Journal of The Japanese Society for Quality Control
Online ISSN : 2432-1044
Print ISSN : 0386-8230
Technical Research Paper
Contribution Ratio of Reduced Contingency Table after Clustering
Masami MIYAKAWA
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2021 Volume 51 Issue 4 Pages 305-308

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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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