Comparison Of Statistical Experiments

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Comparison of Statistical Experiments

Erik Torgersen
Comparison of Statistical Experiments Book PDF

Author : Erik Torgersen
Publisher : Cambridge University Press
Page : 706 pages
File Size : 54,9 Mb
Release : 1991-03-14
Category : Business & Economics
ISBN : 0521250307

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Comparison of Statistical Experiments by Erik Torgersen Pdf

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.

Comparison of Statistical Experiments

Erik N. Torgersen
Comparison of Statistical Experiments Book PDF

Author : Erik N. Torgersen
Publisher : Unknown
Page : 698 pages
File Size : 50,8 Mb
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 1107087228

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Comparison of Statistical Experiments by Erik N. Torgersen Pdf

A comprehensive treatment of statistical experiments and an essential reference for mathematical statisticians.

Designing Experiments and Analyzing Data

Scott E. Maxwell,Harold D. Delaney
Designing Experiments and Analyzing Data Book PDF

Author : Scott E. Maxwell,Harold D. Delaney
Publisher : Routledge
Page : 930 pages
File Size : 50,6 Mb
Release : 2000
Category : Experimental design
ISBN : UCSD:31822032192007

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Designing Experiments and Analyzing Data by Scott E. Maxwell,Harold D. Delaney Pdf

Through this book's unique model comparison approach, students and researchers are introduced to a set of fundamental principles for analyzing data. After seeing how these principles can be applied in simple designs, students are shown how these same principles also apply in more complicated designs. Drs. Maxwell and Delaney believe that the model comparison approach better prepares students to understand the logic behind a general strategy of data analysis appropriate for various designs; and builds a stronger foundation, which allows for the introduction of more complex topics omitted from other books. Several learning tools further strengthen the reader's understanding: *flowcharts assist in choosing the most appropriate technique; *an equation cross-referencing system aids in locating the initial, detailed definition and numerous summary equation tables assist readers in understanding differences between different methods for analyzing their data; *examples based on actual research in a variety of behavioral sciences help students see the applications of the material; *numerous exercises help develop a deeper understanding of the subject. Detailed solutions are provided for some of the exercises and *realistic data sets allow the reader to see an analysis of data from each design in its entirety. Updated throughout, the second edition features: *significantly increased attention to measures of effects, including confidence intervals, strength of association, and effect size estimation for complex and simple designs; *an increased use of statistical packages and the graphical presentation of data; *new chapters (15 & 16) on multilevel models; *the current controversies regarding statistical reasoning, such as the latest debates on hypothesis testing (ch. 2); *a new preview of the experimental designs covered in the book (ch. 2); *a CD with SPSS and SAS data sets for many of the text exercises, as well as tutorials reviewing basic statistics and regression; and *a Web site containing examples of SPSS and SAS syntax for analyzing many of the text exercises. Appropriate for advanced courses on experimental design or analysis, applied statistics, or analysis of variance taught in departments of psychology, education, statistics, business, and other social sciences, the book is also ideal for practicing researchers in these disciplines. A prerequisite of undergraduate statistics is assumed. An Instructor's Solutions Manual is available to those who adopt the book for classroom use.

Statistics and Experimental Design for Psychologists

Rory Allen
Statistics and Experimental Design for Psychologists Book PDF

Author : Rory Allen
Publisher : World Scientific Publishing Company
Page : 472 pages
File Size : 42,9 Mb
Release : 2017-08-28
Category : Psychology
ISBN : 9781786340672

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Statistics and Experimental Design for Psychologists by Rory Allen Pdf

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.

Theory of Statistical Experiments

H. Heyer
Theory of Statistical Experiments Book PDF

Author : H. Heyer
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461382188

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Theory of Statistical Experiments by H. Heyer Pdf

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

R. Mead
The Design of Experiments Book PDF

Author : R. Mead
Publisher : Cambridge University Press
Page : 640 pages
File Size : 49,8 Mb
Release : 1990-07-26
Category : Mathematics
ISBN : 0521287626

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The Design of Experiments by R. Mead Pdf

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.

Experiment Design and Statistical Methods For Behavioural and Social Research

David R. Boniface
Experiment Design and Statistical Methods For Behavioural and Social Research Book PDF

Author : David R. Boniface
Publisher : Routledge
Page : 276 pages
File Size : 46,9 Mb
Release : 2019-05-20
Category : Mathematics
ISBN : 9781351449298

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Experiment Design and Statistical Methods For Behavioural and Social Research by David R. Boniface Pdf

Experiment Design and Statistical Methods introduces the concepts, principles, and techniques for carrying out a practical research project either in real world settings or laboratories - relevant to studies in psychology, education, life sciences, social sciences, medicine, and occupational and management research. The text covers: repeated measures unbalanced and non-randomized experiments and surveys choice of design adjustment for confounding variables model building and partition of variance covariance multiple regression Experiment Design and Statistical Methods contains a unique extension of the Venn diagram for understanding non-orthogonal design, and it includes exercises for developing the reader's confidence and competence. The book also examines advanced techniques for users of computer packages or data analysis, such as Minitab, SPSS, SAS, SuperANOVA, Statistica, BMPD, SYSTAT, Genstat, and GLIM.

Design and Analysis of Experiments for Statistical Selection, Screening, and Multiple Comparisons

Robert E. Bechhofer,Thomas J. Santner,David M. Goldsman
Design and Analysis of Experiments for Statistical Selection Screening and Multiple Comparisons Book PDF

Author : Robert E. Bechhofer,Thomas J. Santner,David M. Goldsman
Publisher : Wiley-Interscience
Page : 0 pages
File Size : 51,6 Mb
Release : 1995-07-21
Category : Mathematics
ISBN : 0471574279

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Design and Analysis of Experiments for Statistical Selection, Screening, and Multiple Comparisons by Robert E. Bechhofer,Thomas J. Santner,David M. Goldsman Pdf

A practical guide to selection, screening, and multiplecomparisons This book addresses experimenters who have knowledge of classicalexperimental design methodology and expands their repertoire beyondhypothesis testing by providing statistical methods appropriate forselection, screening, and multiple comparisons. It concentrates onthree types of procedures: selection procedures that use the"indifference-zone" approach, screening procedures using the"subset" approach, and multiple comparison procedures involvingnormal means. This is the first book, specifically designed forpractitioners, to bring into focus many developments in the fieldpreviously covered only in university courses. It also presents newresults on the comparison of procedures that have been obtainedspecifically for this volume. This self-contained volume describes methods for designingexperiments when the scientific objective is selection of besttreatments, screening a set of treatments, and multiple comparisonsamong treatment means. The book emphasizes procedures appropriatein a variety of practical settings including those that requireblocking and randomization restriction. It compares the relativemerits of procedures when several different methods can be used inthe same circumstances. Providing practical guidance for experimenters in agriculture,engineering, medicine, and other empirical sciences, this book mayalso be used for a one-semester graduate course in selectionmethodology or to augment traditional courses in experimentaldesign. Design and Analysis of Experiments for Statistical Selection,Screening, and Multiple Comparisons: * Shows how selection and screening can be applied to data thatfollow one of three important probability models--normaldistribution, binomial distribution, and the multinomialdistribution models * Provides an extensive comparison of procedures, allowingexperimenters to choose among competitors when several differentprocedures are feasible for a given application * Gives an extensive set of tables of constants necessary toimplement the procedures * Supplements the tables of constants with listings of FORTRANprograms so that experimenters are not limited to those valuescovered by the tables * Focuses on frequent formulations, while also providing referencesto Bayesian and other alternative developments in the Chapter Notes

Experimental Statistics for Agriculture and Horticulture

Clive R. Ireland
Experimental Statistics for Agriculture and Horticulture Book PDF

Author : Clive R. Ireland
Publisher : CABI
Page : 376 pages
File Size : 51,9 Mb
Release : 2010
Category : Education
ISBN : 9781845935375

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Experimental Statistics for Agriculture and Horticulture by Clive R. Ireland Pdf

Providing practical training supported by a sound theoretical basis, this textbook introduces students to the principles of investigation by experiment and the role of statistics in analysis. It draws on the author's extensive teaching experience and is illustrated with fully worked, contextualized examples throughout, helping readers to correctly design their own experiments and identify the most appropriate technique for analysis. Subjects include sampling and determining sample reliability, hypothesis testing, relationships between variables, the role and use of computer packages such as Microsoft Excel spreadsheet software and GenStat, and more complex experimental designs, such as randomized blocks and split plots. This book is an essential text for students of agriculture, horticulture and related disciplines

Statistical Analysis of Designed Experiments, Third Edition

Helge Toutenburg,Shalabh
Statistical Analysis of Designed Experiments Third Edition Book PDF

Author : Helge Toutenburg,Shalabh
Publisher : Springer Science & Business Media
Page : 615 pages
File Size : 49,7 Mb
Release : 2009-12-24
Category : Mathematics
ISBN : 9781441911483

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Statistical Analysis of Designed Experiments, Third Edition by Helge Toutenburg,Shalabh Pdf

This book is the third revised and updated English edition of the German textbook \Versuchsplanung und Modellwahl" by Helge Toutenburg which was based on more than 15 years experience of lectures on the course \- sign of Experiments" at the University of Munich and interactions with the statisticians from industries and other areas of applied sciences and en- neering. This is a type of resource/ reference book which contains statistical methods used by researchers in applied areas. Because of the diverse ex- ples combined with software demonstrations it is also useful as a textbook in more advanced courses, The applications of design of experiments have seen a signi?cant growth in the last few decades in di?erent areas like industries, pharmaceutical sciences, medical sciences, engineering sciences etc. The second edition of this book received appreciation from academicians, teachers, students and applied statisticians. As a consequence, Springer-Verlag invited Helge Toutenburg to revise it and he invited Shalabh for the third edition of the book. In our experience with students, statisticians from industries and - searchers from other ?elds of experimental sciences, we realized the importance of several topics in the design of experiments which will - crease the utility of this book. Moreover we experienced that these topics are mostly explained only theoretically in most of the available books.

Experimental Design

Klaus Hinkelmann
Experimental Design Book PDF

Author : Klaus Hinkelmann
Publisher : CRC Press
Page : 428 pages
File Size : 51,7 Mb
Release : 1984-02-22
Category : Mathematics
ISBN : 0824771516

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Experimental Design by Klaus Hinkelmann Pdf

Contributions to Iowa State University and Beyond; Design and analysis of experiments; Linear and non-linear models; Statistical and population genetics.

Statistical Experiments and Decisions

A N Shiryaev,V G Spokoiny
Statistical Experiments and Decisions Book PDF

Author : A N Shiryaev,V G Spokoiny
Publisher : World Scientific
Page : 300 pages
File Size : 52,9 Mb
Release : 2000-07-04
Category : Mathematics
ISBN : 9789814494151

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Statistical Experiments and Decisions by A N Shiryaev,V G Spokoiny Pdf

This volume provides an exposition of some fundamental aspects of the asymptotic theory of statistical experiments. The most important of them is “how to construct asymptotically optimal decisions if we know the structure of optimal decisions for the limit experiment”. Contents:Statistical Experiments and Their ComparisonConvergence of Statistical Experiments(γ,Γ)-Models. Convergence to (γ,Γ)-ModelsLocal Convergence of Statistical Experiments and Global EstimationStatistical Inference for Autoregressive Models of the First Order Readership: Researchers in probability and statistics. Keywords:Comparison of Statistical Experiments;Mixed Local Asymptotic Normality;Convergence of Experiments;Likelihood Ratio Processes;Contiguity;Autoregressive Models;Minimax Bound;Local Asymptotic NormalityReviews: “It is an interesting, welcome addition to the literature, and it contains many new insights. I congratulate the authors for writing this comprehensive monograph on a difficult subject.” Mathematical Reviews “The book is a highlight in modern mathematical statistics which offers a lot of new concepts. It recalls the brilliant methodology of Le Cam's Theory and the first chapters may be used as introduction into this field.” Mathematics Abstracts

Statistical Group Comparison

Tim Futing Liao
Statistical Group Comparison Book PDF

Author : Tim Futing Liao
Publisher : John Wiley & Sons
Page : 240 pages
File Size : 40,8 Mb
Release : 2011-09-20
Category : Mathematics
ISBN : 9781118150610

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Statistical Group Comparison by Tim Futing Liao Pdf

An incomparably useful examination of statistical methods for comparison The nature of doing science, be it natural or social, inevitably calls for comparison. Statistical methods are at the heart of such comparison, for they not only help us gain understanding of the world around us but often define how our research is to be carried out. The need to compare between groups is best exemplified by experiments, which have clearly defined statistical methods. However, true experiments are not always possible. What complicates the matter more is a great deal of diversity in factors that are not independent of the outcome. Statistical Group Comparison brings together a broad range of statistical methods for comparison developed over recent years. The book covers a wide spectrum of topics from the simplest comparison of two means or rates to more recently developed statistics including double generalized linear models and Bayesian as well as hierarchical methods. Coverage includes: * Testing parameter equality in linear regression and other generalized linear models (GLMs), in order of increasing complexity * Likelihood ratio, Wald, and Lagrange multiplier statistics examined where applicable * Group comparisons involving latent variables in structural equation modeling * Models of comparison for categorical latent variables Examples are drawn from the social, political, economic, and biomedical sciences; many can be implemented using widely available software. Because of the range and the generality of the statistical methods covered, researchers across many disciplines-beyond the social, political, economic, and biomedical sciences-will find the book a convenient reference for many a research situation where comparisons may come naturally.

Statistical Experiments and Decisions

Al?bert Nikolaevich Shiri?aev,V. G. Spokoiny
Statistical Experiments and Decisions Book PDF

Author : Al?bert Nikolaevich Shiri?aev,V. G. Spokoiny
Publisher : World Scientific
Page : 306 pages
File Size : 48,9 Mb
Release : 2000
Category : Mathematics
ISBN : 9810241011

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Statistical Experiments and Decisions by Al?bert Nikolaevich Shiri?aev,V. G. Spokoiny Pdf

This volume provides an exposition of some fundamental aspects of the asymptotic theory of statistical experiments. The most important of them is ?how to construct asymptotically optimal decisions if we know the structure of optimal decisions for the limit experiment?.

Statistical Analysis of Designed Experiments

Helge Toutenburg,Shalabh
Statistical Analysis of Designed Experiments Book PDF

Author : Helge Toutenburg,Shalabh
Publisher : Springer Science & Business Media
Page : 507 pages
File Size : 53,8 Mb
Release : 2006-05-09
Category : Mathematics
ISBN : 9780387227726

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Statistical Analysis of Designed Experiments by Helge Toutenburg,Shalabh Pdf

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.