Block Designs: Analysis, Combinatorics And Applications

Block Designs: Analysis, Combinatorics And Applications
Author: Damaraju Raghavarao
Publisher: World Scientific
Total Pages: 224
Release: 2005-10-11
Genre: Mathematics
ISBN: 9814480231

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.

Block Designs

Block Designs
Author: Damaraju Raghavarao
Publisher: World Scientific
Total Pages: 224
Release: 2005
Genre: Mathematics
ISBN: 9812563601

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.

Combinatorial Designs

Combinatorial Designs
Author: Douglas Stinson
Publisher: Springer Science & Business Media
Total Pages: 306
Release: 2007-05-08
Genre: Mathematics
ISBN: 0387217371

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.

The Design and Analysis of Experiments and Surveys

The Design and Analysis of Experiments and Surveys
Author: Dieter Rasch
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 272
Release: 2018-02-05
Genre: Business & Economics
ISBN: 3486843664

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.

Practical Statistical Methods

Practical Statistical Methods
Author: Lakshmi Padgett
Publisher: CRC Press
Total Pages: 304
Release: 2016-04-19
Genre: Mathematics
ISBN: 1439812543

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

Inverse Problems: Tikhonov Theory And Algorithms

Inverse Problems: Tikhonov Theory And Algorithms
Author: Kazufumi Ito
Publisher: World Scientific
Total Pages: 330
Release: 2014-08-28
Genre: Mathematics
ISBN: 9814596213

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.

Partitions

Partitions
Author: Frank Hwang
Publisher: World Scientific
Total Pages: 302
Release: 2013
Genre: Mathematics
ISBN: 981441235X

The need for optimal partition arises from many real-world problems involving the distribution of limited resources to many users. The clustering problem, which has recently received a lot of attention, is a special case of optimal partitioning. This book is the first attempt to collect all theoretical developments of optimal partitions, many of them derived by the authors, in an accessible place for easy reference. Much more than simply collecting the results, the book provides a general framework to unify these results and present them in an organized fashion. Many well-known practical problems of optimal partitions are dealt with. The authors show how they can be solved using the theory OCo or why they cannot be. These problems include: allocation of components to maximize system reliability; experiment design to identify defectives; design of circuit card library and of blood analyzer lines; abstraction of finite state machines and assignment of cache items to pages; the division of property and partition bargaining as well as touching on those well-known research areas such as scheduling, inventory, nearest neighbor assignment, the traveling salesman problem, vehicle routing, and graph partitions. The authors elucidate why the last three problems cannot be solved in the context of the theory.

Partitions: Optimality And Clustering - Volume I: Single-parameter

Partitions: Optimality And Clustering - Volume I: Single-parameter
Author: Frank Kwang-ming Hwang
Publisher: World Scientific
Total Pages: 363
Release: 2011-12-09
Genre: Mathematics
ISBN: 9814390992

The need of optimal partition arises from many real-world problems involving the distribution of limited resources to many users. The “clustering” problem, which has recently received a lot of attention, is a special case of optimal partitioning. This book is the first attempt to collect all theoretical developments of optimal partitions, many of them derived by the authors, in an accessible place for easy reference. Much more than simply collecting the results, the book provides a general framework to unify these results and present them in an organized fashion.Many well-known practical problems of optimal partitions are dealt with. The authors show how they can be solved using the theory — or why they cannot be. These problems include: allocation of components to maximize system reliability; experiment design to identify defectives; design of circuit card library and of blood analyzer lines; abstraction of finite state machines and assignment of cache items to pages; the division of property and partition bargaining as well as touching on those well-known research areas such as scheduling, inventory, nearest neighbor assignment, the traveling salesman problem, vehicle routing, and graph partitions. The authors elucidate why the last three problems cannot be solved in the context of the theory.

Smart Transport Networks

Smart Transport Networks
Author: Thomas Vanoutrive
Publisher: Edward Elgar Publishing
Total Pages: 289
Release: 2013-01-01
Genre: Transportation
ISBN: 1782548335

This very interesting book with peer-reviewed chapters written by leading researchers in the field discusses recent research in the areas of market structure, sustainability and decision-making. It includes several contemporary topics, such as changes in port competition, adaptation of transport to climate change, changing market structures, the importance of changing consumers preferences, errors in forecasting, and trends in international goods transport. Bert van Wee, Delft University of Technology, The Netherlands Transport is debated by many, and liberalization processes, transport policy, transport and climate change and increased competition between transport modes are the subject of heated discussion. Smart Transport Networks illustrates that whether concerning road, water, rail or air, knowledge on the structure of transport markets is crucial in order to tackle transport issues. The book therefore explores key factors concerning the structure of transport markets, their environmental impact, and questions why decision makers often fail to tackle transport-related problems. Three of the key factors that underpin the relationship between transport and society are analysed in detail from a variety of perspectives, each with an empirical focus: market structure and the allocation mechanisms at work; sustainability, encompassing the characteristics of the physical environment, the availability of natural resources and the effects of transport activities; and decision making, detailing transport policy and attempts to change transport systems. Practical guidelines on how to effectively deal with complex transport issues are also presented. This book will prove an important resource read for academics, researchers, and students with an interest in economics particularly transport and public sector economics, geography and regional and urban studies. Policy makers and planners in the fields of transport, environment and regional planning will also find this book to be an invaluable reference tool.

Graph Theory, Coding Theory and Block Designs

Graph Theory, Coding Theory and Block Designs
Author: P. J. Cameron
Publisher: Cambridge University Press
Total Pages: 125
Release: 1975-09-18
Genre: Mathematics
ISBN: 0521207428

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.