Welcome to the first page of an introduction to Asymmetric Structure

　In this page we shall give an introduction to the theories and methods of asymmetric multidimensional scaling (abbreviated hereafter as asymmetric MDS) for the analysis of asymmetric similarity matrices (abbreviated as ASMs) which have been developed in psychometrics since the late 1970's. In Chapter 1 we shall introduce these theories and methods according to Chino (2008). In chapters 2 to 4, we shall introduce three theories and methods for asymmetric MDS, which are mutually related to one another, proposed by Chino and his colleague, the late K. Shiraiwa. In chapter 2 we shall briefly review Chino's ASYMSCAL proposed by Chino (1978). In Chapter 3 we shall glance over GIPSCAL proposed by Chino (1990). In Chapter 4 we shall have a brief survey of the Hermitian Form Model (abbreviated as HFM) proposed by Chino and Shiraiwa (1993). In Chapter 5 we shall look through ASYMMAXSCAL which was proposed by Chino and his colleague, S. Saburi, in 2008. In Chapter 6 we shall discuss how to use HFM, mainly according to Chino (2020a), and provide a MATLAB code for analyzing ASM by HFM. In Chapter 7 we shall discuss the relation between asymmetric MDS in pscychometrics and embeddings of graphs in cognitive science.

This page has been opened since May 24, 2020.
This page was revised on May 25, 2020.