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What does significant F-test tell us about the means of the J groups? In the case where we find a significant F value, what is

What does significant F-test tell us about the means of the J groups? In the case where we find a significant F value, what is the next step to understanding the pattern of means in the data? In the case where we find a non-significant F value, how an we explain the observed differences between the means?

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