Hu Chunyan,Hu Liangping,Reasonably carry out multivariate analysis: principal component analysis[J].SICHUAN MENTAL HEALTH,2023,36(S1):48-54 |
Reasonably carry out multivariate analysis: principal component analysis |
DOI:10.11886/scjsws20230605001 |
English keywords:Eigenvalue Eigenvector Principal component analysis Sample clustering Sample sorting |
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English abstract: |
The purpose of this article was to introduce the basic concepts, calculation methods, two examples and SAS implementation related to the principal component analysis. Basic concepts included correlation matrix, eigenvalues and eigenvectors, principal component variables, principal component expressions and principal component properties. The calculation method involved the calculation of eigenvalues and eigenvectors, the calculation principle and the coefficient estimation and the number determination of the principal component. The data in the two examples were measurement results of 4 liver function indicators in 20 patients with liver disease and survey results of literature metrology indicators in 23 tumor journals.With the help of SAS software, the principal component analysis was carried out on the quantitative data in the two cases, and based on the calculation results of the principal components, the sample clustering and sample sorting were respectively realized, and a reasonable explanation was given for the output results. |
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