Volume 39 Issue 10
Oct.  2013
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Shangguan Liying, Wang Huiwen. Fisher discriminant method for multiple compositional-data variables in simplex space[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(10): 1376-1380,1391. (in Chinese)
Citation: Shangguan Liying, Wang Huiwen. Fisher discriminant method for multiple compositional-data variables in simplex space[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(10): 1376-1380,1391. (in Chinese)

Fisher discriminant method for multiple compositional-data variables in simplex space

  • Received Date: 19 Dec 2012
  • Publish Date: 30 Oct 2013
  • As foundation work, the algebra operations of compositional-data vector were investigated,based on the algorithms of compositional data in simplex space. Further, according to traditional method, Fisher discriminant analysis(FDA) on multiple compositional-data variables was proposed. The novel method built the linear discriminant function based on the operations of compositional-data vectors. And the discriminant rule on compositional-data variables was investigated with the theory of distance discriminant analysis. The sample can be classified according to the distances between the projective point of a sample for discrimination and that of the cluster centers. Both simulation results and application analysis show the usefulness of the proposed methods. The algebra system of compositional-data vectors lays the foundation for extending the other multivariate statistical method to multiple compositional-data variables.

     

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