Publication details for Tahani Coolen-MaturiMaturi, T.A. & Elsayigh, A. (2010). A Comparison of Correlation Coefficients via a Three-Step Bootstrap Approach. Journal of Mathematics Research 2(2): 3-10.
- Publication type: Journal Article
- ISSN/ISBN: 1916-9795, 1916-9809
- DOI: 10.5539/jmr.v2n2p3
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
In this paper we compare ten correlation coefficients using a three-step bootstrap approach (TSB). A three-step bootstrap
is applied to determine the optimal repetitions, B, to estimate the standard error of the statistic with certain degree of
accuracy. The coefficients in question are Pearson product moment (r), Spearman’s rho (ρ), Kendall’s tau (τ) , Spearman’s
Footrule (Ft), Symmetric Footrule (C), the Greatest deviation (Rg), the Top - Down (rT ), Weighted Kendall’s tau (τw),
Blest (ν), and Symmetric Blest’s coefficient (ν∗). We consider a standard error criterion for our comparisons. However,
since the rank correlation coefficients suffer from the tied problem that results from the bootstrap technique, we use
existing modified formulae for some rank correlation coefficients, otherwise, the randomization tied-treatment is applied.