Download or read book Measurement Mathematics and New Quantification Theory written by Shizuhiko Nishisato and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to thoroughly prepare diverse areas of researchers in quantification theory. As is well known, quantification theory has attracted the attention of a countless number of researchers, some mathematically oriented and others not, but all of them are experts in their own disciplines. Quantifying non-quantitative (qualitative) data requires a variety of mathematical and statistical strategies, some of which are quite complicated. Unlike many books on quantification theory, the current book places more emphasis on preliminary requisites of mathematical tools than on details of quantification theory. As such, the book is primarily intended for readers whose specialty is outside mathematical sciences. The book was designed to offer non-mathematicians a variety of mathematical tools used in quantification theory in simple terms. Once all the preliminaries are fully discussed, quantification theory is then introduced in the last section as a simple application of those mathematical procedures fully discussed so far. The book opens up further frontiers of quantification theory as simple applications of basic mathematics.
Download or read book Measurement Mathematics and New Quantification Theory written by Shizuhiko Nishisato and published by Springer Nature. This book was released on 2023-06-12 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to thoroughly prepare diverse areas of researchers in quantification theory. As is well known, quantification theory has attracted the attention of a countless number of researchers, some mathematically oriented and others not, but all of them are experts in their own disciplines. Quantifying non-quantitative (qualitative) data requires a variety of mathematical and statistical strategies, some of which are quite complicated. Unlike many books on quantification theory, the current book places more emphasis on preliminary requisites of mathematical tools than on details of quantification theory. As such, the book is primarily intended for readers whose specialty is outside mathematical sciences. The book was designed to offer non-mathematicians a variety of mathematical tools used in quantification theory in simple terms. Once all the preliminaries are fully discussed, quantification theory is then introduced in the last section as a simple application of those mathematical procedures fully discussed so far. The book opens up further frontiers of quantification theory as simple applications of basic mathematics.
Download or read book QUALITY QUANTIFICATION THEORY written by Spiro V. Haxhi and published by Xlibris Corporation. This book was released on 2010-06-17 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the meaning of good? The word good, embodies a concept that enables me(everybody) to differentiate everything that surrounds me in life. Good is the quantity of the concept `s quality. The word quality has not a scientific definition .Everybody interpret this word according his mind (empirically). For the set of people the concept and the word quality dos not exist. The lack of scientific definition for the quality is the reason of: The political, economical and social sciences confusion and economic crises. In this book the reader will find the definition of the basic concepts of goods like: Goodness of goods (quality of goods), good goods (quality quantity of goods),etc. And the work concepts like: The work quality, the work quantity of quality, the work change..., goodtime of the work, the work goodtime quantity. The scientific definition and measurement of these concepts is base of a conceptual revolution on theory and practice of politic, economic and social life.
Download or read book Modern Quantification Theory written by Shizuhiko Nishisato and published by Springer Nature. This book was released on 2021-07-22 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new look at well-established quantification theory for categorical data, referred to by such names as correspondence analysis, dual scaling, optimal scaling, and homogeneity analysis. These multiple identities are a consequence of its large number of properties that allow one to analyze and visualize the strength of variable association in an optimal solution. The book contains modern quantification theory for analyzing the association between two and more categorical variables in a variety of applicative frameworks. Visualization has attracted much attention over the past decades and given rise to controversial opinions. One may consider variations of plotting systems used in the construction of the classic correspondence plot, the biplot, the Carroll-Green-Schaffer scaling, or a new approach in doubled multidimensional space as presented in the book. There are even arguments for no visualization at all. The purpose of this book therefore is to shed new light on time-honored graphical procedures with critical reviews, new ideas, and future directions as alternatives. This stimulating volume is written with fresh new ideas from the traditional framework and the contemporary points of view. It thus offers readers a deep understanding of the ever-evolving nature of quantification theory and its practice. Part I starts with illustrating contingency table analysis with traditional joint graphical displays (symmetric, non-symmetric) and the CGS scaling and then explores logically correct graphs in doubled Euclidean space for both row and column variables. Part II covers a variety of mathematical approaches to the biplot strategy in graphing a data structure, providing a useful source for this modern approach to graphical display. Part II is also concerned with a number of alternative approaches to the joint graphical display such as bimodal cluster analysis and other statistical problems relevant to quantification theory.
Download or read book Optimal Quantification and Symmetry written by Shizuhiko Nishisato and published by Springer Nature. This book was released on 2022-02-21 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique new look at the familiar quantification theory from the point of view of mathematical symmetry and spatial symmetry. Symmetry exists in many aspects of our life—for instance, in the arts and biology as an ingredient of beauty and equilibrium, and more importantly, for data analysis as an indispensable representation of functional optimality. This unique focus on symmetry clarifies the objectives of quantification theory and the demarcation of quantification space, something that has never caught the attention of researchers. Mathematical symmetry is well known, as can be inferred from Hirschfeld’s simultaneous linear regressions, but spatial symmetry has not been discussed before, except for what one may infer from Nishisato’s dual scaling. The focus on symmetry here clarifies the demarcation of quantification analysis and makes it easier to understand such a perennial problem as that of joint graphical display in quantification theory. The new framework will help advance the frontier of further developments of quantification theory. Many numerical examples are included to clarify the details of quantification theory, with a focus on symmetry as its operational principle. In this way, the book is useful not only for graduate students but also for researchers in diverse areas of data analysis.
Download or read book Quantification Theory written by J. A. Faris and published by Routledge. This book was released on 2019-10-30 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1964. This book is concerned with general arguments, by which is meant broadly arguments that rely for their force on the ideas expressed by all, every, any, some, none and other kindred words or phrases. A main object of quantificational logic is to provide methods for evaluating general arguments. To evaluate a general argument by these methods we must first express it in a standard form. Quantificational form is dealt with in chapter one and in part of chapter three; in the remainder of the book an account is given of methods by which arguments when formulated quantificationally may be tested for validity or invalidity. Some attention is also paid to the logic of identity and of definite descriptions. Throughout the book an attempt has been made to give a clear explanation of the concepts involved and the symbols used; in particular a step-by-step and partly mechanical method is developed for translating complicated statements of ordinary discourse into the appropriate quantificational formulae. Some elementary knowledge of truth-functional logic is presupposed.
Download or read book Quantification written by and published by Ardent Media. This book was released on with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantification Theory written by John Acheson Faris and published by . This book was released on 1966 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Measurement Theory and Practice written by David J. Hand and published by Wiley. This book was released on 2010-04-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a world of measurements. Measurements, be they of length, speed, weight, temperature, intelligence, income, endurance, greed, gross domestic product, quality of life, unemployment or skill at a job, are all numerical manifestations of the extent of some underlying attribute. They reflect the reality around us – length and weight provide examples of systems that represent clear physical attributes. At the same time, measurements also define the reality around us – psychometric tests and price inflation constitute both the definitions and the procedures for measuring these concepts. Altogether, measurements are central to our modern world and our view of it. This book explores the nature of measurement, investigating its different kinds, how these kinds should be interpreted, and the legitimacy of their statistical manipulation. The procedures through which numbers are assigned to objects are described, and measurement in psychology, medicine, the physical sciences, and the social sciences are examined in detail. The ideas of measurement are so ubiquitous that we often fail to notice them; they are concealed behind a veil of familiarity. This book lifts the corner of that veil and, in doing so, shows that there are aspects of the familiar world that are occasionally puzzling, sometimes downright extraordinary, and often more intriguing than is generally believed.
Download or read book Measurement and Probability written by Giovanni Battista Rossi and published by Springer. This book was released on 2014-05-19 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Measurement written by Karel Berka and published by Springer Science & Business Media. This book was released on 1983 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many years, Karel Berka has worked at some of the central problems of the theory of the sciences. At once a logician, a mathematician, a careful student of the physical sciences and the social sciences, and a sharp but sympathetic critic of the major philosophies of science in this century, Berka brings to this treatise on measurement both his technical mastery and his historical sensitivity. We appreciate his careful analysis of his predecessors, notably Helmholtz, Campbell, Holder, Bridgman, Camap, Hempel, and Stevens, and of his contemporaries such as Brian Ellis and also Patrick Suppes and J. L. Zinnes. The issues to be clarified are familiar but still troubling: how to justify the conceptual transition from classification to a metric; how to explore ways to provide a quantitative understanding of a qualitative concept; indeed how to understand, and thereby control, the Galilean enthusiasm "to measure what is measurable and to try to render measurable what is not so as yet".
Download or read book The Mathematics of Measurement written by John J. Roche and published by Springer Science & Business Media. This book was released on 1998-12-21 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Measurement is a historical survey of the introduction of mathematics to physics and of the branches of mathematics that were developed specifically for handling measurements, including dimensional analysis, error analysis, and the calculus of quantities.
Download or read book Measurement Quantification and Economic Analysis written by Ingrid H. Rima and published by Routledge. This book was released on 2002-09-11 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most economists assume that the mathematical and quantative sides of their science are relatively recent developments. Measurement, Quantification and Economic Analysis shows that this is a misconception. Its authors argue that economists have long relied on measurement and quantification as essential tools. However, problems have arisen in adapting these tools from other fields. Ultimately, the authors are sceptical about the role which measurement and quantification tools now play in contemporary economic theory.
Download or read book Reality and Measurement in Algebraic Quantum Theory written by Masanao Ozawa and published by Springer. This book was released on 2018-11-02 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on presentations at the “Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)”, held in Nagoya, Japan, in March 2015. The foundations of quantum theory have been a source of mysteries, puzzles, and confusions, and have encouraged innovations in mathematical languages to describe, analyze, and delineate this wonderland. Both ontological and epistemological questions about quantum reality and measurement have been placed in the center of the mysteries explored originally by Bohr, Heisenberg, Einstein, and Schrödinger. This volume describes how those traditional problems are nowadays explored from the most advanced perspectives. It includes new research results in quantum information theory, quantum measurement theory, information thermodynamics, operator algebraic and category theoretical foundations of quantum theory, and the interplay between experimental and theoretical investigations on the uncertainty principle. This book is suitable for a broad audience of mathematicians, theoretical and experimental physicists, and philosophers of science.
Download or read book Philosophical and Foundational Issues in Measurement Theory written by C. Wade Savage and published by Psychology Press. This book was released on 2013-06-17 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measurement theory has only recently become recognized as a legitimate, specialized field of inquiry. This text covers a wide range of issues of central concern to contemporary measurement theorists, and a broad range of philosophical perspectives are represented. The formalist, representationalist approach defines measurement as the assignment of numbers to entities and events to represent their properties and relations. It also states that measurement theory is supposed to analyze the concept of a scale of measurement, describe various types of scales and their uses, and formulate the conditions required for the existence of scales of various types. Since this approach dominates contemporary measurement theory, the volume begins with essays by some of its leading architects. In order to allow for diverse points of view, the book also includes articles that attempt to broaden this approach, and several that even criticize the approach.
Download or read book Patterns of Discovery in the Social Sciences written by Paul Diesing and published by Routledge. This book was released on 2017-07-05 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Social scientists are often vexed because their work does not satisfy the criteria of "scientific" methodology developed by philosophers of science and logicians who use the natural sciences as their model. In this study, Paul Diesing defines science not by reference to these arbitrary norms delineated by those outside the field but in terms of norms implicit in what social scientists actually do in their everyday work.
Download or read book Two Recently Proposed Proof Procedures for Quantification Theory written by Harry J. Pinto (Jr) and published by . This book was released on 1961 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
