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Abstract Measurement Theory
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Book Synopsis Abstract Measurement Theory by : Louis Narens
Download or read book Abstract Measurement Theory written by Louis Narens and published by MIT Press (MA). This book was released on 1985 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a theory of measurement, one that is "abstract" in that it is concerned with highly general axiomatizations of empirical and qualitative settings and how these can be represented quantitatively.
Book Synopsis An Introduction to Measure Theory by : Terence Tao
Download or read book An Introduction to Measure Theory written by Terence Tao and published by American Mathematical Soc.. This book was released on 2021-09-03 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Book Synopsis Measurement Theory in Action by : Kenneth S Shultz
Download or read book Measurement Theory in Action written by Kenneth S Shultz and published by Routledge. This book was released on 2020-12-29 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: -Helps readers apply testing and measurement theories they learn in courses on psychometrics, testing and measurement and/or multivariate statistics taught in psychology, education, marketing and management. -With 22 self-standing modules instructors can pick and choose the ones that are most appropriate for their course. -Each module features an overview of a measurement issue, a step-by-step application of that theory, and two cases which depict typical dilemmas faced when applying measurement theory followed by Questions to Ponder to encourage critical examination of the issues noted in the cases. -Best practices provide recommendations for ensuring the appropriate application of the theory. -Practical questions help students assess their understanding of the topic while the examples allow them to apply the material using real data. -Each module contains exercises some of which require no computer access while others involve the use of SPSS to solve the problem and a continuing exercise incorporates many of the steps in the development of a measure of typical performance. -Recent changes in understanding measurement, with over 50 new and updated references -Explanations of why each chapter, article, or book in each module’s Further Readings section is recommended -Instructors will find suggested answers to the book’s questions and exercises; detailed solutions to the exercises; test bank with 10 multiple choice and 5 short answer questions for each module; and PowerPoint slides. Students and instructors can access SPSS data sets; additional exercises; the glossary; and additional information helpful in understanding psychometric concepts.
Book Synopsis Measurement Theory and Applications for the Social Sciences by : Deborah L. Bandalos
Download or read book Measurement Theory and Applications for the Social Sciences written by Deborah L. Bandalos and published by Guilford Publications. This book was released on 2018-01-31 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Which types of validity evidence should be considered when determining whether a scale is appropriate for a given measurement situation? What about reliability evidence? Using clear explanations illustrated by examples from across the social and behavioral sciences, this engaging text prepares students to make effective decisions about the selection, administration, scoring, interpretation, and development of measurement instruments. Coverage includes the essential measurement topics of scale development, item writing and analysis, and reliability and validity, as well as more advanced topics such as exploratory and confirmatory factor analysis, item response theory, diagnostic classification models, test bias and fairness, standard setting, and equating. End-of-chapter exercises (with answers) emphasize both computations and conceptual understanding to encourage readers to think critically about the material. ÿ
Book Synopsis Measurement Theory: Volume 7 by : Fred S. Roberts
Download or read book Measurement Theory: Volume 7 written by Fred S. Roberts and published by Cambridge University Press. This book was released on 1984-12-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to measurement theory for non-specialists and puts measurement in the social and behavioural sciences on a firm mathematical foundation. Results are applied to such topics as measurement of utility, psychophysical scaling and decision-making about pollution, energy, transportation and health. The results and questions presented should be of interest to both students and practising mathematicians since the author sets forth an area of mathematics unfamiliar to most mathematicians, but which has many potentially significant applications.
Book Synopsis Measurement Errors and Uncertainties by : Semyon G. Rabinovich
Download or read book Measurement Errors and Uncertainties written by Semyon G. Rabinovich and published by Springer Science & Business Media. This book was released on 2006-12-26 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical reference on theory and methods of estimating measurement errors and uncertainty for both scientists and engineers in industry and experimental research. Building on the fundamentals of measurement theory, this book offers a wealth of practial recommendations and procedures. It differs from the majority of books in that it balances coverage of probabilistic methods with detailed information on the characterization, calibration, standardization and limitations of measuring instruments, with specific examples from both electrical and mechanical systems. In addition to a general updating to reflect current research, new material in this edition includes increased coverage of indirect measurements, with a new, simpler, more efficient method for this class of measurements.
Book Synopsis Quantum Measurement Theory and its Applications by : Kurt Jacobs
Download or read book Quantum Measurement Theory and its Applications written by Kurt Jacobs and published by Cambridge University Press. This book was released on 2014-08-14 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent experimental advances in the control of quantum superconducting circuits, nano-mechanical resonators and photonic crystals has meant that quantum measurement theory is now an indispensable part of the modelling and design of experimental technologies. This book, aimed at graduate students and researchers in physics, gives a thorough introduction to the basic theory of quantum measurement and many of its important modern applications. Measurement and control is explicitly treated in superconducting circuits and optical and opto-mechanical systems, and methods for deriving the Hamiltonians of superconducting circuits are introduced in detail. Further applications covered include feedback control, metrology, open systems and thermal environments, Maxwell's demon, and the quantum-to-classical transition.
Book Synopsis Measurement Uncertainty by : Simona Salicone
Download or read book Measurement Uncertainty written by Simona Salicone and published by Springer Science & Business Media. This book was released on 2007-06-04 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The expression of uncertainty in measurement poses a challenge since it involves physical, mathematical, and philosophical issues. This problem is intensified by the limitations of the probabilistic approach used by the current standard (the GUM Instrumentation Standard). This text presents an alternative approach. It makes full use of the mathematical theory of evidence to express the uncertainty in measurements. Coverage provides an overview of the current standard, then pinpoints and constructively resolves its limitations. Numerous examples throughout help explain the book’s unique approach.
Book Synopsis Frontiers of Test Validity Theory by : Keith A. Markus
Download or read book Frontiers of Test Validity Theory written by Keith A. Markus and published by Routledge. This book was released on 2013-06-19 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines test validity in the behavioral, social, and educational sciences by exploring three fundamental problems: measurement, causation and meaning. Psychometric and philosophical perspectives receive attention along with unresolved issues. The authors explore how measurement is conceived from both the classical and modern perspectives. The importance of understanding the underlying concepts as well as the practical challenges of test construction and use receive emphasis throughout. The book summarizes the current state of the test validity theory field. Necessary background on test theory and statistics is presented as a conceptual overview where needed. Each chapter begins with an overview of key material reviewed in previous chapters, concludes with a list of suggested readings, and features boxes with examples that connect theory to practice. These examples reflect actual situations that occurred in psychology, education, and other disciplines in the US and around the globe, bringing theory to life. Critical thinking questions related to the boxed material engage and challenge readers. A few examples include: What is the difference between intelligence and IQ? Can people disagree on issues of value but agree on issues of test validity? Is it possible to ask the same question in two different languages? The first part of the book contrasts theories of measurement as applied to the validity of behavioral science measures.The next part considers causal theories of measurement in relation to alternatives such as behavior domain sampling, and then unpacks the causal approach in terms of alternative theories of causation.The final section explores the meaning and interpretation of test scores as it applies to test validity. Each set of chapters opens with a review of the key theories and literature and concludes with a review of related open questions in test validity theory. Researchers, practitioners and policy makers interested in test validity or developing tests appreciate the book's cutting edge review of test validity. The book also serves as a supplement in graduate or advanced undergraduate courses on test validity, psychometrics, testing or measurement taught in psychology, education, sociology, social work, political science, business, criminal justice and other fields. The book does not assume a background in measurement.
Book Synopsis Diagnostic Measurement by : Andr? A. Rupp
Download or read book Diagnostic Measurement written by Andr? A. Rupp and published by Guilford Press. This book was released on 2010-04-09 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the theory and practice of diagnostic classification models (DCMs), which are useful for statistically driven diagnostic decision making. DCMs can be employed in a wide range of disciplines, including educational assessment and clinical psychology. For the first time in a single volume, the authors present the key conceptual underpinnings and methodological foundations for applying these models in practice. Specifically, they discuss a unified approach to DCMs, the mathematical structure of DCMs and their relationship to other latent variable models, and the implementation and estimation of DCMs using Mplus. The book's highly accessible language, real-world applications, numerous examples, and clearly annotated equations will encourage professionals and students to explore the utility and statistical properties of DCMs in their own projects. This book will appeal to professionals in the testing industry; professors and students in educational, school, clinical, and cognitive psychology. It will also serve as a useful text in doctoral-level courses in diagnostic testing, cognitive diagnostic assessment, test validity, diagnostic assessment, advanced educational measurement, psychometrics, and item response theory
Book Synopsis Measure Theory and Probability Theory by : Krishna B. Athreya
Download or read book Measure Theory and Probability Theory written by Krishna B. Athreya and published by Springer Science & Business Media. This book was released on 2006-07-27 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate level textbook on measure theory and probability theory. The book can be used as a text for a two semester sequence of courses in measure theory and probability theory, with an option to include supplemental material on stochastic processes and special topics. It is intended primarily for first year Ph.D. students in mathematics and statistics although mathematically advanced students from engineering and economics would also find the book useful. Prerequisites are kept to the minimal level of an understanding of basic real analysis concepts such as limits, continuity, differentiability, Riemann integration, and convergence of sequences and series. A review of this material is included in the appendix. The book starts with an informal introduction that provides some heuristics into the abstract concepts of measure and integration theory, which are then rigorously developed. The first part of the book can be used for a standard real analysis course for both mathematics and statistics Ph.D. students as it provides full coverage of topics such as the construction of Lebesgue-Stieltjes measures on real line and Euclidean spaces, the basic convergence theorems, L^p spaces, signed measures, Radon-Nikodym theorem, Lebesgue's decomposition theorem and the fundamental theorem of Lebesgue integration on R, product spaces and product measures, and Fubini-Tonelli theorems. It also provides an elementary introduction to Banach and Hilbert spaces, convolutions, Fourier series and Fourier and Plancherel transforms. Thus part I would be particularly useful for students in a typical Statistics Ph.D. program if a separate course on real analysis is not a standard requirement. Part II (chapters 6-13) provides full coverage of standard graduate level probability theory. It starts with Kolmogorov's probability model and Kolmogorov's existence theorem. It then treats thoroughly the laws of large numbers including renewal theory and ergodic theorems with applications and then weak convergence of probability distributions, characteristic functions, the Levy-Cramer continuity theorem and the central limit theorem as well as stable laws. It ends with conditional expectations and conditional probability, and an introduction to the theory of discrete time martingales. Part III (chapters 14-18) provides a modest coverage of discrete time Markov chains with countable and general state spaces, MCMC, continuous time discrete space jump Markov processes, Brownian motion, mixing sequences, bootstrap methods, and branching processes. It could be used for a topics/seminar course or as an introduction to stochastic processes. Krishna B. Athreya is a professor at the departments of mathematics and statistics and a Distinguished Professor in the College of Liberal Arts and Sciences at the Iowa State University. He has been a faculty member at University of Wisconsin, Madison; Indian Institute of Science, Bangalore; Cornell University; and has held visiting appointments in Scandinavia and Australia. He is a fellow of the Institute of Mathematical Statistics USA; a fellow of the Indian Academy of Sciences, Bangalore; an elected member of the International Statistical Institute; and serves on the editorial board of several journals in probability and statistics. Soumendra N. Lahiri is a professor at the department of statistics at the Iowa State University. He is a fellow of the Institute of Mathematical Statistics, a fellow of the American Statistical Association, and an elected member of the International Statistical Institute.
Book Synopsis Introduction to Psychometric Theory by : Tenko Raykov
Download or read book Introduction to Psychometric Theory written by Tenko Raykov and published by Routledge. This book was released on 2011-01-07 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new text provides a state-of the-art introduction to educational and psychological testing and measurement theory that reflects many intellectual developments of the past two decades. The book introduces psychometric theory using a latent variable modeling (LVM) framework and emphasizes interval estimation throughout, so as to better prepare readers for studying more advanced topics later in their careers. Featuring numerous examples, it presents an applied approach to conducting testing and measurement in the behavioral, social, and educational sciences. Readers will find numerous tips on how to use test theory in today’s actual testing situations. To reflect the growing use of statistical software in psychometrics, the authors introduce the use of Mplus after the first few chapters. IBM SPSS, SAS, and R are also featured in several chapters. Software codes and associated outputs are reviewed throughout to enhance comprehension. Essentially all of the data used in the book are available on the website. In addition instructors will find helpful PowerPoint lecture slides and questions and problems for each chapter. The authors rely on LVM when discussing fundamental concepts such as exploratory and confirmatory factor analysis, test theory, generalizability theory, reliability and validity, interval estimation, nonlinear factor analysis, generalized linear modeling, and item response theory. The varied applications make this book a valuable tool for those in the behavioral, social, educational, and biomedical disciplines, as well as in business, economics, and marketing. A brief introduction to R is also provided. Intended as a text for advanced undergraduate and/or graduate courses in psychometrics, testing and measurement, measurement theory, psychological testing, and/or educational and/or psychological measurement taught in departments of psychology, education, human development, epidemiology, business, and marketing, it will also appeal to researchers in these disciplines. Prerequisites include an introduction to statistics with exposure to regression analysis and ANOVA. Familiarity with SPSS, SAS, STATA, or R is also beneficial. As a whole, the book provides an invaluable introduction to measurement and test theory to those with limited or no familiarity with the mathematical and statistical procedures involved in measurement and testing.
Book Synopsis Theory and Measurement by : Henry Ely Kyburg
Download or read book Theory and Measurement written by Henry Ely Kyburg and published by Cambridge University Press. This book was released on 1984-06-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Henry Kyburg Jr proposes here an original, carefully worked out theory of the foundations of measurement, to show how quantities can be defined, why certain mathematical structures are appropriate to them and what meaning attaches to the results generated. Crucial to his approach is the notion of error.
Book Synopsis Measurement in the Social Sciences by : Richard A. Zeller
Download or read book Measurement in the Social Sciences written by Richard A. Zeller and published by Cambridge University Press. This book was released on 1980-04-30 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed to bridge the gap between the theorist and the methodologist by presenting an integrated approach to measurement. By differentiating between random and systematic error, it conveys both statistical techniques and their theoretical underpinnings essential to students of sociology and political science. Rather than developing new technical methods of new theoretical structures, Professors Zeller and Carmines provide thorough explanations of the assumptions, limitations and interpretations of previously established techniques and theories. Written at a level accessible to students of social science with some statistical training, the book does not presume a sophisticated mathematical background. By concentrating on synthesizing the methodological and theoretical realms, Zeller and Carmines demonstrate why measurement considerations are important to research and how measurement principles can be most effectively applied.
Download or read book Communimetrics written by John S. Lyons and published by Springer Science & Business Media. This book was released on 2009-06-19 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measurement in human services means one thing: how well the effort serves clients. But the data doesn’t exist in a vacuum and must be communicated clearly between provider and client, provider and management, and across systems. During the past decade, innovative communimetric measures have helped more than 50,000 professionals worldwide in health care, justice, and business settings deliver findings that enhance communication on all sides. Now, the theory and methods behind this fast-paced innovation are available in this informative volume. Communimetrics presents information in an accessible style, and its model of measurement as communication bolsters transparency and ease of interpretation without sacrificing validity or reliability. It conveys a deep appreciation for the unique position of service delivery systems at the intersection between science and management (and between quality and quantity), and shows readers how to create measures that can be used immediately to translate findings into practical action. This must-have volume offers readers the tools for understanding—and applying—this cutting-edge innovation by providing: The theoretical base for communimetrics. Practical illustrations comparing communimetrics with traditional methods. Guidelines for designing communimetric measures and evaluating their reliability and validity. Detailed examples of three widely used communimetric measures—the Child and Adolescent Needs and Strengths (CANS), the INTERMED, and the Entrepreneurial League System Assessment as well as detailed explanations for how they are used and why they work. Applications used in a range of settings, including children’s services, adult mental health, services for the aging, and business and organizational development. Communimetrics provides a wealth of real-world uses to a wide professional audience, including program evaluators, quality management professionals, enterprise managers, teachers of field research methods, and professionals involved in measurement and management design. It also makes an exceptionally useful text for program evaluation courses.
Book Synopsis An Introduction to the Theory of Mental and Social Measurements by : Edward Lee Thorndike
Download or read book An Introduction to the Theory of Mental and Social Measurements written by Edward Lee Thorndike and published by . This book was released on 1904 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Theory and Measurement by : John Archibald Wheeler
Download or read book Quantum Theory and Measurement written by John Archibald Wheeler and published by Princeton University Press. This book was released on 2014-07-14 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: The forty-nine papers collected here illuminate the meaning of quantum theory as it is disclosed in the measurement process. Together with an introduction and a supplemental annotated bibliography, they discuss issues that make quantum theory, overarching principle of twentieth-century physics, appear to many to prefigure a new revolution in science. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
