Block Designs: Analysis, Combinatorics And Applications PDF Download

Author: Damaraju Raghavarao
Publisher: World Scientific
ISBN: 9814480231
Category : Mathematics
Languages : en
Pages : 224

View

Book Description
Combinatorial mathematicians and statisticians have made a wide range of contributions to the development of block designs, and this book brings together much of that work. The designs developed for a specific problem are used in a variety of different settings. Applications include controlled sampling, randomized response, validation and valuation studies, intercropping experiments, brand cross-effect designs, lotto and tournaments.The intra- and inter- block, nonparametric and covariance analysis are discussed for general block designs, and the concepts of connectedness, orthogonality, and all types of balances in designs are carefully summarized. Readers are also introduced to the designs currently playing a prominent role in the field: alpha designs, trend-free designs, balanced treatment-control designs, nearest neighbor designs, and nested designs.This book provides the important background results required by researchers in block designs and related areas and prepares them for more complex research on the subject.

Author: Damaraju Raghavarao
Publisher: World Scientific
ISBN: 9812563601
Category : Mathematics
Languages : en
Pages : 224

View

Book Description
Combinatorial mathematicians and statisticians have made a wide range of contributions to the development of block designs, and this book brings together much of that work. The designs developed for a specific problem are used in a variety of different settings. Applications include controlled sampling, randomized response, validation and valuation studies, intercropping experiments, brand cross-effect designs, lotto and tournaments.The intra- and inter- block, nonparametric and covariance analysis are discussed for general block designs, and the concepts of connectedness, orthogonality, and all types of balances in designs are carefully summarized. Readers are also introduced to the designs currently playing a prominent role in the field: alpha designs, trend-free designs, balanced treatment-control designs, nearest neighbor designs, and nested designs.This book provides the important background results required by researchers in block designs and related areas and prepares them for more complex research on the subject.

Author: Douglas Stinson
Publisher: Springer Science & Business Media
ISBN: 0387217371
Category : Mathematics
Languages : en
Pages : 306

View

Book Description
Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.

Author: Dieter Rasch
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3486843664
Category : Business & Economics
Languages : en
Pages : 272

View

Book Description
This volume is the English version of the second edition of the bilingual textbook by Rasch, Verdooren and Gowers (1999). A parallel version in German is available from the same publisher. This book is intended for students and experimental scientists in all disciplines and presumes only elementary statistical knowledge. This prerequisite knowledge is summarised briefly in appendix B. Knowledge of differential and integral calculus is not necessary for the understanding of the text. Matrix notation is explained in Appendix C. As well as the correction of errors, the present edition differs from the first by the introduction of some new sections, such as that on testing the equality of two proportions (Section 3.4.4), and the inclusion of sequential tests. All new material is accompanied by descriptions of the relevant SPSS and CADEMO procedures.

Author: Lakshmi Padgett
Publisher: CRC Press
ISBN: 1439812543
Category : Mathematics
Languages : en
Pages : 304

View

Book Description
Practical Statistical Methods: A SAS Programming Approach presents a broad spectrum of statistical methods useful for researchers without an extensive statistical background. In addition to nonparametric methods, it covers methods for discrete and continuous data. Omitting mathematical details and complicated formulae, the text provides SAS program

Author: P. J. Cameron
Publisher: Cambridge University Press
ISBN: 0521207428
Category : Mathematics
Languages : en
Pages : 125

View

Book Description
These are notes deriving from lecture courses on the theory of t-designs and graph theory given by the authors in 1973 at Westfield College, London.

Author: Kazufumi Ito
Publisher: World Scientific
ISBN: 9814596213
Category : Mathematics
Languages : en
Pages : 330

View

Book Description
Inverse problems arise in practical applications whenever one needs to deduce unknowns from observables. This monograph is a valuable contribution to the highly topical field of computational inverse problems. Both mathematical theory and numerical algorithms for model-based inverse problems are discussed in detail. The mathematical theory focuses on nonsmooth Tikhonov regularization for linear and nonlinear inverse problems. The computational methods include nonsmooth optimization algorithms, direct inversion methods and uncertainty quantification via Bayesian inference.The book offers a comprehensive treatment of modern techniques, and seamlessly blends regularization theory with computational methods, which is essential for developing accurate and efficient inversion algorithms for many practical inverse problems.It demonstrates many current developments in the field of computational inversion, such as value function calculus, augmented Tikhonov regularization, multi-parameter Tikhonov regularization, semismooth Newton method, direct sampling method, uncertainty quantification and approximate Bayesian inference. It is written for graduate students and researchers in mathematics, natural science and engineering.

Author: Jonathan L. Gross
Publisher: CRC Press
ISBN: 1584887443
Category : Computers
Languages : en
Pages : 664

View

Book Description
This combinatorics text provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. It presents the computer and software algorithms in pseudo-code and incorporates definitions, theorems, proofs, examples, and nearly 300 illustrations as pedagogical elements of the exposition. Numerous problems, solutions, and hints reinforce basic skills and assist with creative problem solving. The author also offers a website with extensive graph theory informational resources as well as a computational engine to help with calculations for some of the exercises.

Author: M. K. SHARMA
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120346378
Category : Mathematics
Languages : en
Pages : 131

View

Book Description
Designed primarily as a text for undergraduate and post-graduate students of statistics, the book introduces the readers to the fundamentals of Galois field and finite geometry. It lays emphasis on different aspects of construction of Design and Experiments with Projective geometry and Euclidian geometry. The book deals with the construction of mutually orthogonal latin squares (MOLS) and Hyper Graeco-Latin square and discusses construction of incomplete block design such as balanced incomplete block design (BIBD), partially balanced incomplete block design (PBIBD), including Lattice designs and -Designs based on Galois field. Besides, the book focuses on cofounding in factorial experiments, and it also describes quadratic residue as well as orthogonal arrays through Galois field. A separate chapter on Analysis of block design is included which contains some of the concepts developed recently.

Author: Kai-Uwe Schmidt
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110642093
Category : Mathematics
Languages : en
Pages : 356

View

Book Description
Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.