Mathematics · Design of Experiments

In a Balanced Incomplete Block Design (BIBD) with v treatments and b blocks, let t j denote the effect of the j th treatment and b t denote the effect of the t th block (1 ≤ j ≤ v, 1 ≤ t ≤ b). Which of the following statements is necessarily true?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

t j - t i is estimable for all 1 ≤ i < j ≤ v

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In a Balanced Incomplete Block Design (BIBD) with v treatments and b blocks, let t j denote the effect of the j th treatment and b t denote the effect of the t th block (1 &le; j &le; v, 1 &le; t &le; b). Which of the following statements is necessarily true?