Bailey, R. A.

Association schemes: designed experiments, algebra and combinatorics - Cambridge: Cambridge University Press, 2011. - xviii, 387p. : ill. ; pb. ; 23 cm. - Cambridge studies in advanced mathematics ; 84 .

Includes bibliographical and indexes.

Association schemes were invented by statisticians on order to enable them to extend their range of block designs from 2-designs to partially balanced designs. However, they have intrinsic interest to combinatorialists and to group theorists as they include strongly regular graphs and schemes based on Abelian groups. They also have a wider use within statistics, forming the basic structures of many designed experiments. This book blends these topics in an accessible way without assuming any background in either group theory or designed experiments

9780521188012


Experimental design
Combinatorial analysis
Algebraic statistics
Bose-Mesner algebra
Experimental design

511.6 / BAI