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:

  1. A, B and E Only
  2. A, B and C Only
  3. A, B and D Only
  4. C, D and E Only

Answer (Detailed Solution Below)

Option 2 : A, B and C Only

Detailed Solution

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The correct answer is - Option 2: A, B, and C Only

Key Points

  • Non-parametric tests
    • These tests do not assume a specific distribution for the data.
    • They are used when the data does not meet the assumptions required for parametric tests.
  • Mann Whitney U test
    • Also known as the Wilcoxon rank-sum test.
    • Used to compare differences between two independent groups.
  • Sign test
    • Used to test the consistency of differences between pairs of observations.
    • Often applied to matched pairs data.
  • Kruskal-Wallis H test
    • Used to compare three or more independent groups.
    • It is an extension of the Mann Whitney U test for more than two groups.

Additional Information

  • Parametric tests
    • These tests assume the data follows a certain distribution, typically normal distribution.
    • Examples include the t-test and ANOVA.
  • t test
    • Used to compare the means of two groups.
    • Assumes the data is normally distributed.
  • ANOVA (Analysis of Variance)
    • Used to compare the means of three or more groups.
    • Assumes the data is normally distributed and the variances are equal.
  • Choosing the right test
    • When data does not meet parametric assumptions, non-parametric tests are preferred.
    • Understanding the characteristics of the data is crucial for selecting the appropriate test.
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