Author: Shizuhiko Nishisato
Publisher: Springer Nature
ISBN: 9811624704
Category : Social Science
Languages : en
Pages : 231
Book Description
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.
Modern Quantification Theory
Measurement, Mathematics and New Quantification Theory
Author: Shizuhiko Nishisato
Publisher: Springer Nature
ISBN: 981992295X
Category : Mathematics
Languages : en
Pages : 214
Book Description
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.
Publisher: Springer Nature
ISBN: 981992295X
Category : Mathematics
Languages : en
Pages : 214
Book Description
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.
Quantification Theory
Author: J. A. Faris
Publisher: Routledge
ISBN: 1000735524
Category : Philosophy
Languages : en
Pages : 160
Book Description
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.
Publisher: Routledge
ISBN: 1000735524
Category : Philosophy
Languages : en
Pages : 160
Book Description
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.
QUALITY QUANTIFICATION THEORY
Author: Spiro V. Haxhi
Publisher: Xlibris Corporation
ISBN: 1477167242
Category : Philosophy
Languages : en
Pages : 49
Book Description
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.
Publisher: Xlibris Corporation
ISBN: 1477167242
Category : Philosophy
Languages : en
Pages : 49
Book Description
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.
Quantification in the Theory of Grammar
Author: Taisuke Nishigauchi
Publisher: Springer Science & Business Media
ISBN: 9400919727
Category : Language Arts & Disciplines
Languages : en
Pages : 251
Book Description
In the past few decades, the development of theoretical linguistics has proved to be successful in shedding light on the intricate nature of language and knowledge of grammar, which contributes to a deeper understanding of the human mind. This book discusses various issues in syntax and logical structure of natural language from theoretical perspectives. The primary data on which theoretical claims are made is drawn from Japanese and Japanese-type languages, but it also contains discussion of related phenomena in English which have never been discussed from the same viewpoint in the current literature. Although the book is written in the format of a version of the Extended Standard Theory tradition, informally referred to as the Principles and Parameters Approach or 'Government and Binding (OB) Theory', it should be of interest to a much wider audience. The reader interested in other theoretical frameworks will find the discussion in this book easily translatable in the framework of his or her choice - in fact, I would like to claim that the problems posed by this book are inevitable in any theory of syntax and semantics of natural language.
Publisher: Springer Science & Business Media
ISBN: 9400919727
Category : Language Arts & Disciplines
Languages : en
Pages : 251
Book Description
In the past few decades, the development of theoretical linguistics has proved to be successful in shedding light on the intricate nature of language and knowledge of grammar, which contributes to a deeper understanding of the human mind. This book discusses various issues in syntax and logical structure of natural language from theoretical perspectives. The primary data on which theoretical claims are made is drawn from Japanese and Japanese-type languages, but it also contains discussion of related phenomena in English which have never been discussed from the same viewpoint in the current literature. Although the book is written in the format of a version of the Extended Standard Theory tradition, informally referred to as the Principles and Parameters Approach or 'Government and Binding (OB) Theory', it should be of interest to a much wider audience. The reader interested in other theoretical frameworks will find the discussion in this book easily translatable in the framework of his or her choice - in fact, I would like to claim that the problems posed by this book are inevitable in any theory of syntax and semantics of natural language.
Quantification Theory
Author: John Acheson Faris
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 168
Book Description
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 168
Book Description
Uncertainty Quantification
Author: Ralph C. Smith
Publisher: SIAM
ISBN: 161197321X
Category : Computers
Languages : en
Pages : 400
Book Description
The field of uncertainty quantification is evolving rapidly because of increasing emphasis on models that require quantified uncertainties for large-scale applications, novel algorithm development, and new computational architectures that facilitate implementation of these algorithms. Uncertainty Quantification: Theory, Implementation, and Applications provides readers with the basic concepts, theory, and algorithms necessary to quantify input and response uncertainties for simulation models arising in a broad range of disciplines. The book begins with a detailed discussion of applications where uncertainty quantification is critical for both scientific understanding and policy. It then covers concepts from probability and statistics, parameter selection techniques, frequentist and Bayesian model calibration, propagation of uncertainties, quantification of model discrepancy, surrogate model construction, and local and global sensitivity analysis. The author maintains a complementary web page where readers can find data used in the exercises and other supplementary material.
Publisher: SIAM
ISBN: 161197321X
Category : Computers
Languages : en
Pages : 400
Book Description
The field of uncertainty quantification is evolving rapidly because of increasing emphasis on models that require quantified uncertainties for large-scale applications, novel algorithm development, and new computational architectures that facilitate implementation of these algorithms. Uncertainty Quantification: Theory, Implementation, and Applications provides readers with the basic concepts, theory, and algorithms necessary to quantify input and response uncertainties for simulation models arising in a broad range of disciplines. The book begins with a detailed discussion of applications where uncertainty quantification is critical for both scientific understanding and policy. It then covers concepts from probability and statistics, parameter selection techniques, frequentist and Bayesian model calibration, propagation of uncertainties, quantification of model discrepancy, surrogate model construction, and local and global sensitivity analysis. The author maintains a complementary web page where readers can find data used in the exercises and other supplementary material.
Recurrence Quantification Analysis
Author: Charles L. Webber, Jr.
Publisher: Springer
ISBN: 3319071556
Category : Science
Languages : en
Pages : 426
Book Description
The analysis of recurrences in dynamical systems by using recurrence plots and their quantification is still an emerging field. Over the past decades recurrence plots have proven to be valuable data visualization and analysis tools in the theoretical study of complex, time-varying dynamical systems as well as in various applications in biology, neuroscience, kinesiology, psychology, physiology, engineering, physics, geosciences, linguistics, finance, economics, and other disciplines. This multi-authored book intends to comprehensively introduce and showcase recent advances as well as established best practices concerning both theoretical and practical aspects of recurrence plot based analysis. Edited and authored by leading researcher in the field, the various chapters address an interdisciplinary readership, ranging from theoretical physicists to application-oriented scientists in all data-providing disciplines.
Publisher: Springer
ISBN: 3319071556
Category : Science
Languages : en
Pages : 426
Book Description
The analysis of recurrences in dynamical systems by using recurrence plots and their quantification is still an emerging field. Over the past decades recurrence plots have proven to be valuable data visualization and analysis tools in the theoretical study of complex, time-varying dynamical systems as well as in various applications in biology, neuroscience, kinesiology, psychology, physiology, engineering, physics, geosciences, linguistics, finance, economics, and other disciplines. This multi-authored book intends to comprehensively introduce and showcase recent advances as well as established best practices concerning both theoretical and practical aspects of recurrence plot based analysis. Edited and authored by leading researcher in the field, the various chapters address an interdisciplinary readership, ranging from theoretical physicists to application-oriented scientists in all data-providing disciplines.
Measurement Theory and Practice
Author: David J. Hand
Publisher: Wiley
ISBN: 9780470685679
Category : Science
Languages : en
Pages : 0
Book Description
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.
Publisher: Wiley
ISBN: 9780470685679
Category : Science
Languages : en
Pages : 0
Book Description
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.
Theories and Things
Author: Willard Van Orman Quine
Publisher: Harvard University Press
ISBN: 9780674879263
Category : Fiction
Languages : en
Pages : 236
Book Description
Here are the most recent writings, some of them unpublished, of the preeminent philosopher of our time. Quine is always, whatever his subject, an elegant writer, witty, precise, and forceful. Admirers of his earlier books will welcome this new volume.
Publisher: Harvard University Press
ISBN: 9780674879263
Category : Fiction
Languages : en
Pages : 236
Book Description
Here are the most recent writings, some of them unpublished, of the preeminent philosopher of our time. Quine is always, whatever his subject, an elegant writer, witty, precise, and forceful. Admirers of his earlier books will welcome this new volume.