Mathematics · ANOVA Formulas
For a completely randomized design with a total of k treatments, let xij be the i-th observation corresponding to the j-th treatment (i = 1, 2, ..., nj; j = 1, 2, ..., k). Let T be the total of all observations, x̄j be the mean of the j-th treatment, and x̄ = TN where N = Σj=1knj. The sum of squares due to treatments (SST) can be calculated using which formula?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Σj=1knj(x̄j - x̄)2✓
- 2Σj=1k(x̄j - x̄)
- 3Σj=1kΣi=1nj(xij - x̄)2
- 4Σj=1kΣi=1nj(xij - x̄j)2
Correct answer
Σj=1knj(x̄j - x̄)2
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