Mathematics · Analysis of Variance
For a completely randomized design with k treatments and n observations, where yij is the response from the jth unit receiving the ith treatment, ∑i∑j yij = y, and ∑j yij = yi•. Which of the following options correctly represents the sum of squares due to treatments?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1∑i=1k ni(ȳi• - ȳ)2✓
- 2∑i=1k ∑j=1ni (yij - ȳ)2
- 3∑i=1k (ȳi• - ȳ)2
- 4∑i=1k ∑j=1ni (yij - ȳi•)2
Correct answer
∑i=1k ni(ȳi• - ȳ)2
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