Page 510 - Jolliffe I. Principal Component Analysis

Index
spatial correlation/covariance 297,
302, 317, 333–335
statistical process control 114, 184,
intrinsic correlation model 334 statistical physics 266, 401 475
240, 333, 337, 339, 366–369,
isotropy and anisotropy 297, 334 381, 398
linear model of co-regionalization CUSUM charts 367
334 exponentially-weighted moving
non-stationarity 297 principal components 337,
spatial data 71–74, 130, 274, 275, 368
278–283, 289, 294, 295, 300, squared prediction error (SPE)
302, 307–317, 320, 328, 329, 367, 368
332–339, 364, 365, 370, 385, stochastic complexity 19, 39, 395
398 strategies for selecting PCs in
spatial lattice 368 regression
spatial domain, size and shape see selection of subsets of PCs
297, 334 structural relationships, see
species abundance data 105–107, functional and structural
224–225, 339, 371, 372, relationships
389–391 structure of PCs 24, 27, 28, 30,
between- and within-site species 56–59
diversity 372, 389 PCs similar to original variables
spectral decomposition of a matrix 22, 24, 40, 41, 43, 56, 115,
13, 14, 31, 37, 44, 46, 86, 127, 134, 135, 146, 149, 159,
87, 101, 113, 170, 171, 266, 211, 259
333, 344, 355, 368, 395, 404 see also contrasts between
weighted 207 variables, interpretation
spectral/spectrum analysis of a of PCs, patterned
time series 300, 301, 311, correlation/covariance
337 matrices, PC coefficients,
spectrophotometry, see chemistry size and shape PCs
sphering data 219 student anatomical measurements,
splines see smoothing and see anatomical
interpolation measurements
stability/instability Sturm sequences 411
of PC subspaces 42, 53, 259, 261 subjective PCs 404
of PCs and their variances 76, subset selection, see selection of
81, 118, 126, 127, 232, subsets of PCs, selection of
259–263, 267, 297 variables
of spatial fields 130 subspaces
see also influence function, spanned by subsets of PCs 43,
influential variables 53, 140, 141, 144, 229, 230,
standard errors for PC coefficients 259, 261, 276, 357–361
and variances 50, 52 spanned by subsets of variables
standardized variables 21, 24–27, 140, 141, 144
42, 112, 169, 211, 250, 274, see also comparisons between
388, 389 subspaces