General balance and treatment permutations

Rosemary Anne Bailey, C. A. Rowley

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Many equi-replicate designs, whether ordinary block designs or multi-stratum designs, have a structure which is unchanged by a group G of permutations of the treatments. This group G is often used in the construction of the design. A survey of the properties of such designs is given, and useful necessary conditions on G are found for such a design to be generally balanced. If G is Abelian, then the necessary conditions are satisfied: in this case, explicit formulas for the efficiency factors are given.
Original languageEnglish
Pages (from-to)183-225
Number of pages43
JournalLinear Algebra and its Applications
Publication statusPublished - 1990


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