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I assert that rejecting H0 in a one-factor fixed-effects ANOVA with J = 3 indicates that...

I assert that rejecting H0 in a one-factor fixed-effects ANOVA with J = 3 indicates that all three pairs of group means are necessarily statistically significantly different using the Scheffe procedure. Am I correct?

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Answer #1

Answer:

Given by:

Here,

rejecting the null hypothesis does not mean that all 3 pairs of group means are essentially statistically considerably different as

the null hypothesis is rejected as at least one pair is statistically considerably different

thus even when only one pair is statistically significantly different ; null hypothesis is rejected,

therefore not all three pairs are of necessity statistically significantly different

(satisfy revert for any explanation)

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