Abstract Measurement Theory
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Abstract Measurement Theory
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Author : Louis Narens
language : en
Publisher: MIT Press (MA)
Release Date : 1985
Abstract Measurement Theory written by Louis Narens and has been published by MIT Press (MA) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
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.
Measurement Theory In Action
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Author : Kenneth S Shultz
language : en
Publisher: Routledge
Release Date : 2020-12-29
Measurement Theory In Action written by Kenneth S Shultz and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-29 with Psychology categories.
-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.
Measurement Theory And Applications For The Social Sciences
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Author : Deborah L. Bandalos
language : en
Publisher: Guilford Publications
Release Date : 2018-01-31
Measurement Theory And Applications For The Social Sciences written by Deborah L. Bandalos and has been published by Guilford Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-31 with Social Science categories.
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
Measurement And Probability
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Author : Giovanni Battista Rossi
language : en
Publisher: Springer
Release Date : 2014-05-19
Measurement And Probability written by Giovanni Battista Rossi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-19 with Science categories.
Measurement plays a fundamental role both in physical and behavioral sciences, as well as in engineering and technology: it is the link between abstract models and empirical reality and is a privileged method of gathering information from the real world. Is it possible to develop a single theory of measurement for the various domains of science and technology in which measurement is involved? This book takes the challenge by addressing the following main issues: What is the meaning of measurement? How do we measure? What can be measured? A theoretical framework that could truly be shared by scientists in different fields, ranging from physics and engineering to psychology is developed. The future in fact will require greater collaboration between science and technology and between different sciences. Measurement, which played a key role in the birth of modern science, can act as an essential interdisciplinary tool and language for this new scenario. A sound theoretical basis for addressing key problems in measurement is provided. These include perceptual measurement, the evaluation of uncertainty, the evaluation of inter-comparisons, the analysis of risks in decision-making and the characterization of dynamical measurement. Currently, increasing attention is paid to these issues due to their scientific, technical, economic and social impact. The book proposes a unified probabilistic approach to them which may allow more rational and effective solutions to be reached. Great care was taken to make the text as accessible as possible in several ways. Firstly, by giving preference to as interdisciplinary a terminology as possible; secondly, by carefully defining and discussing all key terms. This ensures that a wide readership, including people from different mathematical backgrounds and different understandings of measurement can all benefit from this work. Concerning mathematics, all the main results are preceded by intuitive discussions and illustrated by simple examples. Moreover, precise proofs are always included in order to enable the more demanding readers to make conscious and creative use of these ideas, and also to develop new ones. The book demonstrates that measurement, which is commonly understood to be a merely experimental matter, poses theoretical questions which are no less challenging than those arising in other, apparently more theoretical, disciplines.
Measurement Theory Volume 7
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Author : Fred S. Roberts
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28
Measurement Theory Volume 7 written by Fred S. Roberts and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-28 with Mathematics categories.
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.
An Introduction To Measure Theory
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Author : Terence Tao
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-09-03
An Introduction To Measure Theory written by Terence Tao and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-03 with Education categories.
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.
Measure Theory And Fine Properties Of Functions
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Author : LawrenceCraig Evans
language : en
Publisher: Routledge
Release Date : 2018-04-27
Measure Theory And Fine Properties Of Functions written by LawrenceCraig Evans and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-27 with Mathematics categories.
This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space and emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in Mn, lower Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions and functions of bounded variation. The text provides complete proofs of many key results omitted from other books, including Besicovitch's Covering Theorem, Rademacher's Theorem (on the differentiability a.e. of Lipschitz functions), the Area and Coarea Formulas, the precise structure of Sobolev and BV functions, the precise structure of sets of finite perimeter, and Alexandro's Theorem (on the twice differentiability a.e. of convex functions). Topics are carefully selected and the proofs succinct, but complete, which makes this book ideal reading for applied mathematicians and graduate students in applied mathematics.
Measure And Integration Theory On Infinite Dimensional Spaces
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Author :
language : en
Publisher: Academic Press
Release Date : 1972-10-16
Measure And Integration Theory On Infinite Dimensional Spaces written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-10-16 with Mathematics categories.
Measure and Integration Theory on Infinite-Dimensional Spaces
An Introduction To Measure Theory
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Author : Terence Tao
language : en
Publisher:
Release Date : 2011
An Introduction To Measure Theory written by Terence Tao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with MATHEMATICS categories.
Measurement Theory For Engineers
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Author : Ilya Gertsbakh
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-05-21
Measurement Theory For Engineers written by Ilya Gertsbakh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-21 with Mathematics categories.
Well written textbook on industrial applications of Statistical Measurement Theory. It deals with the principal issues of measurement theory, is concise and intelligibly written, and to a wide extent self-contained. Difficult theoretical issues are separated from the mainstream presentation. Each topic starts with an informal introduction followed by an example, the rigorous problem formulation, solution method, and a detailed numerical solution. Chapter are concluded with a set of exercises of increasing difficulty, mostly with solutions. Knowledge of calculus and fundamental probability and statistics is assumed.