Mathematics · Design of Experiments

Consider a BIBD (Balanced Incomplete Block Design) with v treatments in b blocks, each of which has k plots. Let r denote the number of blocks in which each treatment occurs. Let λ be the number of blocks in which each pair of treatments occurs. Which of the following statements is necessarily true?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1r(v - 1) = λ(b - 1)
2r(b - 1) = λ(k - 1)
3vr = bk✓
4vb = rk

Correct answer

vr = bk

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