From the following, identify the non-parametric tests of hypotheses

A. Chi-square test

B. F-Test

C. Signed Rank test

D. Rank Sum test

Choose the correct answer from the options given below 

The Correct answer is A, C, and D only.

Key PointsThere is a slight adjustment in the option than what was in the original PYP.

• Parametric tests:
  • Parametric tests are employed when there is prior knowledge of the population distribution, or in cases where the distribution can be approximated to a normal distribution, facilitated by the Central Limit Theorem.
  • These tests are built upon statistical distributions within the data and involve assumptions about the population parameters.​
  • Examples:
    • T-tests
    • Z-Tests
    • F-Tests
    • ANOVA (Analysis of Variance).
• Non-parametric tests:
  • ​Non-parametric tests are employed when there is insufficient knowledge about the population, and there's a requirement to test hypotheses regarding the population.
  • Unlike parametric tests, these tests do not rely on any specific distribution and refrain from making assumptions about the population parameters.
  • Examples:
    • The Kruskal-Wallis Test
    • The runs Test
    • Chi-square test,
    • Signed Rank test,
    • Rank Sum test, 
    • Mann-Whitney U test
    • Wilcoxon signed-rank test