An objective general index for multivariate ordered data

  title={An objective general index for multivariate ordered data},
  author={Tomonari Sei},
  journal={J. Multivariate Analysis},
A multivariate quantitative data is often summarized into a general index as a weighted sum when each variate has a prescribed order. Although the sum of standardized scores is a sensible choice of index, it may have negative correlation with some of the variates. In this paper, a general index that has positive correlation with all the variates is constructed. The index is applied to study the fairness of decathlon scoring. Quantification of ordered categorical data is also discussed. The… CONTINUE READING

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Showing 1-10 of 15 references

A theorem of the alternative for multihomogeneous functions and its relationship to diagonal scaling of matrices

  • Kalantari
  • Gröbner Bases : Statistics and Software Systems
  • 2013


  • T. Hibi
  • Gröbner Bases: Statistics and Software Systems…
  • 2013

Academic quality

  • D. D. Dill, M. Soo
  • league tables, and public policy: a crossnational…
  • 2005

An analysis of decathlon data

  • T. F. Cox, R. T. Dunn
  • J. Roy. Statist. Soc., Ser. D, 51(2):179–187
  • 2002
1 Excerpt

A method of optimal scaling for multivariate ordinal data and its extensions

  • T. Saito, T. Otsu
  • Psychometrika, 53(1):5–25
  • 1988
1 Excerpt

Positive definite doubly stochastic matrices and extreme points

  • J.P.R. Christensen, P. Fischer
  • Linear Algebra Appl., 82:123–132
  • 1986

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