Question
Download Solution PDFWhich of the following are considered non-parametric 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:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF| Non-Parametric Tests | Parametric Tests |
| Statistical tests that are not based on a normal distribution of data or on any other assumption are known as distribution-free tests or non-parametric tests. The data is generally ranked or grouped. | Parametric tests normally involve data expressed in absolute numbers or values rather than ranks. Parametric tests are useful as these tests are most powerful for testing the significance or trustworthiness of the computed sample statistics. |
| Examples include the Chi-square test, Spearman’s rank correlation coefficient, Mann-Whitney U test, Kruskal-Wallis H test, etc. | Examples include the Student’s t-test, F-test, ANOVA, etc. |
| In this, the statistics are based on the ranks of observations and do not depend on any distribution of the population. |
However, their use is based upon certain assumptions. These assumptions are based on the nature of the population distribution and on the way the type of scale is used to quantify the data measures.
|
Therefore, option 1 is the correct answer.
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