One assumption for parametric tests with independent measures data is that different treatment condi


Question: One assumption for parametric tests with independent measures data is that different treatment conditions have the same variance (homogeneity of variance assumption). However, a treatment effect that increases the mean often also increases the variability. In this situation, the parametric t-test or ANOVA is not justified and Mann Whitney should be used. The following data represent and example of this situation:

Treatment 1 (sample A) Treatment 2 (sample B)
1 8
5 20
0 14
2 27
4 6
2 10
3 19

A) Compute the mean and variance for each sample. Note the difference between the two sample variances

B) Use the Mann Whitney test with an alpha=0.05 to test for significant differences between the two treatments.

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See Solution: The solution consists of 2 pages
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