Volume 5, Issue 5, September 2016, Page: 270-279
Intrinsically Ties Adjusted Partial Tau (C-Tap) Correlation Coefficient
Oyeka Ikewelugo Cyprian Anaene, Derpartment of Statistics, Physical Science Faculty, Nnamdi Azikiwe University, Awka, Nigeria
Osuji George Amaeze, Derpartment of Statistics, Physical Science Faculty, Nnamdi Azikiwe University, Awka, Nigeria
Obiora-Ilouno Happiness Onyebuchi, Derpartment of Statistics, Physical Science Faculty, Nnamdi Azikiwe University, Awka, Nigeria
Received: Dec. 21, 2015;       Accepted: May 24, 2016;       Published: Aug. 10, 2016
DOI: 10.11648/j.ajtas.20160505.14      View  2611      Downloads  68
Abstract
This paper present a non-parametric statistical method for the estimation of partial correlation coefficient intrinsically adjusted for tied observations in the data. The method based on a modification of the method of estimating Tau correlation coefficient may be used when the population of interest are measurements on as low as the ordinal scale that are not necessary continuous or even numeric. The estimated partial correlation coefficient is a weighted average of the estimates obtained when each of the observations whose assigned ranks are arranged in their natural order as well as the observations whose assigned ranks are tagged along, with the weights being functions of the number of tied observations in each population. It is shown that failure to adjust for ties tends to lead to an underestimation of the true partial correlation coefficient, an effect that increases with the number of ties in the data. The proposed method is illustrated with some data and shown to compare favorably with the Kendall approach.
Keywords
Intrinsically, Ties, Adjusted Partial Tau (C-Tap), Correlation, Coefficient, Estimation
To cite this article
Oyeka Ikewelugo Cyprian Anaene, Osuji George Amaeze, Obiora-Ilouno Happiness Onyebuchi, Intrinsically Ties Adjusted Partial Tau (C-Tap) Correlation Coefficient, American Journal of Theoretical and Applied Statistics. Vol. 5, No. 5, 2016, pp. 270-279. doi: 10.11648/j.ajtas.20160505.14
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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