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- catalog abstract ""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."--Jacket.".
- catalog contributor b13187286.
- catalog created "c2004.".
- catalog date "2004".
- catalog date "c2004.".
- catalog dateCopyrighted "c2004.".
- catalog description ""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."--Jacket.".
- catalog description "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.".
- catalog description "Includes bibliographical references (p. 367-380) and index.".
- catalog extent "xviii, 387 p. :".
- catalog identifier "052182446X".
- catalog isPartOf "Cambridge studies in advanced mathematics ; 84".
- catalog issued "2004".
- catalog issued "c2004.".
- catalog language "eng".
- catalog publisher "Cambridge, UK ; New York : Cambridge University Press,".
- catalog subject "511/.6 21".
- catalog subject "Association schemes (Combinatorial analysis)".
- catalog subject "Experimental design.".
- catalog subject "QA164 .B347 2004".
- catalog tableOfContents "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.".
- catalog title "Association schemes : designed experiments, algebra and combinatorics / R.A. Bailey.".
- catalog type "text".