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Comparison of two types of multidimensional scaling methods

Minimum dimension analysis MDA-OR and MDA-UO

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References

  1. Hayashi, C. (1952). On the prediction of phenomena from qualitative data and the quantification of qualitative data from the mathematico-statistical point of view.Ann. Inst. Statist. Math.,2, 93–96.

    MATH  Google Scholar 

  2. Hayashi, C. (1964, 1967). Multidimensional quantification of the data obtained by the method of paired comparison, and its Note,Ann. Inst. Statist. Math.,16, 231–245;19, 363–365.

    Article  MathSciNet  Google Scholar 

  3. Hayashi, C. (1969). Distance and dimension from the statistical point of view (in Japanese),Marketing Research (Marketing Center Co.),1, 26–34.

    Google Scholar 

  4. Hayashi, C., Higuti, I. and Komazawa, T. (1970).Information processing and statistical mathematics (in Japanese), Sangyo Tosho press, 273–289.

  5. Hayashi, C. (1972). Two dimensional quantification based on the measure of dissimilarity among three elements,Ann. Inst. Statist. Math.,24, 251–257.

    Article  MathSciNet  Google Scholar 

  6. Hayashi, C. (1974). Minimum dimension analysis MDA.Behaviormetrika,1, 1–24.

    Article  Google Scholar 

  7. Hayashi, C. (1976). Minimum dimension analysis, MDA-OR and MDA-UO,Essays in Probability and Statistics (ed. by S. Ikeda and others), Shinko Tsusho Co. Ltd., 395–412. This paper was originally published at the U.S.-Japan Seminar on “Theory, Methods and Applications of Multidimensionally Scaling and Related Topics”, held at the Univ. of Calif. San Diego in August 20–24, 1975.

  8. Takane, Y., Young, F. W. and de Leeuw, J. (1977). Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features,Psychometrika,1, 7–68.

    Article  Google Scholar 

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The Institute of Statistical Mathematics

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Hayashi, C., Hayashi, F. Comparison of two types of multidimensional scaling methods. Ann Inst Stat Math 30, 199–209 (1978). https://doi.org/10.1007/BF02480214

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  • DOI: https://doi.org/10.1007/BF02480214

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