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Author: R. A. Fisher
Publisher: OUP Oxford
ISBN: 9780198522294
Category : Mathematics
Languages : en
Pages : 832
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Book Description
The writings of R.A. Fisher have proved to be as relevant today as when they were written. This book brings together as a single volume three of his most influential textbooks: Statistical Methods for Research Workers, Statistical Methods and Scientific Inference, and The Design of Experiments. In a new Foreword, written for this edition, Professor Frank Yates discusses some of the key issues tackled in the textbooks, and how they relate to modern statistical practice.
Author: R. A. Fisher
Publisher: OUP Oxford
ISBN: 9780198522294
Category : Mathematics
Languages : en
Pages : 832
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Book Description
The writings of R.A. Fisher have proved to be as relevant today as when they were written. This book brings together as a single volume three of his most influential textbooks: Statistical Methods for Research Workers, Statistical Methods and Scientific Inference, and The Design of Experiments. In a new Foreword, written for this edition, Professor Frank Yates discusses some of the key issues tackled in the textbooks, and how they relate to modern statistical practice.
Author: Sir Ronald Aylmer Fisher
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 196
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Book Description
Author: Anthony Atkinson
Publisher: OUP Oxford
ISBN: 0191537942
Category : Mathematics
Languages : en
Pages : 528
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Book Description
Experiments on patients, processes or plants all have random error, making statistical methods essential for their efficient design and analysis. This book presents the theory and methods of optimum experimental design, making them available through the use of SAS programs. Little previous statistical knowledge is assumed. The first part of the book stresses the importance of models in the analysis of data and introduces least squares fitting and simple optimum experimental designs. The second part presents a more detailed discussion of the general theory and of a wide variety of experiments. The book stresses the use of SAS to provide hands-on solutions for the construction of designs in both standard and non-standard situations. The mathematical theory of the designs is developed in parallel with their construction in SAS, so providing motivation for the development of the subject. Many chapters cover self-contained topics drawn from science, engineering and pharmaceutical investigations, such as response surface designs, blocking of experiments, designs for mixture experiments and for nonlinear and generalized linear models. Understanding is aided by the provision of "SAS tasks" after most chapters as well as by more traditional exercises and a fully supported website. The authors are leading experts in key fields and this book is ideal for statisticians and scientists in academia, research and the process and pharmaceutical industries.
Author: Sir Ronald Aylmer Fisher
Publisher:
ISBN:
Category : Statistics
Languages : en
Pages : 248
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Book Description
Author: Steve Miller
Publisher: Routledge
ISBN: 1134954638
Category : Psychology
Languages : en
Pages : 158
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Book Description
The distinguishing feature of experimental psychology is not so much the nature of its theories as the methods used to test their validity. The first edition of Experimental Design and Statistics provided a clear and lucid introduction to these methods and the statistical techniques which support them. For this new edition the text has been revised, the coverage of two-sample tests has been extended, and new sections have been added introducing one-sample tests, linear regression and the product-moment correlation coefficient. Problems associated with the applications of experimental design and how to use observations of behaviour in research are key questions for all introductory students of psychology. This new and expanded edition provides them with an invaluable text and source.
Author: Michael H. Herzog
Publisher: Springer
ISBN: 3030034992
Category : Science
Languages : en
Pages : 146
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Book Description
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.
Author: Rory Allen
Publisher: World Scientific Publishing Company
ISBN: 1786340674
Category : Psychology
Languages : en
Pages : 472
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Book Description
This is the first textbook for psychologists which combines the model comparison method in statistics with a hands-on guide to computer-based analysis and clear explanations of the links between models, hypotheses and experimental designs. Statistics is often seen as a set of cookbook recipes which must be learned by heart. Model comparison, by contrast, provides a mental roadmap that not only gives a deeper level of understanding, but can be used as a general procedure to tackle those problems which can be solved using orthodox statistical methods. Statistics and Experimental Design for Psychologists focusses on the role of Occam's principle, and explains significance testing as a means by which the null and experimental hypotheses are compared using the twin criteria of parsimony and accuracy. This approach is backed up with a strong visual element, including for the first time a clear illustration of what the F-ratio actually does, and why it is so ubiquitous in statistical testing. The book covers the main statistical methods up to multifactorial and repeated measures, ANOVA and the basic experimental designs associated with them. The associated online supplementary material extends this coverage to multiple regression, exploratory factor analysis, power calculations and other more advanced topics, and provides screencasts demonstrating the use of programs on a standard statistical package, SPSS. Of particular value to third year undergraduate as well as graduate students, this book will also have a broad appeal to anyone wanting a deeper understanding of the scientific method. Contents: What is Science?Comparing Different Models of a Set of DataTesting Hypotheses and Recording the Result: Types of ValidityBasic Descriptive Statistics (and How Pierre Laplace Saved the World)Bacon's Legacy: Causal Models, and How to Test ThemHow Hypothesis Testing Copes with Uncertainty: The Legacy of Karl Popper and Ronald FisherGaussian Distributions, the Building Block of Parametric StatisticsRandomized Controlled Trials, the Model T Ford of ExperimentsThe Independent Samples t-Test, the Analytical Engine of the RCTGeneralising the t-Test: One-Way ANOVAMultifactorial Designs and Their ANOVA CounterpartsRepeated Measures Designs, and Their ANOVA CounterpartsAppendices:On Finding the Right Effect SizeWhy Orthogonal Contrasts are UsefulMathematical Justification for the Occam LineGlossaryFurther ReadingReferencesIndex Readership: Students of undergraduate and graduate level psychology, and academics involved in research.
Author: Richard A. Chechile
Publisher: MIT Press
ISBN: 0262044587
Category : Mathematics
Languages : en
Pages : 473
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Book Description
An introduction to the Bayesian approach to statistical inference that demonstrates its superiority to orthodox frequentist statistical analysis. This book offers an introduction to the Bayesian approach to statistical inference, with a focus on nonparametric and distribution-free methods. It covers not only well-developed methods for doing Bayesian statistics but also novel tools that enable Bayesian statistical analyses for cases that previously did not have a full Bayesian solution. The book's premise is that there are fundamental problems with orthodox frequentist statistical analyses that distort the scientific process. Side-by-side comparisons of Bayesian and frequentist methods illustrate the mismatch between the needs of experimental scientists in making inferences from data and the properties of the standard tools of classical statistics. The book first covers elementary probability theory, the binomial model, the multinomial model, and methods for comparing different experimental conditions or groups. It then turns its focus to distribution-free statistics that are based on having ranked data, examining data from experimental studies and rank-based correlative methods. Each chapter includes exercises that help readers achieve a more complete understanding of the material. The book devotes considerable attention not only to the linkage of statistics to practices in experimental science but also to the theoretical foundations of statistics. Frequentist statistical practices often violate their own theoretical premises. The beauty of Bayesian statistics, readers will learn, is that it is an internally coherent system of scientific inference that can be proved from probability theory.
Author: Angela Dean
Publisher: CRC Press
ISBN: 146650434X
Category : Mathematics
Languages : en
Pages : 946
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Book Description
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.
Author: Harold Jeffreys
Publisher: Read Books Ltd
ISBN: 1447494784
Category : Science
Languages : en
Pages : 280
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Book Description
Originally published in 1931. The present work had its beginnings in a series of papers published jointly some years ago by Dr Dorothy Wrinch and myself. Both before and since that time several books purporting to give analyses of the principles of scientific inquiry have appeared, but it seems to me that none of them gives adequate attention to the chief guiding principle of both scientific and everyday knowledge that it is possible to learn from experience and to make inferences from it beyond the data directly known by sensation. Discussions from the philosophical and logical point of view have tended to the conclusion that this principle cannot be justified by logic alone, which is true, and have left it at that. In discussions by physicists, on the other hand, it hardly seems to be noticed that such a principle exists. In the present work the principle is frankly adopted as a primitive postulate and its consequences are developed. It is found to lead to an explanation and a justification of the high probabilities attached in practice to simple quantitative laws, and thereby to a recasting of the processes involved in description. As illustrations of the actual relations of scientific laws to experience it is shown how the sciences of mensuration and dynamics may be developed. I have been stimulated to an interest in the subject myself on account of the fact that in my work in the subjects of cosmogony and geophysics it has habitually been necessary to apply physical laws far beyond their original range of verification in both time and distance, and the problems involved in such extrapolation have therefore always been prominent. This is a high quality digital version of the original title, thus a few of the images may be slightly blurred and difficult to read.
