Page 26 - Jolliffe I. Principal Component Analysis
P. 26
List of Figures
11.2 Loadings of first autumn components for PCA, RPCA,
SCoT, SCoTLASS and simple component analysis. ....
280
11.3 Loadings of second autumn components for PCA, RPCA, xxv
SCoT, SCoTLASS and simple component analysis. .... 281
11.4 Loadings of first winter components for PCA, RPCA, SCoT,
SCoTLASS and simple component analysis. . ....... 282
11.5 Loadings of second winter components for PCA, RPCA,
SCoT, SCoTLASS and simple component analysis. .... 283
12.1 Plots of loadings for the first two components in an SSA
with p = 61 of the Southern Oscillation Index data. . . . 305
12.2 Plots of scores for the first two components in an SSA with
p = 61 for Southern Oscillation Index data. . ....... 306
12.3 Southern Oscillation Index data together with a reconstruc-
tion using the first two components from an SSA with
p = 61. ............................ 306
12.4 The first four EOFs for Southern Hemisphere SST. . . . 312
12.5 Real and imaginary parts of the first Hilbert EOF for
Southern Hemisphere SST. ................. 312
12.6 Plots of temporal scores for EOF1 and EOF3 for Southern
Hemisphere SST. ....................... 313
12.7 Plots of temporal scores for real and imaginary parts of the
first Hilbert EOF for Southern Hemisphere SST. ..... 313
12.8 Propagation of waves in space and time in Hilbert EOF1,
Hilbert EOF2, and the sum of these two Hilbert EOFs. . 314
12.9 Plots of speed for 80 competitors in a 100 km race. . . . 321
12.10 Coefficients for first three PCs from the 100 km speed data. 321
12.11 Smoothed version of Figure 12.10 using a spline basis; dots
are coefficients from Figure 12.10. ............. 322
12.12 Coefficients (eigenfunctions) for the first three components
in a functional PCA of the 100 km speed data using a spline
basis; dots are coefficients from Figure 12.10. ....... 322

