Exploratory data analysis for Hayashi’s quantification method III by graphics

  • Tsutomu Komazawa
  • Takahiro Tsuchiya
Conference paper
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)


This paper gives an illustration of exploratory data analysis with Hayashi’s Quantification Method III using graphics (hereafter we abbreviate this method as HQM III). It is shown that artificial data sets with ordinal structures can be expressed on the surface of a torus, and it is also pointed out that the torus suggests the results of HQM III. Some applications of HQM III to medical data using the graphical configuration are reported.


Exploratory Data Analysis Artificial Data Torus Model Circular Model Round Ball 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Arai, C., Komazawa, T., et al. (1984): The effect of hypoxanthine riboside on integral value % for various hemodynamic parameters under upright treadmill exercise. The Journal of Japanese College of Angiology, 24, 1, 75–81 (in Japanese) and 90 (abstract in English).Google Scholar
  2. Guttman, L. (1950): The principal components of scale analysis. Measurement and Prediction, Stouffer, S. A. et al. (eds.), 312–361, Wiley, New York.Google Scholar
  3. Hayashi, C. (1956): Theory and examples of quantification, II. Proc. of ISM, 4, 1, 19–30 (in Japanese).Google Scholar
  4. Iwatsubo, S. (1987): The Foundation of Quantification Method. Asakura-shoten, Tokyo (in Japanese).Google Scholar
  5. Komazawa, T. and Tsuchiya, T. (1995): Exploratory data analysis for Hayashi’s quantification method III by graphics: Its application of ordinal structure analysis to ninth nationwide survey of the Japanese national charactor. Proc. of ISM, 43, 1, 161–176 (in Japanese).Google Scholar

Copyright information

© Springer Japan 1998

Authors and Affiliations

  • Tsutomu Komazawa
    • 1
  • Takahiro Tsuchiya
    • 1
  1. 1.The Institute of Statistical MathematicsMinato-ku Tokyo 106Japan

Personalised recommendations