Contribution Ratio of Reduced Contingency Table after Clustering

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  • 二元分割表における群分け後の縮約分割表の寄与率
  • ニゲン ブンカツヒョウ ニ オケル グン ワケ ゴ ノ シュクヤク ブンカツヒョウ ノ キヨリツ

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Abstract

For the analysis of two-way contingency table with large number of rows and columns, correspondence analysis and clustering of rows and/or columns based on chi-square distance are frequently used in practice. In this short article, it is shown that the ratio of chi-square statistics of the original contingency table and a reduced table after clustering can be interpreted as the contribution ratio of the reduced table. In this note, the relationship between the chi-square statistic and correspondence analysis is effectively used.

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