Balanced Incomplete Block Design
GPTKB entity
Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
combinatorics
|
| gptkbp:abbreviation |
gptkb:BIBD
|
| gptkbp:application |
clinical trials
agricultural experiments survey sampling |
| gptkbp:defines |
A set of v elements arranged in b blocks, each block containing k elements, each element occurs in r blocks, and every pair of elements occurs together in exactly λ blocks.
|
| gptkbp:generalizes |
pairwise balanced design
|
| gptkbp:hasEquation |
bk = vr
r(k-1) = λ(v-1) |
| gptkbp:hasSpecialCase |
gptkb:Steiner_triple_system
symmetric BIBD |
| https://www.w3.org/2000/01/rdf-schema#label |
Balanced Incomplete Block Design
|
| gptkbp:introducedIn |
1930s
|
| gptkbp:inventedBy |
gptkb:Ronald_Fisher
|
| gptkbp:parameter |
b (number of blocks)
k (block size) r (replication number) v (number of treatments) λ (lambda, pairwise occurrence) |
| gptkbp:property |
each pair of elements occurs in exactly λ blocks
k < v not all possible pairs are in the same block |
| gptkbp:relatedTo |
gptkb:geometry
gptkb:Steiner_system block design |
| gptkbp:usedIn |
statistics
combinatorics experimental design |
| gptkbp:bfsParent |
gptkb:BIBD
|
| gptkbp:bfsLayer |
8
|