Page 24 - Jolliffe I. Principal Component Analysis

List of Figures

1.1 Plot of 50 observations on two variables x 1 ,x 2 . ...... 2
1.2 Plot of the 50 observations from Figure 1.1 with respect to
their PCs z 1 , z 2 . ....................... 3
1.3 Student anatomical measurements: plots of 28 students with
respect to their first two PCs. × denotes women;
◦ denotes men. ........................ 4

80 44
2.1 Contours of constant probability based on Σ 1 = . 23
44 80
8000 440
2.2 Contours of constant probability based on Σ 2 = . 23
440 80
3.1 Orthogonal projection of a two-dimensional vector onto a
one-dimensional subspace. ................. 35

4.1 Graphical representation of the coefficients in the second
PC for sea level atmospheric pressure data. . ....... 73

5.1 (a). Student anatomical measurements: plot of the first two
PC for 28 students with convex hulls for men and
women superimposed. .................... 82
5.1 (b). Student anatomical measurements: plot of the first two
PCs for 28 students with minimum spanning
tree superimposed. ...................... 83