Question

In: Statistics and Probability

An advantage of non-parametric tests includes: a. Good power compared to parametric tests b. Set up...

An advantage of non-parametric tests includes:
a. Good power compared to parametric tests
b. Set up to test hypotheses and estimate effect size
c. Very few assumptions for the distribution of the data
d. Allows for analysis of large continuous scale data sets

Solutions

Expert Solution

A.Good power compared to parametric test.

False. Non parametric test contains fewer assumptions compared to parametric test. For example the assumption of normality is not required in non parametric test while almost all most influential and common paramertric tests such as t contains normality assumption a necessary condition for small sample size. As each assumptions are met...the power of this test is powerfull than the nor parametric test.

C. A very few assumptions for the distribution of data. As mentioned earlier , the non parametric test have very assumptions regarding the distribution of the data.

D. Even z test can used for large continuous random variable test. Hence option (D). Is false.

Therefore my answer is C.

B. The effect size can be analyzed in both parametric and non parametric test. Hence option B is false.c


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