@inbook{c06817ecfe6541ce975997a3beaaccf9,
title = "Designs on association schemes",
abstract = "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.",
keywords = "association schemes, balanced design, experimental design, general balance, Latin square, orthogonal block structure",
author = "Bailey, {Rosemary Anne}",
year = "2003",
language = "English",
isbn = "0-940600-56-0",
series = "Lecture Notes---Monograph Series ",
publisher = "Institute of Mathematical Statistics",
pages = "79--102",
editor = "Goldstein, {Darlene R. }",
booktitle = "Science and Statistics: A Festschrift for Terry Speed",
address = "United States",
}