Three brands of running shoes are each tested by 10 different runners.The amount of wear on the sole of the shoes is then measured.The objective is to determine if there is any difference among the three brands of shoes based on how long the soles last.The degrees of freedom for testing whether the brands of shoes differ are D₁ = 9 and D₂ = 2.

Question

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The degrees of freedom for testing differences among three brands using ANOVA would be D1 = 2 (number of groups - 1) and D2 = 27 (total number of observations - number of groups).

Three Brands of Running Shoes Are Each Tested by 10