Mathematics · Statistics
Consider a Randomized Block Design with b blocks and k treatments. Let the observation corresponding to the i-th treatment and the j-th block be y ij , 1 ≤ i ≤ k, 1 ≤ j ≤ b, which satisfies the usual linear model. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The correlation between the estimates of two treatment contrasts is always negative.
- 2The estimate of any treatment contrast is uncorrelated with the estimate of any block contrast.✓
- 3The error sum of squares has bk - 1 degrees of freedom.
- 4The estimates of any two treatment contrasts are uncorrelated.
Correct answer
The estimate of any treatment contrast is uncorrelated with the estimate of any block contrast.
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