Skip to main content
SpringerLink
Log in

One-Mode Three-Way Analysis Based on Result of One-Mode Two-Way Analysis

  • Conference paper
  • First Online:
Book cover Algorithms from and for Nature and Life

Abstract

Several analysis models for proximity data have been introduced. While most of them were for one-mode two-way data, some analysis models which are able to analyze one-mode three-way data have been suggested in recent years. One-mode three-way multidimensional scaling and overlapping cluster analysis models were suggested. Furthermore, several studies were done for comparison between the results of analyses by one-mode two-way and by one-mode three-way data, where both of them are generated from the same source of data. In the present study, the authors suggest the analysis of one-mode three-way data based on one-mode two-way analysis for overlapping clusters. To evaluate the necessity of one-mode three-way analysis, firstly one-mode three-way data are reconstructed from the clusters and weights obtained by one-mode two-way overlapping cluster analysis. Secondly the reconstructed one-mode three-way data are subtracted from original one-mode three-way data. The subtracted data were analyzed by one-mode three-way overlapping cluster analysis model. The result of analysis discloses the components of proximities which can be expressed by one-mode three-way analysis but not by one-mode two-way analysis.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Arabie, P., & Carroll, J. D. (1980). Mapclus: A mathematical programming approach to fitting the ADCLUS model. Psychometrika, 45, 211–235.

    Article  MATH  Google Scholar 

  • De Rooij, M., & Heiser, W. J. (2000). Triadic distance models for the analysis of asymmetric three-way proximity data. British Journal of Mathematical and Statistical Psychology, 53, 99–119.

    Article  MathSciNet  Google Scholar 

  • Nakayama, A. (2005). A multidimensional scaling model for three-way data analysis. Behaviormetrika, 32, 95–110.

    Article  MathSciNet  MATH  Google Scholar 

  • Shepard, R. N., & Arabie, P. (1979). Additive clustering: Representation of similarities as combinations of discrete overlapping properties. Psychological Review, 86, 87–123.

    Article  Google Scholar 

  • Yokoyama, S., Nakayama, A., & Okada, A. (2009). One-mode three-way overlapping cluster analysis. Computational Statistics, 24, 165–179.

    Article  MathSciNet  MATH  Google Scholar 

  • Yokoyama, S., Nakayama, A., & Okada, A. (2010). An application of one-mode three-way overlapping cluster analysis. In L. J. Hermann & W. Claus (Eds.), Classification as a tool for research (pp. 193–200). Berlin: Springer.

    Chapter  Google Scholar 

  • Yokoyama, S., & Okada, A. (2010a). Consideration about the necessity of one-mode three-way data analysis. In Proceedings of the 26th meeting of the Japanese classification society (in Japanese), Fukuoka (pp. 13–14).

    Google Scholar 

  • Yokoyama, S., & Okada, A. (2010b). A study on the necessity of analysis in one-mode proximity data. Proceedings of the 34th annual conference of the German classification society, Karlsruhe (p. 197).

    Google Scholar 

  • Yokoyama, S., & Okada, A. (2010c): External analysis of overlapping cluster analysis. Proceedings of the 28th meeting of the Japanese classification society (in Japanese), Tokyo (pp. 13–14).

    Google Scholar 

  • Yokoyama, S., & Okada, A. (2011a): External analysis of POS data. Proceedings of the 29th Meeting of the Japanese Classification Society (in Japanese), Kyoto (pp. 11–12).

    Google Scholar 

  • Yokoyama, S., & Okada, A. (2011b). A study on the necessity of one-mode three-way analysis. The Teikyo University Economic Review, 45, 143–150.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Business Administration, Faculty of Economics, Teikyo University, Tokyo, Japan

    Satoru Yokoyama

  2. Graduate School of Management and Information Sciences, Tama University, Tama, Tokyo, Japan

    Akinori Okada

Authors
  1. Satoru Yokoyama
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Akinori Okada
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Satoru Yokoyama .

Editor information

Editors and Affiliations

  1. University of Essex Department of Mathematical Sciences, Colchester, United Kingdom

    Berthold Lausen

  2. Ghent University Department of Marketing, Ghent, Belgium

    Dirk Van den Poel

  3. University of Marburg Databionics, FB 12, Marburg, Germany

    Alfred Ultsch

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer International Publishing Switzerland

About this paper

Cite this paper

Yokoyama, S., Okada, A. (2013). One-Mode Three-Way Analysis Based on Result of One-Mode Two-Way Analysis. In: Lausen, B., Van den Poel, D., Ultsch, A. (eds) Algorithms from and for Nature and Life. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Cham. https://doi.org/10.1007/978-3-319-00035-0_19

Download citation

Publish with us

Policies and ethics

Search

Navigation