Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Partial Quantification in Principal Component Analysis

  • Hye Sun Suh (Postdoctoral Researcher, Institute of Statistics, Korea University, Seoul 136-701, Korea) ;
  • Myung Hoe Huh (Dept. of Statistics, Korea University, Anam-dong 5-1, Seoul 136-701, Korea)
  • Published : 1997.12.01
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Abstract

Sometimes, the first principal component may come logically from the established knowledge and premises. For example, for the high school students' test scores of Korean, English, Mathematics, Social Study, and Science, it is natural to define the first principal component as the average of all subject scores. In such cases, we need to respect both the background knowledge and the data exploration. The aim of this study is to find the remaining components in principal component analysis of multivariate data when the first principal component is defined a priori by the researcher. Moreover, we study related matrix decomposition and their application to the graphical display.

Keywords

References

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  7. Unpublished Doctoral Thesis, Dept. of Statistics, Korea University Three Aspects of Statistical Methods for Social Research Suh, H. S.