Which of the following are the characteristics of distribution free non-parametric tests?

1.They can be applied on original data obtained in any kind of scale.

2.They require homogeneity of variance.

3.They do not need any particular type of distribution.

4.They can not be used, if sample is selected randomly.

5.They are quicker and easier than parametric tests.

A1, 2 & 3 only

B4 & 5 only

C3 & 5 only ✓ Correct

D1 & 5 only

Correct answer: (C) 3 & 5 only

Explanation

Distribution-free non-parametric tests do not need any particular type of distribution and are quicker and easier than parametric tests, so statements 3 and 5 are the defining characteristics.

Statement 2, needing homogeneity of variance, is a parametric requirement and not a non-parametric feature.

Statement 4, that they cannot be used when the sample is chosen randomly, is false.

Statement 1 overstates the point, since these tests suit nominal and ordinal data rather than every scale equally.

Being distribution free, they make no assumption about the shape of the population.

Chi-square, Mann-Whitney and Spearman rank correlation are common examples.

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