Question

Your ANOVA was statistically significant (Reject the H0). The groups had a means of: Group A:...

Your ANOVA was statistically significant (Reject the H0). The groups had a means of:

Group A: 25
Group B: 10
Group C: 15

Given this information, what would be the most appropriate summary statement for ANOVA hypothesis test?

a. Group A is different from both Groups B and C
b. Group A is different from Group B only
c. There is at least one significant group difference
d. There isn't enough information provided to make a summary statement

*please explain how you concluded your answer, thanks.

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Answer #1

The appropriate answer is,

c. There is atleast one significant group difference

because in ANOVA we test the null hypothesis that mean difference between groups are insignificant vs the alternative that atleast one significant group difference is present.

In this case all three group differences are significant and unique. Hence option c is correct.

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