LEADER 03574nam 2200721Ia 450 001 9910826816903321 005 20200520144314.0 010 $a1-107-14641-0 010 $a1-280-45792-9 010 $a9786610457922 010 $a0-511-18557-X 010 $a0-511-18474-3 010 $a0-511-18738-6 010 $a0-511-31353-5 010 $a0-511-61088-2 010 $a0-511-18645-2 035 $a(CKB)1000000000353495 035 $a(EBL)256673 035 $a(OCoLC)171138470 035 $a(SSID)ssj0000106886 035 $a(PQKBManifestationID)11140454 035 $a(PQKBTitleCode)TC0000106886 035 $a(PQKBWorkID)10007769 035 $a(PQKB)11326864 035 $a(UkCbUP)CR9780511610882 035 $a(MiAaPQ)EBC256673 035 $a(Au-PeEL)EBL256673 035 $a(CaPaEBR)ebr10124692 035 $a(CaONFJC)MIL45792 035 $a(OCoLC)935231193 035 $a(PPN)261312766 035 $a(EXLCZ)991000000000353495 100 $a20030305d2004 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAssociation schemes $edesigned experiments, algebra, and combinatorics /$fR.A. Bailey 205 $a1st ed. 210 $aCambridge ;$aNew York $cCambridge University Press$d2004 215 $a1 online resource (xviii, 387 pages) $cdigital, PDF file(s) 225 1 $aCambridge studies in advanced mathematics ;$v84 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-18801-6 311 $a0-521-82446-X 320 $aIncludes bibliographical references (p. 367-380) and index. 327 $aCover; 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; Index 330 $aAssociation schemes are of interest to both mathematicians and statisticians and this book was written with both audiences in mind. For statisticians, it shows how to construct designs for experiments in blocks, how to compare such designs, and how to analyse data from them. The reader is only assumed to know very basic abstract algebra. For pure mathematicians, it tells why association schemes are important and develops the theory to the level of advanced research. This book arose from a course successfully taught by the author and as such the material is thoroughly class-tested. There are a great number of examples and exercises that will increase the book's appeal to both graduate students and their instructors. It is ideal for those coming either from pure mathematics or statistics backgrounds who wish to develop their understanding of association schemes. 410 0$aCambridge studies in advanced mathematics ;$v84. 606 $aAssociation schemes (Combinatorial analysis) 606 $aExperimental design 615 0$aAssociation schemes (Combinatorial analysis) 615 0$aExperimental design. 676 $a511/.6 700 $aBailey$b R$g(Rosemary)$01615059 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910826816903321 996 $aAssociation schemes$93945118 997 $aUNINA