If, in a one-way analysis of variance, the sample sizes are unequal and there are ni observations

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If, in a one-way analysis of variance, the sample sizes are unequal and there are ni observations for the ith treatment, show that
a η ΣΣυ- -ΣηG-1)-ΣΣ-τ.) i=l j=l =1 j=l i=1

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

If, in a one-way analysis of variance, the sample sizes
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