Given below are two statements. In the light of the above statements, choose the correct answer from the options given below.
Statement I:Non-parametric tests are often more efficient compared to tests of significance or parametric tests.
Statement II:Non-parametric tests can be applicable to ordinal or nominal scale data.
ABoth Statement I and Statement II are true
BBoth Statement I and Statement II are false
CStatement I is true but Statement II is false
DStatement I is false but Statement II is true ✓ Correct
Correct answer: (D) Statement I is false but Statement II is true
Explanation
Non-parametric tests are generally less efficient than parametric ones, so Statement 1 is false, while they do apply to ordinal and nominal data, so Statement 2 is true.
When distributional assumptions hold, parametric tests have greater statistical power.
Non-parametric tests trade some efficiency for freedom from those assumptions.
They work on ranks and categories, suiting ordinal and nominal scales.
Statement 1 wrongly reverses the efficiency comparison.
The Mann-Whitney and Kruskal-Wallis tests are common non-parametric methods.
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