Jolliffe I. Principal Component Analysis (2ed., Springer, 2002)(518s)
Jolliffe I. Principal Component Analysis (2ed., Springer, 2002)(518s) Jolliffe I. Principal Component Analysis (2ed., Springer, 2002)(518s)
List of Tables3.1 Correlations and standard deviations for eight bloodchemistry variables. ..................... 403.2 Principal components based on the correlation matrix foreight blood chemistry variables. .............. 413.3 Principal components based on the covariance matrix foreight blood chemistry variables. .............. 413.4 Correlation matrix for ten variables measuring reflexes. . 583.5 Principal components based on the correlation matrix ofTable3.4 ........................... 594.1 First three PCs: student anatomical measurements. . . . 654.2 Simplified version of the coefficients in Table 4.1. ..... 664.3 Variables used in the PCA for the elderly at home. .... 694.4 Interpretations for the first 11 PCs for the ‘elderly at home.’ 704.5 Variables and substituents considered byHansch et al. (1973). ..................... 754.6 First four PCs of chemical data from Hansch et al. (1973). 754.7 Simplified coefficients for the first two PCs:stock market prices. ..................... 775.1 First two PCs: artistic qualities of painters. . ....... 845.2 First two PCs: 100 km running data. ........... 99
xxviiiList of Tables6.1 First six eigenvalues for the correlation matrix, bloodchemistry data. ........................ 1336.2 First six eigenvalues for the covariance matrix, bloodchemistry data. ........................ 1346.3 First six eigenvalues for the covariance matrix, gas chromatographydata. ...................... 1356.4 Subsets of selected variables, Alate adelges. ........ 1466.5 Subsets of selected variables, crime rates. . . ....... 1487.1 Coefficients for the first four PCs: children’sintelligence tests. ....................... 1637.2 Rotated factor loadings–four factors: children’sintelligence tests. ....................... 1637.3 Correlations between four direct quartimin factors: children’sintelligence tests. ................... 1647.4 Factor loadings—three factors, varimax rotation: children’sintelligence tests. ....................... 1648.1 Variation accounted for by PCs of predictor variables inmonsoon data for (a) predictor variables,(b) dependent variable. ................... 1748.2 Correlation matrix for the pitprop data. . . . ....... 1928.3 Principal component regression for the pitprop data: coefficients,variances, regression coefficients and t-statistics foreachcomponent........................ 1938.4 Variable selection using various techniques on the pitpropdata. (Each row corresponds to a selected subset with ×denoting a selected variable.) ................ 1948.5 Variables used in the household formation example. . . . 1958.6 Eigenvalues of the correlation matrix and order of importancein predicting y for the householdformation data. ....................... 1969.1 Demographic variables used in the analysis of 46English counties. ....................... 2169.2 Coefficients and variances for the first four PCs: Englishcounties data. ........................ 2169.3 Coefficients for the first two canonical variates in a canonicalcorrelation analysis of species and environmental variables. 22510.1 Anatomical measurements: values of d 2 1i , d2 2i , d 4i for themost extreme observations. ................. 243
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List of Tables3.1 Correlations and standard deviations for eight bloodchemistry variables. ..................... 403.2 <strong>Principal</strong> components based on the correlation matrix foreight blood chemistry variables. .............. 413.3 <strong>Principal</strong> components based on the covariance matrix foreight blood chemistry variables. .............. 413.4 Correlation matrix for ten variables measuring reflexes. . 583.5 <strong>Principal</strong> components based on the correlation matrix ofTable3.4 ........................... 594.1 First three PCs: student anatomical measurements. . . . 654.2 Simplified version of the coefficients in Table 4.1. ..... 664.3 Variables used in the PCA for the elderly at home. .... 694.4 Interpretations for the first 11 PCs for the ‘elderly at home.’ 704.5 Variables and substituents considered byHansch et al. (1973). ..................... 754.6 First four PCs of chemical data from Hansch et al. (1973). 754.7 Simplified coefficients for the first two PCs:stock market prices. ..................... 775.1 First two PCs: artistic qualities of painters. . ....... 845.2 First two PCs: 100 km running data. ........... 99
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