統計数理研究所共同利用研究 (一般研究2) 研究集会「質的データ分析への再接近5-基本理解と周辺理論-」

Date&Time

2019年3月4日(月)
/ 4 March, 2019 (Mon) 10:00 - 17:30

Admission Free,No Booking Necessary

Place

統計数理研究所 セミナー室2 (3階 D304)
/ Seminar room2 (3rd floor D304) @ The Institute of Statistical Mathematics

Organizer

Yuichi Mori (Okayama University of Science)

Speaker

Dr. Rosaria Lombardo (University of Campania "Luigi Vanvitelli", Italy)

Program

10:00-12:00
Lecture 1
"Symmetrical and Non-symmetrical Simple Correspondence Analysis"

13:30-15:30
Lecture 2
"Ordered Variants of Simple Correspondence Analysis"

15:45-17:15
Lecture 3
"Multiple Correspondence Analysis and its variants"

17:15-17:30
Discussion

Abstract

This tutorial is an introduction to simple and multiple Correspondence Analysis (CA) to analyse categorical data.
After reviewing the main contributions of CA literature, we illustrate some methods of quantification of CA, which can also justify the different names with which CA is known in the world.
A brief overview of the different ways of data visualization and its appropriateness (dimension number) for assessing data association will be given.
Further, some intriguing variants of simple CA will be illustrated, discussing the symmetric/asymmetric variable relationship, and highlighting the nominal and/or ordinal variables of the analysis.
Finally, the case of multiple and multi-way frequency tables will be considered to study variable association. In particular you will see Multiple Correspondence Analysis using indicator or Burt table, Joint CA and at last (but not least), three-way CA which allows a partitioning of variable interactions.
Different data examples, well known in literature, and results will be presented and discussed.