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In a two-way ANOVA in depth, the relate in an equation the total variation, , where i=1,2,…,a, j=1,2,…,b and k=1,2,...,n; the explained variation by the "treatment" or first factor is , the explained variation by the "block" or second factor is and the unexplained variation .

SST=SSA+SSB+ SS(AB) + SSE

Degrees of freedom N-1 a-1 b-1 (a-1)(b-1) N-ab N=nab

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