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2012 (Vol. 4, Issue: 4)
Article Information:

An Efficient Alternative to the Spearmanís Rank Correlation Coefficient for Tied Observations

Aliyu Usman and Mohammed Samaila
Corresponding Author:  Aliyu Usman 

Key words:  Concordance, cross-products, nonparametric correlation, ranks, sum of squares, tied observations,
Vol. 4 , (4): 94-97
Submitted Accepted Published
September 28, 2012 November 23, 2012 December 25, 2012

This study has introduced an efficient rank correlation formula similar to the method earlier derived by Spearman. The formula is based on the sum of the ranks rather than their difference as in Spearmanís formula. The formula was derived and tested with life data. Hence, if there are no ties in the data, the result shows that the formula gives the same result with the Spearmanís formula. When there are ties, it gives better result by reducing the influence of ties. The formula is easy to use devoid of any negative sign in the process of computation. The result obtained shows that the formula is similar to the Spearmanís formula when there are no ties but better when there are ties. Also the formula can be related directly to the Kendallís Coefficient of Concordance. It is recommended that this formula be used when there are ties.
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  Cite this Reference:
Aliyu Usman and Mohammed Samaila, 2012. An Efficient Alternative to the Spearmanís Rank Correlation Coefficient for Tied Observations.  Research Journal of Mathematics and Statistics, 4(4): 94-97.
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ISSN (Online):  2040-7505
ISSN (Print):   2042-2024
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