Automorphism groups of block structures with and without treatments

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review


A designed experiment has two permutation groups associated with it. The first, consisting of all automorphisms of the block structure (ignoring treatments) determines the strata for the subsequent analysis. The second, comprising all permutations of the plots which respect both the block structure and the treatment allocation, can help to simplify calculation of efficiency factors and hence assessment of designs.
Original languageEnglish
Title of host publicationCoding Theory and Design Theory, Part II Design Theory
EditorsDijen Ray-Chaudhuri
Place of PublicationNew York
Number of pages18
ISBN (Print)0 387 97231 5
Publication statusPublished - 1990

Publication series

NameIMA Volumes in Mathematics and its Applications
PublisherSpringer Verlag


  • automorphism
  • block structure
  • centralizer algebra
  • designed experiment
  • efficiency factor
  • multiplicity-free
  • permutation character
  • randomization
  • strata


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