Suppose you performed an ANOVA with a = 6 treatments and n = 5 observations per

Question

Suppose you performed an ANOVA with a = 6 treatments and n = 5 observations per treatment. If the MSE=50 and the overall = 0.05, what would the minimum difference have to be between any two means for you to conclude they were significantly different if

A You performed the LSD comparison procedure?

B You performed Tukey’s multiple comparison procedure (you can use software or the book’s Table VII)?
C You performed Bonferroni’s multiple comparison procedure?

D You performed Scheffe’s procedure?

E Explain the relationship between power and the minimum difference. Also order the four from the most powerful to least least powerful comparison procedure under this design.

Explanation / Answer

From the information, observe that the person performd ANOVA with 6 treatments and each treatment has 5 observations.

If the MSE is 50 and overall level of significance is 0.05 then the minimum difference have to be between any two means for you to conclude they were significantly different when expalain the relationship between power and the minimum difference. Also order the four from the most powerful to least least powerful comparison procedure under this design.

Hence, the correct option is (E)

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