For a nonparametric version of the independent test, Correlation uses the means of variables to measure the strength of the relationship between two or more variables. Regression also uses the mean to measure the relationship between the variable and also to predict one variable given the other. Means comparison is a measure used to test the hypothesis, between two variables means whether the means are significantly different from each other or similar to each other (Field, 2009).
The hypothesis of the test is defined by two statements, the null and alternative hypothesis as follows,
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