A History Of Mathematical Statistics From 1750 To 1930

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A History of Mathematical Statistics from 1750 to 1930

Author : Anders Hald
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 832 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A History of Mathematical Statistics from 1750 to 1930 by : Anders Hald

Download or read book A History of Mathematical Statistics from 1750 to 1930 written by Anders Hald and published by Wiley-Interscience. This book was released on 1998-04-22 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: The long-awaited second volume of Anders Hald's history of the development of mathematical statistics. Anders Hald's A History of Probability and Statistics and Their Applications before 1750 is already considered a classic by many mathematicians and historians. This new volume picks up where its predecessor left off, describing the contemporaneous development and interaction of four topics: direct probability theory and sampling distributions; inverse probability by Bayes and Laplace; the method of least squares and the central limit theorem; and selected topics in estimation theory after 1830. In this rich and detailed work, Hald carefully traces the history of parametric statistical inference, the development of the corresponding mathematical methods, and some typical applications. Not surprisingly, the ideas, concepts, methods, and results of Laplace, Gauss, and Fisher dominate his account. In particular, Hald analyzes the work and interactions of Laplace and Gauss and describes their contributions to modern theory. Hald also offers a great deal of new material on the history of the period and enhances our understanding of both the controversies and continuities that developed between the different schools. To enable readers to compare the contributions of various historical figures, Professor Hald has rewritten the original papers in a uniform modern terminology and notation, while leaving the ideas unchanged. Statisticians, probabilists, actuaries, mathematicians, historians of science, and advanced students will find absorbing reading in the author's insightful description of important problems and how they gradually moved toward solution.

Annotated Readings in the History of Statistics

Author : H.A. David
Publisher : Springer Science & Business Media
ISBN 13 : 9780387988443
Total Pages : 280 pages
Book Rating : 4.9/5 (884 download)

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Book Synopsis Annotated Readings in the History of Statistics by : H.A. David

Download or read book Annotated Readings in the History of Statistics written by H.A. David and published by Springer Science & Business Media. This book was released on 2001-04-06 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a selection of pioneering papers or extracts ranging from Pascal (1654) to R.A. Fisher (1930). The editors'annotations put the articles in perspective for the modern reader. A special feature of the book is the large number of translations, nearly all made by the authors. There are several reasons for studying the history of statistics: intrinsic interest in how the field of statistics developed, learning from often brilliant ideas and not reinventing the wheel, and livening up general courses in statistics by reference to important contributors.

A History of Probability and Statistics and Their Applications before 1750

Author : Anders Hald
Publisher : John Wiley & Sons
ISBN 13 : 047172517X
Total Pages : 611 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis A History of Probability and Statistics and Their Applications before 1750 by : Anders Hald

Download or read book A History of Probability and Statistics and Their Applications before 1750 written by Anders Hald and published by John Wiley & Sons. This book was released on 2005-02-25 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of History of Probability and Statistics and Their Applications before 1750 "This is a marvelous book . . . Anyone with the slightest interest in the history of statistics, or in understanding how modern ideas have developed, will find this an invaluable resource." –Short Book Reviews of ISI

A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935

Author : Anders Hald
Publisher : Springer Science & Business Media
ISBN 13 : 0387464093
Total Pages : 221 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 by : Anders Hald

Download or read book A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 written by Anders Hald and published by Springer Science & Business Media. This book was released on 2008-08-24 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a detailed history of parametric statistical inference. Covering the period between James Bernoulli and R.A. Fisher, it examines: binomial statistical inference; statistical inference by inverse probability; the central limit theorem and linear minimum variance estimation by Laplace and Gauss; error theory, skew distributions, correlation, sampling distributions; and the Fisherian Revolution. Lively biographical sketches of many of the main characters are featured throughout, including Laplace, Gauss, Edgeworth, Fisher, and Karl Pearson. Also examined are the roles played by DeMoivre, James Bernoulli, and Lagrange.

Classic Topics on the History of Modern Mathematical Statistics

Author : Prakash Gorroochurn
Publisher : John Wiley & Sons
ISBN 13 : 1119127939
Total Pages : 776 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Classic Topics on the History of Modern Mathematical Statistics by : Prakash Gorroochurn

Download or read book Classic Topics on the History of Modern Mathematical Statistics written by Prakash Gorroochurn and published by John Wiley & Sons. This book was released on 2016-03-29 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: "There is nothing like it on the market...no others are as encyclopedic...the writing is exemplary: simple, direct, and competent." —George W. Cobb, Professor Emeritus of Mathematics and Statistics, Mount Holyoke College Written in a direct and clear manner, Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times presents a comprehensive guide to the history of mathematical statistics and details the major results and crucial developments over a 200-year period. Presented in chronological order, the book features an account of the classical and modern works that are essential to understanding the applications of mathematical statistics. Divided into three parts, the book begins with extensive coverage of the probabilistic works of Laplace, who laid much of the foundations of later developments in statistical theory. Subsequently, the second part introduces 20th century statistical developments including work from Karl Pearson, Student, Fisher, and Neyman. Lastly, the author addresses post-Fisherian developments. Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times also features: A detailed account of Galton's discovery of regression and correlation as well as the subsequent development of Karl Pearson's X2 and Student's t A comprehensive treatment of the permeating influence of Fisher in all aspects of modern statistics beginning with his work in 1912 Significant coverage of Neyman–Pearson theory, which includes a discussion of the differences to Fisher’s works Discussions on key historical developments as well as the various disagreements, contrasting information, and alternative theories in the history of modern mathematical statistics in an effort to provide a thorough historical treatment Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times is an excellent reference for academicians with a mathematical background who are teaching or studying the history or philosophical controversies of mathematics and statistics. The book is also a useful guide for readers with a general interest in statistical inference.

Fitting Linear Relationships

Author : R.W. Farebrother
Publisher : Springer Science & Business Media
ISBN 13 : 0387985980
Total Pages : 291 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Fitting Linear Relationships by : R.W. Farebrother

Download or read book Fitting Linear Relationships written by R.W. Farebrother and published by Springer Science & Business Media. This book was released on 1999 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the development of statistics, which for more than a century was called "the calculus of observations." The approach will help readers gain a clearer understanding of the historical development as well as the essential nature of some of the commonly used statistical estimation procedures. Detailed descriptions of the fitting of linear relationships by the method of least squares and the closely related least absolute deviations and minimax absolute deviations procedures are presented, along with some of the important work by Laplace, Gauss, and Adrain.

Fundamentals of Mathematical Statistics

Author : Steffen Lauritzen
Publisher : CRC Press
ISBN 13 : 1000831965
Total Pages : 259 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Fundamentals of Mathematical Statistics by : Steffen Lauritzen

Download or read book Fundamentals of Mathematical Statistics written by Steffen Lauritzen and published by CRC Press. This book was released on 2023-04-17 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Mathematical Statistics is meant for a standard one-semester advanced undergraduate or graduate-level course in Mathematical Statistics. It covers all the key topics—statistical models, linear normal models, exponential families, estimation, asymptotics of maximum likelihood, significance testing, and models for tables of counts. It assumes a good background in mathematical analysis, linear algebra, and probability but includes an appendix with basic results from these areas. Throughout the text, there are numerous examples and graduated exercises that illustrate the topics covered, rendering the book suitable for teaching or self-study. Features A concise yet rigorous introduction to a one-semester course in Mathematical Statistics Covers all the key topics Assumes a solid background in Mathematics and Probability Numerous examples illustrate the topics Many exercises enhance understanding of the material and enable course use This textbook will be a perfect fit for an advanced course in Mathematical Statistics or Statistical Theory. The concise and lucid approach means it could also serve as a good alternative, or supplement, to existing texts.

Annotated Readings in the History of Statistics

Author : H.A. David
Publisher : Springer Science & Business Media
ISBN 13 : 1475735006
Total Pages : 252 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Annotated Readings in the History of Statistics by : H.A. David

Download or read book Annotated Readings in the History of Statistics written by H.A. David and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a selection of pioneering papers or extracts ranging from Pascal (1654) to R.A. Fisher (1930). The editors'annotations put the articles in perspective for the modern reader. A special feature of the book is the large number of translations, nearly all made by the authors. There are several reasons for studying the history of statistics: intrinsic interest in how the field of statistics developed, learning from often brilliant ideas and not reinventing the wheel, and livening up general courses in statistics by reference to important contributors.

Mathematics Old and New

Author : Saul Stahl
Publisher : Courier Dover Publications
ISBN 13 : 048680738X
Total Pages : 401 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Mathematics Old and New by : Saul Stahl

Download or read book Mathematics Old and New written by Saul Stahl and published by Courier Dover Publications. This book was released on 2017-08-15 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory treatment for undergraduates provides insightful expositions of specific applications of mathematics and elements of mathematical history and culture. Topics include probability, statistics, voting systems game theory, geometry, Egyptian arithmetic, and more. 2016 edition.

Historical Modules for the Teaching and Learning of Mathematics

Author : Victor J. Katz
Publisher : American Mathematical Soc.
ISBN 13 : 1470457113
Total Pages : pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Historical Modules for the Teaching and Learning of Mathematics by : Victor J. Katz

Download or read book Historical Modules for the Teaching and Learning of Mathematics written by Victor J. Katz and published by American Mathematical Soc.. This book was released on 2020-03-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Approximation Theorems of Mathematical Statistics

Author : Robert J. Serfling
Publisher : John Wiley & Sons
ISBN 13 : 0470317191
Total Pages : 392 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Approximation Theorems of Mathematical Statistics by : Robert J. Serfling

Download or read book Approximation Theorems of Mathematical Statistics written by Robert J. Serfling and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation Theorems of Mathematical Statistics This convenient paperback edition makes a seminal text in statistics accessible to a new generation of students and practitioners. Approximation Theorems of Mathematical Statistics covers a broad range of limit theorems useful in mathematical statistics, along with methods of proof and techniques of application. The manipulation of "probability" theorems to obtain "statistical" theorems is emphasized. Besides a knowledge of these basic statistical theorems, this lucid introduction to the subject imparts an appreciation of the instrumental role of probability theory. The book makes accessible to students and practicing professionals in statistics, general mathematics, operations research, and engineering the essentials of: * The tools and foundations that are basic to asymptotic theory in statistics * The asymptotics of statistics computed from a sample, including transformations of vectors of more basic statistics, with emphasis on asymptotic distribution theory and strong convergence * Important special classes of statistics, such as maximum likelihood estimates and other asymptotic efficient procedures; W. Hoeffding's U-statistics and R. von Mises's "differentiable statistical functions" * Statistics obtained as solutions of equations ("M-estimates"), linear functions of order statistics ("L-statistics"), and rank statistics ("R-statistics") * Use of influence curves * Approaches toward asymptotic relative efficiency of statistical test procedures

Advanced Calculus with Applications in Statistics

Author : André I. Khuri
Publisher : John Wiley & Sons
ISBN 13 : 0471461628
Total Pages : 704 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Advanced Calculus with Applications in Statistics by : André I. Khuri

Download or read book Advanced Calculus with Applications in Statistics written by André I. Khuri and published by John Wiley & Sons. This book was released on 2003-04-14 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to help motivate the learning of advanced calculus by demonstrating its relevance in the field of statistics, this successful text features detailed coverage of optimization techniques and their applications in statistics while introducing the reader to approximation theory. The Second Edition provides substantial new coverage of the material, including three new chapters and a large appendix that contains solutions to almost all of the exercises in the book. Applications of some of these methods in statistics are discusses.

Statistical Control by Monitoring and Adjustment

Author : George E. P. Box
Publisher : John Wiley & Sons
ISBN 13 : 1118164466
Total Pages : 360 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Statistical Control by Monitoring and Adjustment by : George E. P. Box

Download or read book Statistical Control by Monitoring and Adjustment written by George E. P. Box and published by John Wiley & Sons. This book was released on 2011-09-09 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition "This book . . . is a significant addition to the literature onstatistical practice . . . should be of considerable interest tothose interested in these topics."—International Journal ofForecasting Recent research has shown that monitoring techniques alone areinadequate for modern Statistical Process Control (SPC), and thereexists a need for these techniques to be augmented by methods thatindicate when occasional process adjustment is necessary.Statistical Control by Monitoring and Adjustment, Second Editionpresents the relationship among these concepts and elementary ideasfrom Engineering Process Control (EPC), demonstrating how thepowerful synergistic association between SPC and EPC can solvenumerous problems that are frequently encountered in processmonitoring and adjustment. The book begins with a discussion of SPC as it was originallyconceived by Dr. Walter A. Shewhart and Dr. W. Edwards Deming.Subsequent chapters outline the basics of the new integration ofSPC and EPC, which is not available in other related books.Thorough coverage of time series analysis for forecasting, processdynamics, and non-stationary models is also provided, and thesesections have been carefully written so as to require only anelementary understanding of mathematics. Extensive graphicalexplanations and computational tables accompany the numerousexamples that are provided throughout each chapter, and a helpfulselection of problems and solutions further facilitatesunderstanding. Statistical Control by Monitoring and Adjustment, Second Editionis an excellent book for courses on applied statistics andindustrial engineering at the upper-undergraduate and graduatelevels. It also serves as a valuable reference for statisticiansand quality control practitioners working in industry.

Statistical Rules of Thumb

Author : Gerald van Belle
Publisher : John Wiley & Sons
ISBN 13 : 1118210360
Total Pages : 286 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Statistical Rules of Thumb by : Gerald van Belle

Download or read book Statistical Rules of Thumb written by Gerald van Belle and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition: "For a beginner [this book] is a treasure trove; for an experienced person it can provide new ideas on how better to pursue the subject of applied statistics." —Journal of Quality Technology Sensibly organized for quick reference, Statistical Rules of Thumb, Second Edition compiles simple rules that are widely applicable, robust, and elegant, and each captures key statistical concepts. This unique guide to the use of statistics for designing, conducting, and analyzing research studies illustrates real-world statistical applications through examples from fields such as public health and environmental studies. Along with an insightful discussion of the reasoning behind every technique, this easy-to-use handbook also conveys the various possibilities statisticians must think of when designing and conducting a study or analyzing its data. Each chapter presents clearly defined rules related to inference, covariation, experimental design, consultation, and data representation, and each rule is organized and discussed under five succinct headings: introduction; statement and illustration of the rule; the derivation of the rule; a concluding discussion; and exploration of the concept's extensions. The author also introduces new rules of thumb for topics such as sample size for ratio analysis, absolute and relative risk, ANCOVA cautions, and dichotomization of continuous variables. Additional features of the Second Edition include: Additional rules on Bayesian topics New chapters on observational studies and Evidence-Based Medicine (EBM) Additional emphasis on variation and causation Updated material with new references, examples, and sources A related Web site provides a rich learning environment and contains additional rules, presentations by the author, and a message board where readers can share their own strategies and discoveries. Statistical Rules of Thumb, Second Edition is an ideal supplementary book for courses in experimental design and survey research methods at the upper-undergraduate and graduate levels. It also serves as an indispensable reference for statisticians, researchers, consultants, and scientists who would like to develop an understanding of the statistical foundations of their research efforts. A related website www.vanbelle.org provides additional rules, author presentations and more.

Statistical Methods for Quality Improvement

Author : Thomas P. Ryan
Publisher : John Wiley & Sons
ISBN 13 : 1118058100
Total Pages : 578 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Statistical Methods for Quality Improvement by : Thomas P. Ryan

Download or read book Statistical Methods for Quality Improvement written by Thomas P. Ryan and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition "As a comprehensive statistics reference book for quality improvement, it certainly is one of the best books available." —Technometrics This new edition continues to provide the most current, proven statistical methods for quality control and quality improvement The use of quantitative methods offers numerous benefits in the fields of industry and business, both through identifying existing trouble spots and alerting management and technical personnel to potential problems. Statistical Methods for Quality Improvement, Third Edition guides readers through a broad range of tools and techniques that make it possible to quickly identify and resolve both current and potential trouble spots within almost any manufacturing or nonmanufacturing process. The book provides detailed coverage of the application of control charts, while also exploring critical topics such as regression, design of experiments, and Taguchi methods. In this new edition, the author continues to explain how to combine the many statistical methods explored in the book in order to optimize quality control and improvement. The book has been thoroughly revised and updated to reflect the latest research and practices in statistical methods and quality control, and new features include: Updated coverage of control charts, with newly added tools The latest research on the monitoring of linear profiles and other types of profiles Sections on generalized likelihood ratio charts and the effects of parameter estimation on the properties of CUSUM and EWMA procedures New discussions on design of experiments that include conditional effects and fraction of design space plots New material on Lean Six Sigma and Six Sigma programs and training Incorporating the latest software applications, the author has added coverage on how to use Minitab software to obtain probability limits for attribute charts. new exercises have been added throughout the book, allowing readers to put the latest statistical methods into practice. Updated references are also provided, shedding light on the current literature and providing resources for further study of the topic. Statistical Methods for Quality Improvement, Third Edition is an excellent book for courses on quality control and design of experiments at the upper-undergraduate and graduate levels. the book also serves as a valuable reference for practicing statisticians, engineers, and physical scientists interested in statistical quality improvement.

Modes of Parametric Statistical Inference

Author : Seymour Geisser
Publisher : John Wiley & Sons
ISBN 13 : 0471743127
Total Pages : 218 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Modes of Parametric Statistical Inference by : Seymour Geisser

Download or read book Modes of Parametric Statistical Inference written by Seymour Geisser and published by John Wiley & Sons. This book was released on 2006-01-27 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating investigation into the foundations of statistical inference This publication examines the distinct philosophical foundations of different statistical modes of parametric inference. Unlike many other texts that focus on methodology and applications, this book focuses on a rather unique combination of theoretical and foundational aspects that underlie the field of statistical inference. Readers gain a deeper understanding of the evolution and underlying logic of each mode as well as each mode's strengths and weaknesses. The book begins with fascinating highlights from the history of statistical inference. Readers are given historical examples of statistical reasoning used to address practical problems that arose throughout the centuries. Next, the book goes on to scrutinize four major modes of statistical inference: * Frequentist * Likelihood * Fiducial * Bayesian The author provides readers with specific examples and counterexamples of situations and datasets where the modes yield both similar and dissimilar results, including a violation of the likelihood principle in which Bayesian and likelihood methods differ from frequentist methods. Each example is followed by a detailed discussion of why the results may have varied from one mode to another, helping the reader to gain a greater understanding of each mode and how it works. Moreover, the author provides considerable mathematical detail on certain points to highlight key aspects of theoretical development. The author's writing style and use of examples make the text clear and engaging. This book is fundamental reading for graduate-level students in statistics as well as anyone with an interest in the foundations of statistics and the principles underlying statistical inference, including students in mathematics and the philosophy of science. Readers with a background in theoretical statistics will find the text both accessible and absorbing.

Planning, Construction, and Statistical Analysis of Comparative Experiments

Author : Francis G. Giesbrecht
Publisher : John Wiley & Sons
ISBN 13 : 047147648X
Total Pages : 693 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Planning, Construction, and Statistical Analysis of Comparative Experiments by : Francis G. Giesbrecht

Download or read book Planning, Construction, and Statistical Analysis of Comparative Experiments written by Francis G. Giesbrecht and published by John Wiley & Sons. This book was released on 2011-09-26 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: A valuable guide to conducting experiments and analyzing dataacross a wide range of applications Experimental design is an important component of the scientificmethod. This book provides guidance on planning efficientinvestigations. It compiles designs for a wide range ofexperimental situations not previously found in accessible form.Focusing on applications in the physical, engineering, biological,and social sciences, Planning, Construction, and StatisticalAnalysis of Comparative Experiments is a valuable guide todesigning experiments and correctly analyzing and interpreting theresults. The authors draw on their years of experience in theclassroom and as statistical consultants to research programs oncampus, in government, and in industry. The object is always tostrike the right balance between mathematical necessities andpractical constraints. Serving both as a textbook for students of intermediatestatistics and a hands-on reference for active researchers, thetext includes: A wide range of applications, including agricultural sciences,animal and biomedical sciences, and industrial engineeringstudies General formulas for estimation and hypothesis testing,presented in a unified and simplified manner Guidelines for evaluating the power and efficiency of designsthat are not perfectly balanced New developments in the design of fractional factorials withnon-prime numbers of levels in mixed-level fractionalfactorials Detailed coverage on the construction of plans and therelationship among categories of designs Thorough coverage of balanced, lattice, cyclic, and alphadesigns Strategies for sequences of fractional factorials Data sets and SAS® code on a companion web site An ideal handbook for the investigator planning a researchprogram, the text comes complete with detailed plans of experimentsand alternative approaches for added flexibility.