Question: If, in a one-way analysis of variance, the sample sizes are unequal and there are ni observations for the ith treatment, show that Is analogous

If, in a one-way analysis of variance, the sample sizes are unequal and there are ni observations for the ith treatment, show that

Is analogous to the identity of Theorem 15.1. Also show that the degrees of freedom for SST, SS(Tr), and SSE are, respectively, N €“ 1, a €“ 1, and N €“ a, where

a - -G-1)--.) i=l j=l =1 j=l i=1

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