Page 506 - Jolliffe I. Principal Component Analysis

Index
in functional and structural
relationships 189
240
principal sequence pattern analysis
in functional PCA 318–320 principal sensitivity components 471
in regression 167–173, 175–186, 308
304, 337 principal variables 139–141, 144,
see also bootstrap estimation, 146–149, 368, 394, 395
least squares estimation, see also selection of variables
maximum likelihood probabilistic PCA, see models for
estimation, method of PCA
moments estimation, robust probability distributions 59
estimation asymptotic distributions 9,
power method 8, 409–411 47–49, 51, 53
accelerated version 8, 410 empirical distributions 49, 128,
convergence 410 129
with inverse iteration 410 exact distributions 48
with shifts 410, 411 for noise 388
for PC coefficients and variances
prediction sum of squares (PRESS)
8, 9, 29, 47–49, 51, 53, 128,
121–124, 145, 175
129
predictive oscillation patterns
see also models for PCA
(PROPs) 309
process control, see statistical
predictor variables 227–230
process control
see also regression analysis
Procrustes rotation 143, 145, 221,
pre-processing data using PCA see
260, 362
dimensionality reduction
projection pursuit 79, 200, 219-221,
principal axes 241, 266, 387, 396
for contingency table data 342
projections
of ellipsoids 18, 22, 27, 39
in a biplot 94, 95
principal co-ordinate analysis 39,
onto a subspace 20, 21, 34–37,
79, 85–90, 93, 106, 107, 209,
61, 140–141, 393, 399
339, 346, 382
onto rotated axes 154
principal curves 373, 377–379, 381
properties of PCs, see algebraic
principal differential analysis 316, properties, geometric
326 properties
principal factor analysis 159, 160 psychology/psychometrics 7, 9,
see also point estimation for 117, 130, 133, 225, 296, 343,
factor loadings 398
principal Hessian directions 185
principal oscillation pattern (POP) QL algorithm 411–413
analysis 302, 303, 307–311, convergence 412
314-316, 335 incorporating shifts 412
principal planes 279 QR algorithm 411–413
principal points 379 quality control, see statistical
principal predictors 227, 228, 354 process control
principal response curves 331, 393 quantitative structure-activity