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I think I am misunderstanding this mathematical concept. I have performed a PCA for microarray data; these are my whole results:
PCA = princomp(data.bgcorrect.norm$E)
PCA$sdev
Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 Comp.6 Comp.7 Comp.8 Comp.9 Comp.10
9.7292845 1.3641271 0.9554555 0.8506955 0.7577389 0.6642390 0.6321169 0.5602993 0.5318998 0.4425422
PCA$loadings
Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 Comp.6 Comp.7 Comp.8 Comp.9 Comp.10
Sample.1 0.319 0.169 0.213 0.402 0.379 0.108 0.710
Sample.2 0.312 0.493 0.266 -0.662 -0.221 0.259 -0.177
Sample.3 0.319 0.165 0.118 0.321 0.446 0.105 0.200 0.158 0.102 -0.684
Sample.4 0.315 0.423 -0.230 -0.302 -0.203 -0.628 0.352 -0.113
Sample.5 0.316 0.219 -0.669 0.215 0.168 0.408 -0.330 0.184 0.107
Control.6 0.317 -0.319 -0.419 0.197 -0.131 -0.226 -0.132 0.704
Control.7 0.319 -0.222 -0.116 0.145 0.144 -0.268 -0.656 -0.535
Control.8 0.313 -0.201 0.754 -0.203 -0.267 0.279 -0.289 0.122
Control.9 0.314 -0.466 -0.161 -0.723 0.265 0.223
Control.10 0.317 -0.257 -0.333 -0.242 0.519 0.230 0.449 -0.369
Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 Comp.6 Comp.7 Comp.8 Comp.9 Comp.10
SS loadings 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0
Proportion Var 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1
Cumulative Var 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
As expected the fisrt component (Comp.1) shows greater sdv but why does not imply greater difference between the samples (PCA$loadings) than for example Comp.2? Why are some of them 'blank' for other components?