ON THE ANALYTICAL EFFICIENCY OF THE EXTENDED WILCOXON MATCHED PAIRS SIGNED RANK TEST

¹S.A. Abdulazeez and ²Lasisi A.R.

¹Department of Mathematics, Statistics and Computer Science, Kaduna Polytechnic, Kaduna State, Nigeria.

²Department of Physics, Federal College of Education, Kontagora, Niger State, Nigeria.

E-mail: mailto:yinkasikiruabdul@yahoo.comlasisiar@yahoo.com

Abstract

The Extended Wilcoxons’ Matched Pairs Sign Rank Test is a non-parametric test which is equivalent to the t-test. This new method provides for an adjustment by the constant 0.5 in the conventional Wilcoxons’ matched pairs sign rank test. This adjustment is justified because we are approximating a discrete distribution by a continuous distribution. 0.5 is added when   and it is subtracted if.  k is the effective sample size. More efficient results are obtained with this method as illustrated by two data sets. This method should be viewed as a useful tool for solving new problems.