Comparison Of Statistical Experiments

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Comparison of Statistical Experiments

Author : Erik Torgersen
Publisher : Cambridge University Press
ISBN 13 : 9780521250306
Total Pages : 706 pages
Book Rating : 4.2/5 (53 download)

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Book Synopsis Comparison of Statistical Experiments by : Erik Torgersen

Download or read book Comparison of Statistical Experiments written by Erik Torgersen and published by Cambridge University Press. This book was released on 1991-03-14 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory of Statistical Experiments

Author : H. Heyer
Publisher : Springer Science & Business Media
ISBN 13 : 1461382181
Total Pages : 300 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Theory of Statistical Experiments by : H. Heyer

Download or read book Theory of Statistical Experiments written by H. Heyer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Design of Experiments

Author : R. Mead
Publisher : Cambridge University Press
ISBN 13 : 9780521287623
Total Pages : 640 pages
Book Rating : 4.2/5 (876 download)

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Book Synopsis The Design of Experiments by : R. Mead

Download or read book The Design of Experiments written by R. Mead and published by Cambridge University Press. This book was released on 1990-07-26 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: In all the experimental sciences, good design of experiments is crucial to the success of research. Well-planned experiments can provide a great deal of information efficiently and can be used to test several hypotheses simultaneously. This book is about the statistical principles of good experimental design and is intended for all applied statisticians and practising scientists engaged in the design, implementation and analysis of experiments. Professor Mead has written the book with the emphasis on the logical principles of statistical design and employs a minimum of mathematics. Throughout he assumes that the large-scale analysis of data will be performed by computers and he is thus able to devote more attention to discussions of how all of the available information can be used to extract the clearest answers to many questions. The principles are illustrated with a wide range of examples drawn from medicine, agriculture, industry and other disciplines. Numerous exercises are given to help the reader practise techniques and to appreciate the difference that good design of experiments can make to a scientific project.

Designing Experiments and Analyzing Data

Author : Scott E. Maxwell
Publisher : Psychology Press
ISBN 13 : 0805837183
Total Pages : 1106 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis Designing Experiments and Analyzing Data by : Scott E. Maxwell

Download or read book Designing Experiments and Analyzing Data written by Scott E. Maxwell and published by Psychology Press. This book was released on 2004 with total page 1106 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM contains: "SPSS and SAS data sets fpr ,amu pf tje text exercoses as we;; as titorials reviewing basic statistics and simple and multiple regression."

Statistical Analysis of Designed Experiments

Author : Ajit C. Tamhane
Publisher : John Wiley & Sons
ISBN 13 : 1118491432
Total Pages : 724 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Statistical Analysis of Designed Experiments by : Ajit C. Tamhane

Download or read book Statistical Analysis of Designed Experiments written by Ajit C. Tamhane and published by John Wiley & Sons. This book was released on 2012-09-12 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Understanding Statistics and Experimental Design

Author : Michael H. Herzog
Publisher : Springer
ISBN 13 : 3030034992
Total Pages : 146 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Understanding Statistics and Experimental Design by : Michael H. Herzog

Download or read book Understanding Statistics and Experimental Design written by Michael H. Herzog and published by Springer. This book was released on 2019-08-13 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Design of Comparative Experiments

Author : R. A. Bailey
Publisher : Cambridge University Press
ISBN 13 : 1139469916
Total Pages : 345 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Design of Comparative Experiments by : R. A. Bailey

Download or read book Design of Comparative Experiments written by R. A. Bailey and published by Cambridge University Press. This book was released on 2008-04-17 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Statistical Analysis of Designed Experiments

Author : Helge Toutenburg
Publisher : Springer Science & Business Media
ISBN 13 : 0387227725
Total Pages : 507 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Statistical Analysis of Designed Experiments by : Helge Toutenburg

Download or read book Statistical Analysis of Designed Experiments written by Helge Toutenburg and published by Springer Science & Business Media. This book was released on 2006-05-09 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Statistical Methods

Author : Rudolf J. Freund
Publisher : Elsevier
ISBN 13 : 0080498221
Total Pages : 694 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Statistical Methods by : Rudolf J. Freund

Download or read book Statistical Methods written by Rudolf J. Freund and published by Elsevier. This book was released on 2003-01-07 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: This broad text provides a complete overview of most standard statistical methods, including multiple regression, analysis of variance, experimental design, and sampling techniques. Assuming a background of only two years of high school algebra, this book teaches intelligent data analysis and covers the principles of good data collection. * Provides a complete discussion of analysis of data including estimation, diagnostics, and remedial actions * Examples contain graphical illustration for ease of interpretation * Intended for use with almost any statistical software * Examples are worked to a logical conclusion, including interpretation of results * A complete Instructor's Manual is available to adopters

The Design and Statistical Analysis of Animal Experiments

Author : Simon T. Bate
Publisher : Cambridge University Press
ISBN 13 : 1107030781
Total Pages : 327 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis The Design and Statistical Analysis of Animal Experiments by : Simon T. Bate

Download or read book The Design and Statistical Analysis of Animal Experiments written by Simon T. Bate and published by Cambridge University Press. This book was released on 2014-03-13 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will provide scientists with a better understanding of statistics, improving their decision-making and reducing animal use.

Designing Experiments and Analyzing Data

Author : Scott E. Maxwell
Publisher : Routledge
ISBN 13 : 1317284569
Total Pages : 1056 pages
Book Rating : 4.3/5 (172 download)

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Book Synopsis Designing Experiments and Analyzing Data by : Scott E. Maxwell

Download or read book Designing Experiments and Analyzing Data written by Scott E. Maxwell and published by Routledge. This book was released on 2017-09-11 with total page 1056 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designing Experiments and Analyzing Data: A Model Comparison Perspective (3rd edition) offers an integrative conceptual framework for understanding experimental design and data analysis. Maxwell, Delaney, and Kelley first apply fundamental principles to simple experimental designs followed by an application of the same principles to more complicated designs. Their integrative conceptual framework better prepares readers to understand the logic behind a general strategy of data analysis that is appropriate for a wide variety of designs, which allows for the introduction of more complex topics that are generally omitted from other books. Numerous pedagogical features further facilitate understanding: examples of published research demonstrate the applicability of each chapter’s content; flowcharts assist in choosing the most appropriate procedure; end-of-chapter lists of important formulas highlight key ideas and assist readers in locating the initial presentation of equations; useful programming code and tips are provided throughout the book and in associated resources available online, and extensive sets of exercises help develop a deeper understanding of the subject. Detailed solutions for some of the exercises and realistic data sets are included on the website (DesigningExperiments.com). The pedagogical approach used throughout the book enables readers to gain an overview of experimental design, from conceptualization of the research question to analysis of the data. The book and its companion website with web apps, tutorials, and detailed code are ideal for students and researchers seeking the optimal way to design their studies and analyze the resulting data.

Statistics, Probability, and Game Theory

Author : David Blackwell
Publisher : IMS
ISBN 13 : 9780940600423
Total Pages : 428 pages
Book Rating : 4.6/5 (4 download)

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Book Synopsis Statistics, Probability, and Game Theory by : David Blackwell

Download or read book Statistics, Probability, and Game Theory written by David Blackwell and published by IMS. This book was released on 1996 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the 26 papers are research reports on probability, statistics, gambling, game theory, Markov decision processes, set theory, and logic. But they also include reviews on comparing experiments, games of timing, merging opinions, associated memory models, and SPLIF's; historical views of Carnap, von Mises, and the Berkeley Statistics Department; and a brief history, appreciation, and bibliography of Berkeley professor Blackwell. A sampling of titles turns up The Hamiltonian Cycle Problem and Singularly Perturbed Markov Decision Process, A Pathwise Approach to Dynkin Games, The Redistribution of Velocity: Collision and Transformations, Casino Winnings at Blackjack, and Randomness and the Foundations of Probability. No index. Annotation copyrighted by Book News, Inc., Portland, OR

A First Course in Design and Analysis of Experiments

Author : Gary W. Oehlert
Publisher : W. H. Freeman
ISBN 13 : 9780716735106
Total Pages : 600 pages
Book Rating : 4.7/5 (351 download)

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Book Synopsis A First Course in Design and Analysis of Experiments by : Gary W. Oehlert

Download or read book A First Course in Design and Analysis of Experiments written by Gary W. Oehlert and published by W. H. Freeman. This book was released on 2000-01-19 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oehlert's text is suitable for either a service course for non-statistics graduate students or for statistics majors. Unlike most texts for the one-term grad/upper level course on experimental design, Oehlert's new book offers a superb balance of both analysis and design, presenting three practical themes to students: • when to use various designs • how to analyze the results • how to recognize various design options Also, unlike other older texts, the book is fully oriented toward the use of statistical software in analyzing experiments.

Small Clinical Trials

Author : Institute of Medicine
Publisher : National Academies Press
ISBN 13 : 0309171148
Total Pages : 221 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Small Clinical Trials by : Institute of Medicine

Download or read book Small Clinical Trials written by Institute of Medicine and published by National Academies Press. This book was released on 2001-01-01 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clinical trials are used to elucidate the most appropriate preventive, diagnostic, or treatment options for individuals with a given medical condition. Perhaps the most essential feature of a clinical trial is that it aims to use results based on a limited sample of research participants to see if the intervention is safe and effective or if it is comparable to a comparison treatment. Sample size is a crucial component of any clinical trial. A trial with a small number of research participants is more prone to variability and carries a considerable risk of failing to demonstrate the effectiveness of a given intervention when one really is present. This may occur in phase I (safety and pharmacologic profiles), II (pilot efficacy evaluation), and III (extensive assessment of safety and efficacy) trials. Although phase I and II studies may have smaller sample sizes, they usually have adequate statistical power, which is the committee's definition of a "large" trial. Sometimes a trial with eight participants may have adequate statistical power, statistical power being the probability of rejecting the null hypothesis when the hypothesis is false. Small Clinical Trials assesses the current methodologies and the appropriate situations for the conduct of clinical trials with small sample sizes. This report assesses the published literature on various strategies such as (1) meta-analysis to combine disparate information from several studies including Bayesian techniques as in the confidence profile method and (2) other alternatives such as assessing therapeutic results in a single treated population (e.g., astronauts) by sequentially measuring whether the intervention is falling above or below a preestablished probability outcome range and meeting predesigned specifications as opposed to incremental improvement.

Statistical Inference as Severe Testing

Author : Deborah G. Mayo
Publisher : Cambridge University Press
ISBN 13 : 1108563309
Total Pages : 503 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Statistical Inference as Severe Testing by : Deborah G. Mayo

Download or read book Statistical Inference as Severe Testing written by Deborah G. Mayo and published by Cambridge University Press. This book was released on 2018-09-20 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mounting failures of replication in social and biological sciences give a new urgency to critically appraising proposed reforms. This book pulls back the cover on disagreements between experts charged with restoring integrity to science. It denies two pervasive views of the role of probability in inference: to assign degrees of belief, and to control error rates in a long run. If statistical consumers are unaware of assumptions behind rival evidence reforms, they can't scrutinize the consequences that affect them (in personalized medicine, psychology, etc.). The book sets sail with a simple tool: if little has been done to rule out flaws in inferring a claim, then it has not passed a severe test. Many methods advocated by data experts do not stand up to severe scrutiny and are in tension with successful strategies for blocking or accounting for cherry picking and selective reporting. Through a series of excursions and exhibits, the philosophy and history of inductive inference come alive. Philosophical tools are put to work to solve problems about science and pseudoscience, induction and falsification.

Statistical Principles for the Design of Experiments

Author : R. Mead
Publisher : Cambridge University Press
ISBN 13 : 113957664X
Total Pages : 587 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Statistical Principles for the Design of Experiments by : R. Mead

Download or read book Statistical Principles for the Design of Experiments written by R. Mead and published by Cambridge University Press. This book was released on 2012-09-13 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the statistical principles behind the design of effective experiments and focuses on the practical needs of applied statisticians and experimenters engaged in design, implementation and analysis. Emphasising the logical principles of statistical design, rather than mathematical calculation, the authors demonstrate how all available information can be used to extract the clearest answers to many questions. The principles are illustrated with a wide range of examples drawn from real experiments in medicine, industry, agriculture and many experimental disciplines. Numerous exercises are given to help the reader practise techniques and to appreciate the difference that good design can make to an experimental research project. Based on Roger Mead's excellent Design of Experiments, this new edition is thoroughly revised and updated to include modern methods relevant to applications in industry, engineering and modern biology. It also contains seven new chapters on contemporary topics, including restricted randomisation and fractional replication.

Selected Works of E. L. Lehmann

Author : Javier Rojo
Publisher : Springer Science & Business Media
ISBN 13 : 1461414113
Total Pages : 1103 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Selected Works of E. L. Lehmann by : Javier Rojo

Download or read book Selected Works of E. L. Lehmann written by Javier Rojo and published by Springer Science & Business Media. This book was released on 2012-01-16 with total page 1103 pages. Available in PDF, EPUB and Kindle. Book excerpt: These volumes present a selection of Erich L. Lehmann’s monumental contributions to Statistics. These works are multifaceted. His early work included fundamental contributions to hypothesis testing, theory of point estimation, and more generally to decision theory. His work in Nonparametric Statistics was groundbreaking. His fundamental contributions in this area include results that came to assuage the anxiety of statisticians that were skeptical of nonparametric methodologies, and his work on concepts of dependence has created a large literature. The two volumes are divided into chapters of related works. Invited contributors have critiqued the papers in each chapter, and the reprinted group of papers follows each commentary. A complete bibliography that contains links to recorded talks by Erich Lehmann – and which are freely accessible to the public – and a list of Ph.D. students are also included. These volumes belong in every statistician’s personal collection and are a required holding for any institutional library.