Question:
Which of the following is/are TRUE for nonparametric statistics?
Which of the following is/are TRUE for nonparametric statistics?
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Think “distribution‐free and ranks” for nonparametrics: good for ordinal/nominal data and robust to nonnormality.
Updated On: Aug 30, 2025
- It is often called distribution free statistics
- It is used to analyze interval data
- It is used to analyze ordinal data
- It compares groups in terms of means
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The Correct Option is A, C
Solution and Explanation
Step 1: Nature of nonparametric tests. They make few (or no) assumptions about the population distribution, so they are distribution‐free. $\Rightarrow$ (A) is true.
Step 2: Level of measurement. Nonparametric procedures commonly work on ranks or categorical counts and are appropriate for ordinal/nominal data; hence (C) is true.
Step 3: Why the others are false. (B) Interval/ratio data with normality are typically handled by parametric tests. (D) Nonparametric comparisons usually use medians or rank sums (e.g., Mann–Whitney, Kruskal–Wallis), not means.
Thus, the correct statements are \fbox{(A) and (C)}.
Step 2: Level of measurement. Nonparametric procedures commonly work on ranks or categorical counts and are appropriate for ordinal/nominal data; hence (C) is true.
Step 3: Why the others are false. (B) Interval/ratio data with normality are typically handled by parametric tests. (D) Nonparametric comparisons usually use medians or rank sums (e.g., Mann–Whitney, Kruskal–Wallis), not means.
Thus, the correct statements are \fbox{(A) and (C)}.
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