A Comparison of Correlation Coefficients via a Three-Step Bootstrap Approach

Coolen-Maturi, T. and Elsayigh, A. (2010) A Comparison of Correlation Coefficients via a Three-Step Bootstrap Approach. Journal of Mathematics Research, 2 (2). pp. 3-10. ISSN 1916-9795. (Full text available)

PDF - Published Version
Available under License Creative Commons Attribution.
Download (110kB)
[img]
Preview

Abstract

In this article 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 ($\rho$), Kendall's tau ($\tau$) , Spearman's Footrule ($F_t$), Symmetric Footrule ($C$), the Greatest deviation ($R_g$), the Top - Down ($r_T$), Weighted Kendall's tau ($\tau_w$), Blest ($\nu$), and Symmetric Blest's coefficient ($\nu^*$). 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 formulas for some rank correlation coefficients, otherwise, the randomization tied-treatment is applied.

Item Type: Article
Subjects: H Social Sciences > H Social Sciences (General)
Divisions: Faculties > Social Sciences > Kent Business School > Management Science
Depositing User: Karen Finch
Date Deposited: 10 Jan 2012 15:17
Last Modified: 19 Jan 2012 12:33
Resource URI: http://kar.kent.ac.uk/id/eprint/28586 (The current URI for this page, for reference purposes)
  • Depositors only (login required):

Downloads

Downloads per month over past year