilcox, R. R. (2005) *Introduction to Robust Estimation and Hypothesis Testing, Second
Edition*. Elsevier, Burlington, MA.

### See Also

### Examples

```
x<-rnorm(100)
y<-rnorm(100)
r.pb(x,y)
```

*asbio*version 1.9-7 Index]