asbio (version 1.9-2)

r.pb: 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)

Value

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

Arguments

X

A quantitative vector

Y

A second quantitative vector

beta

Bend criterion

Author

Ken Aho

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).

References

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

See Also

corr, r.bw

Examples

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