Measurement, Mathematics and New Quantification Theory

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.

Examines thoroughly the most fundamentally important topic of measurement: data for analysis Discusses the mathematics needed to convert non-quantitative data to quantitative data for non-mathematicians Provides a full explanation, with illustrative examples, of the jump from non-quantitative data to quantitative results

Auteur
Shizuhiko Nishisato is Professor Emeritus, University of Toronto.

Contenu
Information for Analysis.- Data Analysis and Likert Scale.- Preliminaries.- Matrix Calculus.- Statistics in Matrix Notation.- Multidimensional Space.