How does the F-statistic work to support comparison of group means in an ANOVA?In the sum-of-squares perspective, what role does the MS-between and MS-within play in comparing group means?Begin by writing the F-statistic using these two MS terms.After discussing this approach, write the F-statistic as it would be defined for model comparisons.How does this work.In this equation, define the part of the equation that applies to model fit, and the part that applies to model complexity.Which version of the F-test makes more sense to you?Why?Can you think of why the model comparison F-test conceptualization was developed later than the sum-of-squares conceptualization F-test?
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