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Which of the following are examples of non-parametric tests? A. Mann Whitney U test B. Sign test C. Kruskal-Wallis H test D. t-test E. ANOVA
Question



Which of the following are examples of non-parametric tests?
A. Mann Whitney U test B. Sign test C. Kruskal-Wallis H test D. t-test E. ANOVA
Choose the most appropriate answer from the options given below:

A.

A, B, and E only

B.

A, B, and C only

C.

A, B, and D only

D.

C, D, and E only

Correct option is B


Non-parametric tests are statistical tests that do not assume a specific distribution for the data and are often used when the data is ordinal, or when the assumptions of parametric tests (like normality) are not met. The following are non-parametric tests:
1. A. Mann Whitney U test: This is a non-parametric test used to compare differences between two independent groups when the dependent variable is ordinal or continuous but not normally distributed.
2. B. Sign test: This is a non-parametric test used to test the median of a population or to compare two related samples when data is ordinal or not normally distributed.
3. C. Kruskal-Wallis H test: This is a non-parametric alternative to the one-way ANOVA and is used to compare more than two independent groups when the dependent variable is ordinal or not normally distributed.
The tests D. t-test and E. ANOVA are parametric tests, which require the assumption of normality in the data and are used when the data is continuous and normally distributed.
Information Booster:
· Mann Whitney U test (A) is used to compare the medians between two independent groups, making it ideal for non-parametric data.
· Sign test (B) is used to test hypotheses regarding the median or compare two related samples, particularly when the data is skewed or not normally distributed.
· Kruskal-Wallis H test (C) is used for comparing more than two independent groups when assumptions of normality for ANOVA are not met.
Additional Knowledge on Incorrect Options:
· t-test: This is a parametric test used to compare the means of two groups. It assumes that the data is normally distributed and typically used with interval or ratio data.
· ANOVA: This is a parametric test used to compare the means of three or more groups, assuming normality of the data and homogeneity of variance.

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