Which of the following is one of the non-parametric counterparts of ANOVA?

Correct option is A

Explanation:

1. Kruskal-Wallis Test (Correct):
• The Kruskal-Wallis Test is a non-parametric counterpart of ANOVA.
• It is used to compare three or more independent groups when the assumption of normality is violated.
• Instead of comparing means, it compares the medians of groups.

Information Booster:

·         No Assumptions About Data Distribution: Non-parametric tests don’t require the data to follow a specific distribution (e.g., normal distribution).

·         Used for Ordinal or Nominal Data: These tests are suitable for data that is ordinal (ranked) or nominal (categorical), rather than interval or ratio data.

·         Handles Small Sample Sizes: Non-parametric tests are often used when the sample size is small and data may not meet the assumptions of parametric tests.

Additional Information:

1. Mann-Whitney Test:
• This is a non-parametric test for comparing two independent groups, not three or more, making it an alternative to the independent samples t-test.
2. Kendall's Test:
• This is a correlation measure (Kendall’s Tau) used for ordinal data and does not compare group differences.
3. Wilcoxon’s Test:

This refers to the Wilcoxon Signed-Rank Test, which is a non-parametric alternative to the paired samples t-test for two related groups