Combinatorics
A Balanced Incomplete Block Design (BIBD) is a specific type of combinatorial design used in experimental design where not all treatments are applied to every block, yet each treatment is paired with every other treatment in a balanced way. In a BIBD, the key parameters are the number of treatments, blocks, and the number of times each treatment appears in blocks, ensuring that the conditions under which treatments are tested remain unbiased and evenly distributed.
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