Textbook in PDF format

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.
Measurement
Information for Analysis
Data Analysis and Likert Scale
Mathematics
Preliminaries
Matrix Calculus
Statistics in Matrix Notation
Multidimensional Space
A New Look at Quantification Theory
General Introduction
Geometry of Space: A New Look
Two-Stage Quantification: A New Look
Joint Graphical Display
Beyond the Current Book