03574nam 2200721Ia 450 991082681690332120200520144314.01-107-14641-01-280-45792-997866104579220-511-18557-X0-511-18474-30-511-18738-60-511-31353-50-511-61088-20-511-18645-2(CKB)1000000000353495(EBL)256673(OCoLC)171138470(SSID)ssj0000106886(PQKBManifestationID)11140454(PQKBTitleCode)TC0000106886(PQKBWorkID)10007769(PQKB)11326864(UkCbUP)CR9780511610882(MiAaPQ)EBC256673(Au-PeEL)EBL256673(CaPaEBR)ebr10124692(CaONFJC)MIL45792(OCoLC)935231193(PPN)261312766(EXLCZ)99100000000035349520030305d2004 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierAssociation schemes designed experiments, algebra, and combinatorics /R.A. Bailey1st ed.Cambridge ;New York Cambridge University Press20041 online resource (xviii, 387 pages) digital, PDF file(s)Cambridge studies in advanced mathematics ;84Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-18801-6 0-521-82446-X Includes bibliographical references (p. 367-380) and index.Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Acknowledgements; 1 Association schemes; 2 The Bose-Mesner algebra; 3 Combining association schemes; 4 Incomplete-block designs; 5 Partial balance; 6 Families of partitions; 7 Designs for structured sets; 8 Groups; 9 Posets; 10 Subschemes, quotients, duals and products; 11 Association schemes on the same set; 12 Where next?; 13 History and references; Glossary of notation; References; IndexAssociation schemes are of interest to both mathematicians and statisticians and this book was written with both audiences in mind. For statisticians, it shows how to construct designs for experiments in blocks, how to compare such designs, and how to analyse data from them. The reader is only assumed to know very basic abstract algebra. For pure mathematicians, it tells why association schemes are important and develops the theory to the level of advanced research. This book arose from a course successfully taught by the author and as such the material is thoroughly class-tested. There are a great number of examples and exercises that will increase the book's appeal to both graduate students and their instructors. It is ideal for those coming either from pure mathematics or statistics backgrounds who wish to develop their understanding of association schemes.Cambridge studies in advanced mathematics ;84.Association schemes (Combinatorial analysis)Experimental designAssociation schemes (Combinatorial analysis)Experimental design.511/.6Bailey R(Rosemary)1615059MiAaPQMiAaPQMiAaPQBOOK9910826816903321Association schemes3945118UNINA