The biplot graphic display of matrices with application to principal component analysis

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ID: 290235
1971
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Abstract
Any matrix of rank two can be displayed as a biplot which consists of a vector for each row and a vector for each column, chosen so that any element of the matrix is exactly the inner product of the vectors corresponding to its row and to its column. If a matrix is of higher rank, one may display it approximately by a biplot of a matrix of rank two which approximates the original matrix. The biplot provides a useful tool of data analysis and allows the visual appraisal of the structure of large data matrices. It is especially revealing in principal component analysis, where the biplot can show inter-unit distances and indicate clustering of units as well as display variances and correlations of the variables.
Reference Key
openalex_W2104146802 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors K. R. Gabriel
Journal jurnal biometrika dan kependudukan
Year 1971
DOI
10.1093/biomet/58.3.453
URL
https://doi.org/10.1093/biomet/58.3.453
Keywords Keywords not found

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