Analysis of Variance and Functional Measurement

Analysis of Variance and Functional Measurement PDF Author: David J. Weiss
Publisher: Oxford University Press
ISBN: 0195183150
Category : Mathematics
Languages : en
Pages : 278

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Book Description
This book is a clear and straightforward guide to analysis of variance, the backbone of experimental research. It will show you how to interpret statistical results and translate them into prose that will clearly tell your audience what your data is saying. To help you become familiar with the techniques used in analysis of variance, there are plenty of end-of-chapter practice problems with suggested answers. As life in the laboratory doesnt always follow a script, there are both new and established techniques for coping with situations that deviate from the norm. Data analysis is not a closed subject, so there are pros and cons for the varied situations you will encounter. The final chapter gives the first elementary presentation of functional measurement, or information integration theory, a methodology built upon analysis of variance that is a powerful technique for studying cognitive processes. The accompanying CD contains CALSTAT, analysis of variance software that is easy to use (really!). In addition to programs for standard analysis, the software includes several specialized routines that have heretofore been presented only in journals. Analysis of Variance is an important resource for students and professionals in the social, behavioral, and neurosciences.

Analysis of Variance for Functional Data

Analysis of Variance for Functional Data PDF Author: Jin-Ting Zhang
Publisher: CRC Press
ISBN: 1439862745
Category : Mathematics
Languages : en
Pages : 406

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Book Description
Despite research interest in functional data analysis in the last three decades, few books are available on the subject. Filling this gap, Analysis of Variance for Functional Data presents up-to-date hypothesis testing methods for functional data analysis. The book covers the reconstruction of functional observations, functional ANOVA, functional l

Learning Statistics with R

Learning Statistics with R PDF Author: Daniel Navarro
Publisher: Lulu.com
ISBN: 1326189727
Category : Computers
Languages : en
Pages : 617

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Book Description
"Learning Statistics with R" covers the contents of an introductory statistics class, as typically taught to undergraduate psychology students, focusing on the use of the R statistical software and adopting a light, conversational style throughout. The book discusses how to get started in R, and gives an introduction to data manipulation and writing scripts. From a statistical perspective, the book discusses descriptive statistics and graphing first, followed by chapters on probability theory, sampling and estimation, and null hypothesis testing. After introducing the theory, the book covers the analysis of contingency tables, t-tests, ANOVAs and regression. Bayesian statistics are covered at the end of the book. For more information (and the opportunity to check the book out before you buy!) visit http://ua.edu.au/ccs/teaching/lsr or http://learningstatisticswithr.com

The Analysis of Variance

The Analysis of Variance PDF Author: Henry Scheffé
Publisher: John Wiley & Sons
ISBN: 9780471345053
Category : Mathematics
Languages : en
Pages : 500

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Book Description
Originally published in 1959, this classic volume has had a major impact on generations of statisticians. Newly issued in the Wiley Classics Series, the book examines the basic theory of analysis of variance by considering several different mathematical models. Part I looks at the theory of fixed-effects models with independent observations of equal variance, while Part II begins to explore the analysis of variance in the case of other models.

Understanding Statistics and Experimental Design

Understanding Statistics and Experimental Design PDF 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.

Encyclopedia of Research Design

Encyclopedia of Research Design PDF Author: Neil J. Salkind
Publisher: SAGE
ISBN: 1412961270
Category : Philosophy
Languages : en
Pages : 1779

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Book Description
"Comprising more than 500 entries, the Encyclopedia of Research Design explains how to make decisions about research design, undertake research projects in an ethical manner, interpret and draw valid inferences from data, and evaluate experiment design strategies and results. Two additional features carry this encyclopedia far above other works in the field: bibliographic entries devoted to significant articles in the history of research design and reviews of contemporary tools, such as software and statistical procedures, used to analyze results. It covers the spectrum of research design strategies, from material presented in introductory classes to topics necessary in graduate research; it addresses cross- and multidisciplinary research needs, with many examples drawn from the social and behavioral sciences, neurosciences, and biomedical and life sciences; it provides summaries of advantages and disadvantages of often-used strategies; and it uses hundreds of sample tables, figures, and equations based on real-life cases."--Publisher's description.

Analysis of Variance, Design, and Regression

Analysis of Variance, Design, and Regression PDF Author: Ronald Christensen
Publisher: CRC Press
ISBN: 9780412062919
Category : Mathematics
Languages : en
Pages : 608

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Book Description
This text presents a comprehensive treatment of basic statistical methods and their applications. It focuses on the analysis of variance and regression, but also addressing basic ideas in experimental design and count data. The book has four connecting themes: similarity of inferential procedures, balanced one-way analysis of variance, comparison of models, and checking assumptions. Most inferential procedures are based on identifying a scalar parameter of interest, estimating that parameter, obtaining the standard error of the estimate, and identifying the appropriate reference distribution. Given these items, the inferential procedures are identical for various parameters. Balanced one-way analysis of variance has a simple, intuitive interpretation in terms of comparing the sample variance of the group means with the mean of the sample variance for each group. All balanced analysis of variance problems are considered in terms of computing sample variances for various group means. Comparing different models provides a structure for examining both balanced and unbalanced analysis of variance problems and regression problems. Checking assumptions is presented as a crucial part of every statistical analysis. Examples using real data from a wide variety of fields are used to motivate theory. Christensen consistently examines residual plots and presents alternative analyses using different transformation and case deletions. Detailed examination of interactions, three factor analysis of variance, and a split-plot design with four factors are included. The numerous exercises emphasize analysis of real data. Senior undergraduate and graduate students in statistics and graduate students in other disciplines using analysis of variance, design of experiments, or regression analysis will find this book useful.

Social Attitudes and Psychophysical Measurement

Social Attitudes and Psychophysical Measurement PDF Author: B. Wegener
Publisher: Psychology Press
ISBN: 1134918542
Category : Psychology
Languages : en
Pages : 497

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Book Description
Published in 1982, Social Attitudes and Psychophysical Measurement is a valuable contribution to the field of Cognitive Psychology.

Psychophysical Judgment and Measurement

Psychophysical Judgment and Measurement PDF Author: Edward Carterette
Publisher: Elsevier
ISBN: 0323145345
Category : Psychology
Languages : en
Pages : 589

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Book Description
Handbook of Perception, Volume II: Psychophysical Judgment and Measurement brings together a very large, diverse, and widely scattered literature on human perception, with emphasis on psychophysical judgement and measurement. The book reviews the history of research on choice, judgement, and measurement in order to provide a background for contemporary work. This volume is organized into five sections encompassing 14 chapters and begins with a historical background on psychophysics and the evolution of thinking about the central measurement problem in judgement. The basic psychological context in which choice and judgement occur is considered next, touching on topics such as the problem of information selection and the sources of bias and variability in judgemental processes in relation to memory. The chapters that follow discuss the theoretical frame of measurement models and their applications. In particular, examples of algebraic fundamental measurement, algebraic derived measurement, and probabilistic derived measurement are given. The book also introduces the reader to various psychophysical scaling methods and theories of scaling. This book will serve as a basic source and reference work for psychologists and natural scientists, as well as for anyone in the arts or sciences or those who are interested in human perception.

Statistical Parametric Mapping: The Analysis of Functional Brain Images

Statistical Parametric Mapping: The Analysis of Functional Brain Images PDF Author: William D. Penny
Publisher: Elsevier
ISBN: 0080466508
Category : Psychology
Languages : en
Pages : 689

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Book Description
In an age where the amount of data collected from brain imaging is increasing constantly, it is of critical importance to analyse those data within an accepted framework to ensure proper integration and comparison of the information collected. This book describes the ideas and procedures that underlie the analysis of signals produced by the brain. The aim is to understand how the brain works, in terms of its functional architecture and dynamics. This book provides the background and methodology for the analysis of all types of brain imaging data, from functional magnetic resonance imaging to magnetoencephalography. Critically, Statistical Parametric Mapping provides a widely accepted conceptual framework which allows treatment of all these different modalities. This rests on an understanding of the brain's functional anatomy and the way that measured signals are caused experimentally. The book takes the reader from the basic concepts underlying the analysis of neuroimaging data to cutting edge approaches that would be difficult to find in any other source. Critically, the material is presented in an incremental way so that the reader can understand the precedents for each new development. This book will be particularly useful to neuroscientists engaged in any form of brain mapping; who have to contend with the real-world problems of data analysis and understanding the techniques they are using. It is primarily a scientific treatment and a didactic introduction to the analysis of brain imaging data. It can be used as both a textbook for students and scientists starting to use the techniques, as well as a reference for practicing neuroscientists. The book also serves as a companion to the software packages that have been developed for brain imaging data analysis. - An essential reference and companion for users of the SPM software - Provides a complete description of the concepts and procedures entailed by the analysis of brain images - Offers full didactic treatment of the basic mathematics behind the analysis of brain imaging data - Stands as a compendium of all the advances in neuroimaging data analysis over the past decade - Adopts an easy to understand and incremental approach that takes the reader from basic statistics to state of the art approaches such as Variational Bayes - Structured treatment of data analysis issues that links different modalities and models - Includes a series of appendices and tutorial-style chapters that makes even the most sophisticated approaches accessible