Measurement Mathematics And New Quantification Theory
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| Author | : Shizuhiko Nishisato |
| Publisher | : Springer Nature |
| Total Pages | : 214 |
| Release | : 2023-06-12 |
| Genre | : Mathematics |
| ISBN | : 981992295X |
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.
| Author | : |
| Publisher | : Ardent Media |
| Total Pages | : 240 |
| Release | : 1992 |
| Genre | : |
| ISBN | : |
| Author | : Shizuhiko Nishisato |
| Publisher | : Springer Nature |
| Total Pages | : 199 |
| Release | : 2022-02-21 |
| Genre | : Mathematics |
| ISBN | : 9811691703 |
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.
| Author | : Paul Krabbe |
| Publisher | : Academic Press |
| Total Pages | : 382 |
| Release | : 2016-10-07 |
| Genre | : Medical |
| ISBN | : 0128017201 |
The Measurement of Health and Health Status: Concepts, Methods and Applications from a Multidisciplinary Perspective presents a unifying perspective on how to select the best measurement framework for any situation. Serving as a one-stop shop that unifies material currently available in various locations, this book illuminates the intuition behind each method, explaining how each method has special purposes, what developments are occurring, and how new combinations among methods might be relevant to specific situations. It especially emphasizes the measurement of health and health states (quality-of-life), giving significant attention to newly developed methods. The book introduces technically complex, new methods for both introductory and technically-proficient readers. - Assumes that the best measure depends entirely on the situation - Covers preference-based methods, classical test theory, and item response theory - Features illustrations and animations drawn from diverse fields and disciplines
| Author | : Alfred W. Crosby |
| Publisher | : Cambridge University Press |
| Total Pages | : 268 |
| Release | : 1997-12-13 |
| Genre | : History |
| ISBN | : 9780521639903 |
This 1997 book discusses the shift to quantitative perception which made modern science, technology, business practice and bureaucracy possible.
| Author | : |
| Publisher | : CUP Archive |
| Total Pages | : 240 |
| Release | : |
| Genre | : |
| ISBN | : |
| Author | : John J. Roche |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 364 |
| Release | : 1998-12-21 |
| Genre | : Mathematics |
| ISBN | : 9780387915814 |
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.
| Author | : Gülseren Karagöz Akar |
| Publisher | : Springer Nature |
| Total Pages | : 343 |
| Release | : 2023-01-01 |
| Genre | : Education |
| ISBN | : 3031145534 |
This book focuses on quantitative reasoning as an orienting framework to analyse learning, teaching and curriculum in mathematics and science education. Quantitative reasoning plays a vital role in learning concepts foundational to arithmetic, algebra, calculus, geometry, trigonometry and other ideas in STEM. The book draws upon the importance of quantitative reasoning and its crucial role in education. It particularly delves into quantitative reasoning related to the learning and teaching diverse mathematics and science concepts, conceptual analysis of mathematical and scientific ideas and analysis of school mathematics (K-16) curricula in different contexts. We believe that it can be considered as a reference book to be used by researchers, teacher educators, curriculum developers and pre- and in-service teachers.
| Author | : Akinori Okada |
| Publisher | : Springer Nature |
| Total Pages | : 335 |
| Release | : 2023-09-17 |
| Genre | : Mathematics |
| ISBN | : 9819922402 |
This edited book is the first one written in English that deals comprehensively with behavior metrics. The term “behaviormetrics” comprehends the research including all sorts of quantitative approaches to disclose human behavior. Researchers in behavior metrics have developed, extended, and improved methods such as multivariate statistical analysis, survey methods, cluster analysis, machine learning, multidimensional scaling, corresponding analysis or quantification theory, network analysis, clustering, factor analysis, test theory, and related factors. In the spirit of behavior metrics, researchers applied these methods to data obtained by surveys, experiments, or websites from a diverse range of fields. The purpose of this book is twofold. One is to represent studies that display how the basic elements of behavior metrics have developed into present-day behavior metrics. The other is to represent studies performed mainly by those who would like to pioneer new fields of behavior metrics and studies that display elements of future behavior metrics. These studies consist of various characteristics such as those dealing with theoretical or conceptual subjects, the algorithm, the model, the method, and the application to a wide variety of fields. This book helps readers to understand the present and future of behavior metrics.
| Author | : Simone Guidi |
| Publisher | : Springer Nature |
| Total Pages | : 326 |
| Release | : 2023-11-10 |
| Genre | : History |
| ISBN | : 3031157257 |
This edited volume explores the intersection of medicine and philosophy throughout history, calling attention to the role of quantification in understanding the medical body. Retracing current trends and debates to examine the quantification of the body throughout the early modern, modern and early contemporary age, the authors contextualise important issues of both medical and philosophical significance, with chapters focusing on the quantification of temperaments and fluids, complexions, functions of the living body, embryology, and the impact of quantified reasoning on the concepts of health and illness. With insights spanning from the sixteenth century to the nineteenth century, this book provides a wide-ranging overview of attempts to ‘quantify’ the human body at various points. Arguing that medicine and philosophy have been constantly in dialogue with each other, the authors discuss how this provided a strategic opportunity both for medical thought and philosophy to refine and further develop. Given today’s fascination with the quantification of the body, represented by the growing profusion of self-tracking devices logging one’s sleep, diet or mood, this collection offers an important and timely contribution to an emerging and interdisciplinary field of study.
