This exercise focuses on the difference between Parametric and Nonparametric sta

Question

This exercise focuses on the difference between Parametric and Nonparametric statistics.
1. Define parametric statistics.
2. Define nonparametric statistics.
3. What is referred to by the term “scale of measurement”?
4. What are the four common scales of measurement?
5. Which scale(s) of measurement are associated with parametric statistics?
6. Which scale(s) of measurement are associated with nonparametric statistics?
7. Identify the scale that would be associated with each of the following measurements.
a. Gender
b. Percentiles on a standardized achievement test
c. Highest academic degree earned (e.g., B.S., Master’s, etc.)
d. Raw scores on a standardized test
e. Letter grades assigned in class
f. Ethnicity
8. List at least three common assumptions associated with parametric statistics?
9. For each of the following parametric statistics, indicate the corresponding nonparametric statistic:
a. Independent Samples t-test
b. Dependent Samples t-test
c. Oneway Analysis of Variance
10. Which statistic is commonly used when the data are reported in the form of frequencies?

Explanation / Answer

9)

a) Independen t test is parametric test equivalent to

Mann Whitney u test is non parametric test.

b) dependent sample t Test equivalent to

Wilcoxon signed rank test.

C) ANOVA is equivalent to kruskal Wallis H test to compare 3 or means

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