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Ordering Block Designs

Ordering Block Designs
Author: Megan Dewar
Publisher: Springer Science & Business Media
Total Pages: 219
Release: 2012-08-30
Genre: Mathematics
ISBN: 1461443253

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The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding theory and statistics. The practice of ordering combinatorial objects can trace its roots to bell ringing which originated in 17th century England, but only emerged as a significant modern research area with the work of F. Gray and N. de Bruijn. These two fascinating areas of mathematics are brought together for the first time in this book. It presents new terminology and concepts which unify existing and recent results from a wide variety of sources. In order to provide a complete introduction and survey, the book begins with background material on combinatorial block designs and combinatorial orderings, including Gray codes -- the most common and well-studied combinatorial ordering concept -- and universal cycles. The central chapter discusses how ordering concepts can be applied to block designs, with definitions from existing (configuration orderings) and new (Gray codes and universal cycles for designs) research. Two chapters are devoted to a survey of results in the field, including illustrative proofs and examples. The book concludes with a discussion of connections to a broad range of applications in computer science, engineering and statistics. This book will appeal to both graduate students and researchers. Each chapter contains worked examples and proofs, complete reference lists, exercises and a list of conjectures and open problems. Practitioners will also find the book appealing for its accessible, self-contained introduction to the mathematics behind the applications.


Ordering Block Designs

Ordering Block Designs
Author: Springer
Publisher:
Total Pages: 220
Release: 2012-08-30
Genre:
ISBN: 9781461443261

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5,500 Quilt Block Designs

5,500 Quilt Block Designs
Author: Maggie Malone
Publisher: Sterling Publishing Company, Inc.
Total Pages: 454
Release: 2005
Genre: Crafts & Hobbies
ISBN: 9781402720475

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A must-have for every quilter: the ultimate pattern resource, with an astounding 5,500 blocks With 5,500 blocks to copy, adapt, and combine in countless ways, no quilter will ever have to run out of patterns anymore. Some designs are classics and taken from museum collections, handed from friend to friend, or kept in a family for many years. Each pattern is drawn on a grid showing the number of squares to the block which makes it easy to mix-and-match, because they all draft to the same size. The dazzling choices include a Premium Star, Double Pyramid, Strips and Squares, Farmer's Puzzle, Sunburst, Beggar's Blocks, and countless more. They're arranged by type--including 4-, 5-, and 9-patch patterns; circles and curves; octagons; diamonds; and 8-point stars--and all indexed alphabetically by name. There's even information on each block's source. As a special bonus Maggie Malone has included a section of Alphabet Patch Patterns to use for personalizing every block. No quilter can do without this book.


Block Designs

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

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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.


Order without Design

Order without Design
Author: Alain Bertaud
Publisher: MIT Press
Total Pages: 433
Release: 2018-12-04
Genre: Political Science
ISBN: 0262038765

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An argument that operational urban planning can be improved by the application of the tools of urban economics to the design of regulations and infrastructure. Urban planning is a craft learned through practice. Planners make rapid decisions that have an immediate impact on the ground—the width of streets, the minimum size of land parcels, the heights of buildings. The language they use to describe their objectives is qualitative—“sustainable,” “livable,” “resilient”—often with no link to measurable outcomes. Urban economics, on the other hand, is a quantitative science, based on theories, models, and empirical evidence largely developed in academic settings. In this book, the eminent urban planner Alain Bertaud argues that applying the theories of urban economics to the practice of urban planning would greatly improve both the productivity of cities and the welfare of urban citizens. Bertaud explains that markets provide the indispensable mechanism for cities' development. He cites the experience of cities without markets for land or labor in pre-reform China and Russia; this “urban planners' dream” created inefficiencies and waste. Drawing on five decades of urban planning experience in forty cities around the world, Bertaud links cities' productivity to the size of their labor markets; argues that the design of infrastructure and markets can complement each other; examines the spatial distribution of land prices and densities; stresses the importance of mobility and affordability; and critiques the land use regulations in a number of cities that aim at redesigning existing cities instead of just trying to alleviate clear negative externalities. Bertaud concludes by describing the new role that joint teams of urban planners and economists could play to improve the way cities are managed.


The Quilt Block Book

The Quilt Block Book
Author: Nancy Wick
Publisher: Creative Publishing International
Total Pages: 195
Release: 2013-10
Genre: Crafts & Hobbies
ISBN: 1589237781

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The Quilt Block Book teaches quick-pieced, foundation-pieced, and appliqué construction methods, with photographs and diagrams for 75 blocks. Links to online patterns allow you to print out patterns for the blocks.


Block Designs: A Randomization Approach

Block Designs: A Randomization Approach
Author: Tadeusz Calinski
Publisher: Springer Science & Business Media
Total Pages: 364
Release: 2012-12-06
Genre: Mathematics
ISBN: 1441992464

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The book is composed of two volumes, each consisting of five chapters. In Vol ume I, following some statistical motivation based on a randomization model, a general theory of the analysis of experiments in block designs has been de veloped. In the present Volume II, the primary aim is to present methods of that satisfy the statistical requirements described in constructing block designs Volume I, particularly those considered in Chapters 3 and 4, and also to give some catalogues of plans of the designs. Thus, the constructional aspects are of predominant interest in Volume II, with a general consideration given in Chapter 6. The main design investigations are systematized by separating the material into two contents, depending on whether the designs provide unit efficiency fac tors for some contrasts of treatment parameters (Chapter 7) or not (Chapter 8). This distinction in classifying block designs may be essential from a prac tical point of view. In general, classification of block designs, whether proper or not, is based here on efficiency balance (EB) in the sense of the new termi nology proposed in Section 4. 4 (see, in particular, Definition 4. 4. 2). Most of the attention is given to connected proper designs because of their statistical advantages as described in Volume I, particularly in Chapter 3. When all con trasts are of equal importance, either the class of (v - 1; 0; O)-EB designs, i. e.


Incomplete Block Designs

Incomplete Block Designs
Author: Aloke Dey
Publisher: World Scientific
Total Pages: 291
Release: 2010
Genre: Mathematics
ISBN: 9814322687

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Presents an account of the theory and applications of incomplete block designs. This title considers various major aspects of incomplete block designs by consolidating material from the literature - the classical incomplete block designs, like the balanced incomplete block (BIB) and partially balanced incomplete block (PBIB) designs.


Incomplete Block Designs

Incomplete Block Designs
Author: Aloke Dey
Publisher: World Scientific
Total Pages: 291
Release: 2010-08-31
Genre: Mathematics
ISBN: 9814464104

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This book presents a systematic, rigorous and comprehensive account of the theory and applications of incomplete block designs. All major aspects of incomplete block designs are considered by consolidating vast amounts of material from the literature including the classical incomplete block designs, like the balanced incomplete block (BIB) and partially balanced incomplete block (PBIB) designs. Other developments like efficiency-balanced designs, nested designs, robust designs, C-designs and alpha designs are also discussed, along with more recent developments in incomplete block designs for special types of experiments, like biological assays, test-control experiments and diallel crosses, which are generally not covered in existing books. Results on the optimality aspects of various incomplete block designs are reviewed in a separate chapter, that also includes recent optimality results for test-control comparisons, parallel-line assays and diallel cross experiments.


Variations on Split Plot and Split Block Experiment Designs

Variations on Split Plot and Split Block Experiment Designs
Author: Walter T. Federer
Publisher: John Wiley & Sons
Total Pages: 286
Release: 2007-04-13
Genre: Mathematics
ISBN: 0470108576

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A complete and up-to-date discussion of optimal split plot and split block designs Variations on Split Plot and Split Block Experiment Designs provides a comprehensive treatment of the design and analysis of two types of trials that are extremely popular in practice and play an integral part in the screening of applied experimental designs--split plot and split block experiments. Illustrated with numerous examples, this book presents a theoretical background and provides two and three error terms, a thorough review of the recent work in the area of split plot and split blocked experiments, and a number of significant results. Written by renowned specialists in the field, this book features: * Discussions of non-standard designs in addition to coverage of split block and split plot designs * Two chapters on combining split plot and split block designs and missing observations, which are unique to this book and to the field of study * SAS? commands spread throughout the book, which allow readers to bypass tedious computation and reveal startling observations * Detailed formulae and thorough remarks at the end of each chapter * Extensive data sets, which are posted on the book's FTP site The design and analysis approach advocated in Variations on Split Plot and Split Block Experiment Designs is essential in creating tailor-made experiments for applied statisticians from industry, medicine, agriculture, chemistry, and other fields of study.