Question

1. What are the limitations of chi-square? Explain

2. Explain contingency table analysis and how is it applied?

3. How many types of test are considered non-parameteric data and briefly explain each?

4. What are the elements and assumptions of the Wilcoxon Signed Rank Test?

5. What are the steps needed to calculate the Wilcoxon Rank Sum Test?

6. Explain the summary of the chi-square steps.

7. Describe the Kruskal-Wallis Test

Answer 1

Limitations for chi square-:

Chi-square gives erroneous result when the frequency of any particular cells of table is less then 5, because chi square is sensituve towards small frequency.

chi-square get highly affected by sample size (n). As if we increase sample size, absolute differences becomes smaller and smaller proportion of the expected value. What this means to say that may be a strong association may not come up as significant if the sample size is small, and same for large samples, we may find statistical significance when the findings may be small and uninteresting, i.e., the findings may not significant, although they are statistically significant.