Designs on association schemes

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An association scheme partitions a finite set \Omega into symmetric subsets, one of which is the diagonal subset. This paper develops the idea of a design map between two association schemes. In many designed experiments, the structure on the experimental units is an orthogonal block structure. These appear to be the structures where both the components-of-variance and patterns-of-covariance approaches (almost) agree. By replacing orthogonal block structures by association schemes, only the patterns-of-covariance model generalizes.
Original languageEnglish
Title of host publicationScience and Statistics: A Festschrift for Terry Speed
EditorsDarlene R. Goldstein
Place of PublicationBeechwood, Ohio
PublisherInstitute of Mathematical Statistics
Number of pages24
ISBN (Print)0-940600-56-0
Publication statusPublished - 2003

Publication series

NameLecture Notes---Monograph Series
PublisherInstitute of Mathematical Statistics


  • association schemes
  • balanced design
  • experimental design
  • general balance
  • Latin square
  • orthogonal block structure


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