UGC NET COMMERCE June 2019 Q60

0. Which of the following are considered nonparametric tests?
(a) Mann-Whitney U test
(b) Kruskal-Wallis test
(c) F-test
(d) T-test
(e) Chi-square test
Choose the correct option from the following:

  • Option : A
  • Explanation : Non-parametric tests vs. Parametric tests: Tests appropriate for analyzing ordinal and nominal data are called non-parametric tests. In contrast, tests for analyzing interval or ratio scale are called parametric tests. Parametric tests (z, t or F) require that certain assumption s be valid concerning the population from where the samples were drawn while non-parametric require few assumptions.Tests involving ranks of data are non-parametric. Non-parametric tests are not as powerful as parametric statistics and tend to err on the conservative side.
    Examples of Non-parametric tests:
    Chi-square test: Test of hypothesis to determine if categorical data shows dependency or if two classifications are independent.
    One sample sign test: Test of hypothesis related single value for given data.
    Two sample sign test, Fisher-Irwin test, Rank sum test (Wilcoxon-Mann-Whitney test i.e., U test, Kruskal-Wallis test i.e., H test), Wilcoxon Matched pairs test/Signed Rank test: Test of hypothesis related no difference among two or more sets of data.
    Charles Spearman’s rank correlation, Kendall’s Coefficient of concordance: Test of hypotheses related to relationship between variables.
    Kruskal-Wallis test: Test of hypothesis between more than two sets of data are analogous to ANOVA in parametric test.
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