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Design Of Comparative Experiments

Author: R. A. Bailey
Publisher: Cambridge University Press
ISBN: 1139469916
Size: 24.77 MB
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This book should be on the shelf of every practising statistician who designs experiments. Good design considers units and treatments first, and then allocates treatments to units. It does not choose from a menu of named designs. This approach requires a notation for units that does not depend on the treatments applied. Most structure on the set of observational units, or on the set of treatments, can be defined by factors. This book develops a coherent framework for thinking about factors and their relationships, including the use of Hasse diagrams. These are used to elucidate structure, calculate degrees of freedom and allocate treatment subspaces to appropriate strata. Based on a one-term course the author has taught since 1989, the book is ideal for advanced undergraduate and beginning graduate courses. Examples, exercises and discussion questions are drawn from a wide range of real applications: from drug development, to agriculture, to manufacturing.

Handbook Of Design And Analysis Of Experiments

Author: Angela Dean
Publisher: CRC Press
ISBN: 146650434X
Size: 42.22 MB
Format: PDF, Mobi
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Handbook of Design and Analysis of Experiments provides a detailed overview of the tools required for the optimal design of experiments and their analyses. The handbook gives a unified treatment of a wide range of topics, covering the latest developments. This carefully edited collection of 25 chapters in seven sections synthesizes the state of the art in the theory and applications of designed experiments and their analyses. Written by leading researchers in the field, the chapters offer a balanced blend of methodology and applications. The first section presents a historical look at experimental design and the fundamental theory of parameter estimation in linear models. The second section deals with settings such as response surfaces and block designs in which the response is modeled by a linear model, the third section covers designs with multiple factors (both treatment and blocking factors), and the fourth section presents optimal designs for generalized linear models, other nonlinear models, and spatial models. The fifth section addresses issues involved in designing various computer experiments. The sixth section explores "cross-cutting" issues relevant to all experimental designs, including robustness and algorithms. The final section illustrates the application of experimental design in recently developed areas. This comprehensive handbook equips new researchers with a broad understanding of the field’s numerous techniques and applications. The book is also a valuable reference for more experienced research statisticians working in engineering and manufacturing, the basic sciences, and any discipline that depends on controlled experimental investigation.

Topics In Structural Graph Theory

Author: Lowell W. Beineke
Publisher: Cambridge University Press
ISBN: 1107244307
Size: 26.47 MB
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The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide scope. Ortrud R. Oellermann (Winnipeg), internationally recognised for her substantial contributions to structural graph theory, acted as academic consultant for this volume, helping shape its coverage of key topics. The result is a collection of thirteen expository chapters, each written by acknowledged experts. These contributions have been carefully edited to enhance readability and to standardise the chapter structure, terminology and notation throughout. An introductory chapter details the background material in graph theory and network flows and each chapter concludes with an extensive list of references.

Experimental Design

Author: Roger E. Kirk
Publisher: SAGE Publications
ISBN: 1483305511
Size: 41.24 MB
Format: PDF
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Experimental Design: Procedures for Behavioral Sciences, Fourth Edition is a classic text with a reputuation for accessibility and readability. It has been revised and updated to make learning design concepts even easier. Roger E. Kirk shows how three simple experimental designs can be combined to form a variety of complex designs. He provides diagrams illustrating how subjects are assigned to treatments and treatment combinations. New terms are emphasized in boldface type, there are summaries of the advantages and disadvantages of each design, and real-life examples show how the designs are used.

Screening

Author: Angela Dean
Publisher: Springer Science & Business Media
ISBN: 0387280146
Size: 45.62 MB
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The process of discovery in science and technology may require investigation of a large number of features, such as factors, genes or molecules. In Screening, statistically designed experiments and analyses of the resulting data sets are used to identify efficiently the few features that determine key properties of the system under study. This book brings together accounts by leading international experts that are essential reading for those working in fields such as industrial quality improvement, engineering research and development, genetic and medical screening, drug discovery, and computer simulation of manufacturing systems or economic models. Our aim is to promote cross-fertilization of ideas and methods through detailed explanations, a variety of examples and extensive references. Topics cover both physical and computer simulated experiments. They include screening methods for detecting factors that affect the value of a response or its variability, and for choosing between various different response models. Screening for disease in blood samples, for genes linked to a disease and for new compounds in the search for effective drugs are also described. Statistical techniques include Bayesian and frequentist methods of data analysis, algorithmic methods for both the design and analysis of experiments, and the construction of fractional factorial designs and orthogonal arrays. The material is accessible to graduate and research statisticians, and to engineers and chemists with a working knowledge of statistical ideas and techniques. It will be of interest to practitioners and researchers who wish to learn about useful methodologies from within their own area as well as methodologies that can be translated from one area to another.

The Empire Of Chance

Author: Gerd Gigerenzer
Publisher: Cambridge University Press
ISBN: 9780521398381
Size: 56.94 MB
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This book tells how quantitative ideas of chance have transformed the natural and social sciences as well as everyday life over the past three centuries. A continuous narrative connects the earliest application of probability and statistics in gambling and insurance to the most recent forays into law, medicine, polling, and baseball. Separate chapters explore the theoretical and methodological impact on biology, physics, and psychology. In contrast to the literature on the mathematical development of probability and statistics, this book centers on how these technical innovations recreated our conceptions of nature, mind, and society.

Statistical Methods

Author: David Saville
Publisher: Springer Science & Business Media
ISBN: 9780387947051
Size: 68.85 MB
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"The purpose of this primer is to impart a real understanding of the most commonly used statistical methods in the simplest possible manner. To this end, four examples involving normally distributed data are analyzed using a novel geometric approach. These examples explain the mathematics underlying paired and independent sample t tests, analysis of variance and regression. In essence, the approach reduces statistical analysis froma a high-dimensional problem involving matrices to a two-dimensional problem involving only vectors. The approach makes it possible to learn statistics by drawing pictures on a piece of paper."--p. vii.