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Multivariate Statistical Methods: A Primer provides an introductory overview of multivariate methods without getting too deep into the mathematical details. This fourth edition is a revised and updated version of this bestselling introductory textbook. It retains the clear and concise style of the previous editions of the book and focuses on examples from biological and environmental sciences. The major update with this edition is that R code has been included for each of the analyses described, although in practice any standard statistical package can be used. The original idea with this book still applies. This was to make it as short as possible and enable readers to begin using multivariate methods in an intelligent manner. With updated information on multivariate analyses, new references, and R code included, this book continues to provide a timely introduction to useful tools for multivariate statistical analysis.
Drawing upon more than 30 years of experience in working with statistics, Dr. Richard J. Harris has updated "A Primer of Multivariate Statistics" to provide a model of balance between how-to and why. This classic text covers multivariate techniques with a taste of latent variable approaches. Throughout the book there is a focus on the importance of describing and testing one's interpretations of the emergent variables that are produced by multivariate analysis. This edition retains its conversational writing style while focusing on classical techniques. The book gives the reader a feel for why one should consider diving into more detailed treatments of computer-modeling and latent-variable techniques, such as non-recursive path analysis, confirmatory factor analysis, and hierarchical linear modeling. Throughout the book there is a focus on the importance of describing and testing one's interpretations of the emergent variables that are produced by multivariate analysis.
This volume represents an ongoing series entitled Biological Shape Analysis, of which this is the 4th Edition. These proceedings represent state-of-the-art research in the field of biology, broadly-based, that deal with the quantitative analysis of the shape of the biological form. These numerical analyses include Fourier analytic methods, wavelets, neural networks, machine vision, machine learning, median axis transforms, spectral clustering, genome-wide association studies, 3D surface mapping, as well as more traditional morphometric approaches. Studies included are drawn from research in agricultural genetics, anatomy, anthropology, botany, dentistry, entomology, forensics, human evolution, paleontology, primatology, to name a few. The shape of forms can be considered of central importance in terms of identification, comparison, and classification of biological organisms. These proceedings, of which this is the fourth one, are unique in that they deal extensively with a wide range of organisms in biology, including both fauna and flora. They bring together diverse practitioners from a wide variety of disciplines. This represents a major departure from the current emphasis on specialization in the biological sciences. It is of particular importance to note that these issues dealing with shape analysis of biological structures are found to be common across very diverse disciplines and these proceedings are the first ones to highlight this. There are no volumes currently available that are as broadly-based as these proceedings in dealing with the quantification of shape analysis. (1) These volumes are unique in their diversity in covering the biological disciplines; (2) The emphasis on numerical approaches; and (3) the numerous state-of-the-art research papers.
Praise for the Second Edition “This book should be an essential part of the personallibrary of every practicingstatistician.”—Technometrics Thoroughly revised and updated, the new edition of NonparametricStatistical Methods includes additional modern topics andprocedures, more practical data sets, and new problems fromreal-life situations. The book continues to emphasize theimportance of nonparametric methods as a significant branch ofmodern statistics and equips readers with the conceptual andtechnical skills necessary to select and apply the appropriateprocedures for any given situation. Written by leading statisticians, Nonparametric StatisticalMethods, Third Edition provides readers with crucialnonparametric techniques in a variety of settings, emphasizing theassumptions underlying the methods. The book provides an extensivearray of examples that clearly illustrate how to use nonparametricapproaches for handling one- or two-sample location and dispersionproblems, dichotomous data, and one-way and two-way layoutproblems. In addition, the Third Edition features: The use of the freely available R software to aid incomputation and simulation, including many new R programs writtenexplicitly for this new edition New chapters that address density estimation, wavelets,smoothing, ranked set sampling, and Bayesian nonparametrics Problems that illustrate examples from agricultural science,astronomy, biology, criminology, education, engineering,environmental science, geology, home economics, medicine,oceanography, physics, psychology, sociology, and spacescience Nonparametric Statistical Methods, Third Edition is anexcellent reference for applied statisticians and practitioners whoseek a review of nonparametric methods and their relevantapplications. The book is also an ideal textbook forupper-undergraduate and first-year graduate courses in appliednonparametric statistics.
This comprehensive, flexible text is used in both one- and two-semester courses to review introductory through intermediate statistics. Instructors select the topics that are most appropriate for their course. Its conceptual approach helps students more easily understand the concepts and interpret SPSS and research results. Key concepts are simply stated and occasionally reintroduced and related to one another for reinforcement. Numerous examples demonstrate their relevance. This edition features more explanation to increase understanding of the concepts. Only crucial equations are included. In addition to updating throughout, the new edition features: New co-author, Debbie L. Hahs-Vaughn, the 2007 recipient of the University of Central Florida's College of Education Excellence in Graduate Teaching Award. A new chapter on logistic regression models for today's more complex methodologies. More on computing confidence intervals and conducting power analyses using G*Power. Many more SPSS screenshots to assist with understanding how to navigate SPSS and annotated SPSS output to assist in the interpretation of results. Extended sections on how to write-up statistical results in APA format. New learning tools including chapter-opening vignettes, outlines, and a list of key concepts, many more examples, tables, and figures, boxes, and chapter summaries. More tables of assumptions and the effects of their violation including how to test them in SPSS. 33% new conceptual, computational, and all new interpretative problems. A website that features PowerPoint slides, answers to the even-numbered problems, and test items for instructors, and for students the chapter outlines, key concepts, and datasets that can be used in SPSS and other packages, and more. Each chapter begins with an outline, a list of key concepts, and a vignette related to those concepts. Realistic examples from education and the behavioral sciences illustrate those concepts. Each example examines the procedures and assumptions and provides instructions for how to run SPSS, including annotated output, and tips to develop an APA style write-up. Useful tables of assumptions and the effects of their violation are included, along with how to test assumptions in SPSS. 'Stop and Think' boxes provide helpful tips for better understanding the concepts. Each chapter includes computational, conceptual, and interpretive problems. The data sets used in the examples and problems are provided on the web. Answers to the odd-numbered problems are given in the book. The first five chapters review descriptive statistics including ways of representing data graphically, statistical measures, the normal distribution, and probability and sampling. The remainder of the text covers inferential statistics involving means, proportions, variances, and correlations, basic and advanced analysis of variance and regression models. Topics not dealt with in other texts such as robust methods, multiple comparison and nonparametric procedures, and advanced ANOVA and multiple and logistic regression models are also reviewed. Intended for one- or two-semester courses in statistics taught in education and/or the behavioral sciences at the graduate and/or advanced undergraduate level, knowledge of statistics is not a prerequisite. A rudimentary knowledge of algebra is required.
Theories and practices to assess critical information in acomplex adaptive system Organized for readers to follow along easily, The Fitness ofInformation: Quantitative Assessments of Critical Evidenceprovides a structured outline of the key challenges in assessingcrucial information in a complex adaptive system. Illustrating avariety of computational and explanatory challenges, the bookdemonstrates principles and practical implications of exploring andassessing the fitness of information in an extensible framework ofadaptive landscapes. The book’s first three chapters introduce fundamentalprinciples and practical examples in connection to the nature ofaesthetics, mental models, and the subjectivity of evidence. Inparticular, the underlying question is how these issues can beaddressed quantitatively, not only computationally but alsoexplanatorily. The next chapter illustrates how one can reduce thelevel of complexity in understanding the structure and dynamics ofscientific knowledge through the design and use of the CiteSpacesystem for visualizing and analyzing emerging trends in scientificliterature. The following two chapters explain the concepts ofstructural variation and the fitness of information in a frameworkthat builds on the idea of fitness landscape originally introducedto study population evolution. The final chapter presents adual-map overlay technique and demonstrates how it supports avariety of analytic tasks for a new type of portfolioanalysis. The Fitness of Information: Quantitative Assessments of CriticalEvidence also features: In-depth case studies and examples that characterizefar-reaching concepts, illustrate underlying principles, anddemonstrate profound challenges and complexities at various levelsof analytic reasoning Wide-ranging topics that underline the common theme, from thesubjectivity of evidence in criminal trials to detecting earlysigns of critical transitions and mechanisms behind radicalpatents An extensible and unifying framework for visual analytics bytransforming analytic reasoning tasks to the assessment of criticalevidence The Fitness of Information: Quantitative Assessments of CriticalEvidence is a suitable reference for researchers, analysts, andpractitioners who are interested in analyzing evidence and makingdecisions with incomplete, uncertain, and even conflictinginformation. The book is also an excellent textbook forupper-undergraduate and graduate-level courses on visual analytics,information visualization, and business analytics and decisionsupport systems.
The concise yet authoritative presentation of key techniques for basic mixtures experiments Inspired by the author's bestselling advanced book on the topic, A Primer on Experiments with Mixtures provides an introductory presentation of the key principles behind experimenting with mixtures. Outlining useful techniques through an applied approach with examples from real research situations, the book supplies a comprehensive discussion of how to design and set up basic mixture experiments, then analyze the data and draw inferences from results. Drawing from his extensive experience teaching the topic at various levels, the author presents the mixture experiments in an easy-to-follow manner that is void of unnecessary formulas and theory. Succinct presentations explore key methods and techniques for carrying out basic mixture experiments, including: Designs and models for exploring the entire simplex factor space, with coverage of simplex-lattice and simplex-centroid designs, canonical polynomials, the plotting of individual residuals, and axial designs Multiple constraints on the component proportions in the form of lower and/or upper bounds, introducing L-Pseudocomponents, multicomponent constraints, and multiple lattice designs for major and minor component classifications Techniques for analyzing mixture data such as model reduction and screening components, as well as additional topics such as measuring the leverage of certain design points Models containing ratios of the components, Cox's mixture polynomials, and the fitting of a slack variable model A review of least squares and the analysis of variance for fitting data Each chapter concludes with a summary and appendices with details on the technical aspects of the material. Throughout the book, exercise sets with selected answers allow readers to test their comprehension of the material, and References and Recommended Reading sections outline further resources for study of the presented topics. A Primer on Experiments with Mixtures is an excellent book for one-semester courses on mixture designs and can also serve as a supplement for design of experiments courses at the upper-undergraduate and graduate levels. It is also a suitable reference for practitioners and researchers who have an interest in experiments with mixtures and would like to learn more about the related mixture designs and models.

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