Association Schemes Designed Experiments Algebra and Combinatorics 1st Edition by R A Bailey ISBN 0521188016 9780521188012 by R. A. Bailey 9780521824460, 052182446X instant download after payment.

Association Schemes Designed Experiments Algebra and Combinatorics 1st Edition by R A Bailey - Ebook PDF Instant Download/Delivery: 0521188016, 9780521188012
Full download Association Schemes Designed Experiments Algebra and Combinatorics 1st Edition after payment

Product details:

ISBN 10: 0521188016 
ISBN 13: 9780521188012
Author: R A Bailey

Association 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.

Association Schemes Designed Experiments Algebra and Combinatorics 1st Table of contents:

1 Association schemes
1.1 Partitions
1.2 Graphs
1.3 Matrices
1.4 Some special association schemes
1.4.1 Triangular association schemes
1.4.2 Johnson schemes
1.4.3 Hamming schemes
1.4.4 Distance-regular graphs
1.4.5 Cyclic association schemes
Exercises
2 The Bose?Mesner algebra
2.1 Orthogonality
2.2 The algebra
2.3 The character table
2.4 Techniques
2.5 Parameters of strongly regular graphs
Exercises
3 Combining association schemes
3.1 Tensor products
3.2 Crossing
3.3 Isomorphism
3.4 Nesting
3.5 Iterated crossing and nesting
Exercises
4 Incomplete-block designs
4.1 Block designs
4.2 Random variables
4.3 Estimating treatment effects
4.4 Efficiency factors
4.5 Estimating variance
4.6 Building block designs
4.6.1 Juxtaposition
4.6.2 Inflation
4.6.3 Orthogonal superposition
4.6.4 Products
Exercises
5 Partial balance
5.1 Partially balanced incomplete-block designs
5.2 Variance and efficiency
5.3 Concurrence and variance
5.4 Cyclic designs
5.5 Lattice designs
5.5.1 Simple lattice designs
5.5.2 Square lattice designs
5.5.3 Cubic and higher-dimensional lattices
5.5.4 Rectangular lattice designs
5.6 General constructions
5.6.1 Elementary designs
5.6.2 New designs from old
5.7 Optimality
Exercises
6 Families of partitions
6.1 A partial order on partitions
6.2 Orthogonal partitions
6.3 Orthogonal block structures
6.4 Calculations
6.5 Orthogonal block structures from Latin squares
6.6 Crossing and nesting orthogonal block structures
Exercises
7 Designs for structured sets
7.1 Designs on orthogonal block structures
7.1.1 Row-column designs
7.1.2 Nested blocks
7.1.3 Nested row-column designs
7.1.4 Row-column designs with split plots
7.1.5 Other orthogonal block structures
7.2 Overall partial balance
7.3 Fixed effects
7.4 Random effects
7.5 Special classes of design
7.5.1 Orthogonal designs
7.5.2 Balanced designs
7.5.3 Cyclic designs
7.5.4 Lattice squares
7.6 Valid randomization
7.7 Designs on association schemes
7.7.1 General theory
7.7.2 Composite designs
7.7.3 Designs on triangular schemes
7.7.4 Designs on Latin-square schemes
7.7.5 Designs on pair schemes
Exercises
8 Groups
8.1 Blueprints
8.2 Characters
8.3 Crossing and nesting blueprints
8.4 Abelian-group block-designs
8.5 Abelian-group designs on structured sets
8.6 Group block structures
8.7 Automorphism groups
8.8 Latin cubes
Exercises
9 Posets
9.1 Product sets
9.2 A partial order on subscripts
9.3 Crossing and nesting
9.4 Parameters of poset block structures
9.5 Lattice laws
9.6 Poset operators
Exercises
10 Subschemes, quotients, duals and products
10.1 Inherent partitions
10.2 Subschemes
10.3 Ideal partitions
10.4 Quotient schemes and homomorphisms
10.5 Dual schemes
10.6 New from old
10.6.1 Relaxed wreath products
10.6.2 Crested products
10.6.3 Hamming powers
Exercises
11 Association schemes on the same set
11.1 The partial order on association schemes
11.2 Suprema
11.3 Inflma
11.4 Group schemes
11.5 Poset block structures
11.6 Orthogonal block structures
11.7 Crossing and nesting
11.8 Mutually orthogonal Latin squares
Exercises
12 Where next?
12.1 Few parameters
12.2 Unequal replication
12.3 Generalizations of association schemes
13 History and references
13.1 Statistics
13.1.1 Basics of experimental design
13.1.2 Factorial designs
13.1.3 Incomplete-block designs
13.1.4 Partial balance
13.1.5 Orthogonal block structures
13.1.6 Multi-stratum experiments
13.1.7 Order on association schemes
13.2 Algebra and combinatorics
13.2.1 Permutation groups, coherent con.guratons and cellular algebras
13.2.2 Strongly regular graphs
13.2.3 Distance-regular graphs
13.2.4 Geometry
13.2.5 Delsarte?s thesis and coding theory
13.2.6 Duals
13.2.7 Imprimitivity
13.2.8 Recent work

People also search for Association Schemes Designed Experiments Algebra and Combinatorics 1st:

preparing for a pandemic
    
guidance on preparing workplaces for an influenza pandemic
    
6 phases of a pandemic
    
influenza planning and response
    
is influenza a pandemic or epidemic
    
influenza paper

Tags: R A Bailey, Association, Schemes