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Statistics for Experimenters

Statistics for Experimenters
Author: George E. P. Box
Publisher: Wiley-Interscience
Total Pages: 680
Release: 2005-05-31
Genre: Mathematics
ISBN:

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Focuses on applications in the physical, engineering, biological, and social sciences. From the beginning, the book's source of ideas is the scientific method itself and the need of the investigator to make his or her research as effective as possible through proper choice and conduct of experiments and appropriate analysis of data


Theory of Statistical Experiments

Theory of Statistical Experiments
Author: H. Heyer
Publisher: Springer Science & Business Media
Total Pages: 300
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461382181

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By a statistical experiment we mean the procedure of drawing a sample with the intention of making a decision. The sample values are to be regarded as the values of a random variable defined on some meas urable space, and the decisions made are to be functions of this random variable. Although the roots of this notion of statistical experiment extend back nearly two hundred years, the formal treatment, which involves a description of the possible decision procedures and a conscious attempt to control errors, is of much more recent origin. Building upon the work of R. A. Fisher, J. Neyman and E. S. Pearson formalized many deci sion problems associated with the testing of hypotheses. Later A. Wald gave the first completely general formulation of the problem of statisti cal experimentation and the associated decision theory. These achieve ments rested upon the fortunate fact that the foundations of probability had by then been laid bare, for it appears to be necessary that any such quantitative theory of statistics be based upon probability theory. The present state of this theory has benefited greatly from contri butions by D. Blackwell and L. LeCam whose fundamental articles expanded the mathematical theory of statistical experiments into the field of com parison of experiments. This will be the main motivation for the ap proach to the subject taken in this book.


Statistical Design of Experiments with Engineering Applications

Statistical Design of Experiments with Engineering Applications
Author: Kamel Rekab
Publisher: CRC Press
Total Pages: 253
Release: 2005-04-08
Genre: Business & Economics
ISBN: 142005631X

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In today's high-technology world, with flourishing e-business and intense competition at a global level, the search for the competitive advantage has become a crucial task of corporate executives. Quality, formerly considered a secondary expense, is now universally recognized as a necessary tool. Although many statistical methods are available for


Statistical Analysis of Designed Experiments

Statistical Analysis of Designed Experiments
Author: Helge Toutenburg
Publisher: Springer Science & Business Media
Total Pages: 507
Release: 2006-05-09
Genre: Mathematics
ISBN: 0387227725

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Unique in commencing with relatively simple statistical concepts and ideas found in most introductory statistical textbooks, this book goes on to cover more material useful for undergraduates and graduate in statistics and biostatistics.


Understanding Statistics and Experimental Design

Understanding Statistics and Experimental Design
Author: Michael H. Herzog
Publisher: Springer
Total Pages: 146
Release: 2019-08-13
Genre: Science
ISBN: 3030034992

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This open access textbook provides the background needed to correctly use, interpret and understand statistics and statistical data in diverse settings. Part I makes key concepts in statistics readily clear. Parts I and II give an overview of the most common tests (t-test, ANOVA, correlations) and work out their statistical principles. Part III provides insight into meta-statistics (statistics of statistics) and demonstrates why experiments often do not replicate. Finally, the textbook shows how complex statistics can be avoided by using clever experimental design. Both non-scientists and students in Biology, Biomedicine and Engineering will benefit from the book by learning the statistical basis of scientific claims and by discovering ways to evaluate the quality of scientific reports in academic journals and news outlets.


Statistics for Experimenters

Statistics for Experimenters
Author: George E. P. Box
Publisher: Wiley-Interscience
Total Pages: 680
Release: 1978-07-06
Genre: History
ISBN:

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Introduces the philosophy of experimentation and the part that statistics plays in experimentation. Emphasizes the need to develop a capability for statistical thinking by using examples drawn from actual case studies.


Statistical Analysis of Designed Experiments

Statistical Analysis of Designed Experiments
Author: Ajit C. Tamhane
Publisher: John Wiley & Sons
Total Pages: 724
Release: 2012-09-12
Genre: Science
ISBN: 1118491432

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A indispensable guide to understanding and designing modern experiments The tools and techniques of Design of Experiments (DOE) allow researchers to successfully collect, analyze, and interpret data across a wide array of disciplines. Statistical Analysis of Designed Experiments provides a modern and balanced treatment of DOE methodology with thorough coverage of the underlying theory and standard designs of experiments, guiding the reader through applications to research in various fields such as engineering, medicine, business, and the social sciences. The book supplies a foundation for the subject, beginning with basic concepts of DOE and a review of elementary normal theory statistical methods. Subsequent chapters present a uniform, model-based approach to DOE. Each design is presented in a comprehensive format and is accompanied by a motivating example, discussion of the applicability of the design, and a model for its analysis using statistical methods such as graphical plots, analysis of variance (ANOVA), confidence intervals, and hypothesis tests. Numerous theoretical and applied exercises are provided in each chapter, and answers to selected exercises are included at the end of the book. An appendix features three case studies that illustrate the challenges often encountered in real-world experiments, such as randomization, unbalanced data, and outliers. Minitab® software is used to perform analyses throughout the book, and an accompanying FTP site houses additional exercises and data sets. With its breadth of real-world examples and accessible treatment of both theory and applications, Statistical Analysis of Designed Experiments is a valuable book for experimental design courses at the upper-undergraduate and graduate levels. It is also an indispensable reference for practicing statisticians, engineers, and scientists who would like to further their knowledge of DOE.


Handbook of Design and Analysis of Experiments

Handbook of Design and Analysis of Experiments
Author: Angela Dean
Publisher: CRC Press
Total Pages: 946
Release: 2015-06-26
Genre: Mathematics
ISBN: 146650434X

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This carefully edited collection synthesizes the state of the art in the theory and applications of designed experiments and their analyses. It provides a detailed overview of the tools required for the optimal design of experiments and their analyses. The handbook covers many recent advances in the field, including designs for nonlinear models and algorithms applicable to a wide variety of design problems. It also explores the extensive use of experimental designs in marketing, the pharmaceutical industry, engineering and other areas.


Comparison of Statistical Experiments

Comparison of Statistical Experiments
Author: Erik Torgersen
Publisher: Cambridge University Press
Total Pages: 706
Release: 1991-03-14
Genre: Business & Economics
ISBN: 9780521250306

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There are a number of important questions associated with statistical experiments: when does one given experiment yield more information than another; how can we measure the difference in information; how fast does information accumulate by repeating the experiment? The means of answering such questions has emerged from the work of Wald, Blackwell, LeCam and others and is based on the ideas of risk and deficiency. The present work which is devoted to the various methods of comparing statistical experiments, is essentially self-contained, requiring only some background in measure theory and functional analysis. Chapters introducing statistical experiments and the necessary convex analysis begin the book and are followed by others on game theory, decision theory and vector lattices. The notion of deficiency, which measures the difference in information between two experiments, is then introduced. The relation between it and other concepts, such as sufficiency, randomisation, distance, ordering, equivalence, completeness and convergence are explored. This is a comprehensive treatment of the subject and will be an essential reference for mathematical statisticians.


Practical Data Analysis for Designed Experiments

Practical Data Analysis for Designed Experiments
Author: Brian S. Yandell
Publisher: Routledge
Total Pages: 452
Release: 2017-11-22
Genre: Mathematics
ISBN: 1351422995

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Placing data in the context of the scientific discovery of knowledge through experimentation, Practical Data Analysis for Designed Experiments examines issues of comparing groups and sorting out factor effects and the consequences of imbalance and nesting, then works through more practical applications of the theory. Written in a modern and accessible manner, this book is a useful blend of theory and methods. Exercises included in the text are based on real experiments and real data.