introduction to measurement theory

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Introduction To Measurement Theory

Author : Mary J. Allen
ISBN : 9781478607700
Genre : Psychology
File Size : 29. 44 MB
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Introduction to Measurement Theory bridges the gap between texts that offer a mathematically rigorous treatment of the statistical properties of measurement and ones that discuss the topic in a basic, cookbook fashion. Without overwhelming novices or boring the more mathematically sophisticated, the authors effectively cover the construction of psychological tests and the interpretation of test scores and scales; critically examine classical true-score theory; and explain theoretical assumptions and modern measurement models, controversies, and developments. Practical applications, examples, and study questions facilitate a better understanding of the uses and limitations of common measures of test reliability and validity and how to perform the basic item analysis necessary for test construction.

Experimentation

Author : David Carr Baird
ISBN : UOM:39015001313579
Genre : Experimental design
File Size : 23. 91 MB
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Introduction To Measure Theory

Author : Gearoid De Barra
ISBN : UOM:39015015687380
Genre : Mathematics
File Size : 58. 16 MB
Format : PDF
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Introduction To Measure Theory And Integration

Author : Luigi Ambrosio
ISBN : 9788876423864
Genre : Mathematics
File Size : 61. 15 MB
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This textbook collects the notes for an introductory course in measure theory and integration. The course was taught by the authors to undergraduate students of the Scuola Normale Superiore, in the years 2000-2011. The goal of the course was to present, in a quick but rigorous way, the modern point of view on measure theory and integration, putting Lebesgue's Euclidean space theory into a more general context and presenting the basic applications to Fourier series, calculus and real analysis. The text can also pave the way to more advanced courses in probability, stochastic processes or geometric measure theory. Prerequisites for the book are a basic knowledge of calculus in one and several variables, metric spaces and linear algebra. All results presented here, as well as their proofs, are classical. The authors claim some originality only in the presentation and in the choice of the exercises. Detailed solutions to the exercises are provided in the final part of the book.

An Introduction To Measure Theory

Author : Terence Tao
ISBN : 9780821869192
Genre : Mathematics
File Size : 87. 52 MB
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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 Caratheodory 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.

Experimentation

Author : David Carr Baird
ISBN : UOM:39015032193800
Genre : Science
File Size : 79. 27 MB
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A supplement to all introductory physics courses which have a strong lab component. The ever-increasing use of the computer as a tool for data analysis and acquisition has not eliminated the need for a grounding, sound experimentation design, Baird continues to emphasize the fundamentals of experimentation with added consideration for the power of new technology.

Measurement Theory For Engineers

Author : Ilya Gertsbakh
ISBN : 9783662085837
Genre : Mathematics
File Size : 65. 73 MB
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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.

Introduction To Measure Theory

Author : G. G. Lorentz
ISBN : STANFORD:36105046455585
Genre : Mathematics
File Size : 64. 45 MB
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Introduction To Measure Theory And Functional Analysis

Author : Piermarco Cannarsa
ISBN : 9783319170190
Genre : Mathematics
File Size : 54. 25 MB
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This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures. This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra.

Ma Und Integrationstheorie

Author : J. Elstrodt
ISBN : 9783662085271
Genre : Mathematics
File Size : 43. 53 MB
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