Think about when you would use a nonparametric test vs a par

Think about when you would use a non-parametric test vs a parametric test. Give an example of a study (population and what you are studying) where you would use a non-parametric test. You do not need to specify an exact test, just discuss your example.

What question are you trying to answer?

What is your population?

Why would you need to use a non-parametric test?

Use your imagination here. Your questions and populations can be as crazy as you choose to make them - as long as they meet the criteria for non-parametric testing.

Solution

Parametric Nonparametric

Wilcoxon test

Parametric Nonparametric

Assumed distribution Normal Any
Assumed variance Homogeneous Any
Typical data Ratio or Interval Ordinal or Nominal
Data set relationships Independent Any
Usual central measure Mean Median
Benefits Can draw more conclusions Simplicity; Less affected by outliers
Tests
Choosing Choosing parametric test Choosing a non-parametric test
Correlation test Pearson Spearman
Independent measures, 2 groups Independent-measures t-test Mann-Whitney test
Independent measures, >2 groups One-way, independent-measures ANOVA Kruskal-Wallis test
Repeated measures, 2 conditions Matched-pair t-test

Wilcoxon test

Repeated measures, >2 conditions One-way, repeated measures ANOVA Friedman\'s test
Think about when you would use a non-parametric test vs a parametric test. Give an example of a study (population and what you are studying) where you would use

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