Spectral Reflection Data (Page 355, Johnson and Wichern)
Multivariate Analysis of Variance
Univariate Two-Factor Anova

The PRINCOMP Procedure

Observations 55
Variables 8

Simple Statistics
  t1 t2 t3 t4 t5 t6 t7 t8
Mean 10.47109091 20.94036364 46.43872727 1.793272727 3.698181818 13.84581818 28.98909091 136.6240000
StD 0.35142921 0.64464737 1.45701757 0.063684830 0.155909410 0.80116048 1.80773162 9.2270335

Correlation Matrix
  t1 t2 t3 t4 t5 t6 t7 t8
t1 1.0000 0.9226 0.8411 0.7560 0.7002 0.6195 0.6325 0.5199
t2 0.9226 1.0000 0.8507 0.8066 0.7750 0.6954 0.6965 0.5962
t3 0.8411 0.8507 1.0000 0.8702 0.8353 0.7786 0.7872 0.7050
t4 0.7560 0.8066 0.8702 1.0000 0.9180 0.8636 0.8690 0.8065
t5 0.7002 0.7750 0.8353 0.9180 1.0000 0.9281 0.9347 0.8655
t6 0.6195 0.6954 0.7786 0.8636 0.9281 1.0000 0.9746 0.9322
t7 0.6325 0.6965 0.7872 0.8690 0.9347 0.9746 1.0000 0.9432
t8 0.5199 0.5962 0.7050 0.8065 0.8655 0.9322 0.9432 1.0000

Eigenvalues of the Correlation Matrix
  Eigenvalue Difference Proportion Cumulative
1 6.62214613 5.74452784 0.8278 0.8278
2 0.87761829 0.71829715 0.1097 0.9375
3 0.15932114 0.03527176 0.0199 0.9574
4 0.12404939 0.04416911 0.0155 0.9729
5 0.07988027 0.01191512 0.0100 0.9829
6 0.06796515 0.02154562 0.0085 0.9914
7 0.04641953 0.02381943 0.0058 0.9972
8 0.02260010   0.0028 1.0000

Eigenvectors
  Prin1 Prin2 Prin3 Prin4 Prin5 Prin6 Prin7 Prin8
t1 0.317556 0.566878 0.332262 0.127628 0.262555 -.593704 0.136241 0.105542
t2 0.336979 0.461626 0.360657 -.259116 -.153957 0.656137 -.112640 -.096054
t3 0.355645 0.248273 -.560467 0.652341 -.218323 0.156625 -.002854 -.000127
t4 0.368684 0.012430 -.532482 -.479999 0.540053 -.014692 -.238016 -.038165
t5 0.372810 -.139797 -.153443 -.404510 -.487715 -.157843 0.610011 0.139291
t6 0.364374 -.312030 0.189764 0.029588 -.253979 -.141299 -.591299 0.546697
t7 0.366773 -.306860 0.181752 0.080069 -.133176 -.219017 -.176871 -.796795
t8 0.341926 -.438963 0.263209 0.299512 0.497928 0.315285 0.398822 0.158164

Spectral Reflection Data (Page 355, Johnson and Wichern)
Multivariate Analysis of Variance
Univariate Two-Factor Anova

Obs t1 t2 t3 t4 t5 t6 t7 t8 country Prin1 Prin2 Prin3 Prin4 Prin5 Prin6 Prin7 Prin8
1 9.93 19.75 43.86 1.73 3.53 13.20 27.43 128.22 usa -3.4306 -1.11019 -0.04049 -0.32506 0.12206 -0.37417 -0.15233 0.00521
2 10.11 20.21 44.93 1.70 3.51 13.01 27.51 129.13 gbni -3.0242 -0.27891 0.23497 0.33855 -0.10204 -0.01296 0.04058 -0.15858
3 10.01 19.72 45.26 1.73 3.60 13.23 27.52 131.08 italy -2.7269 -0.98986 -0.49132 0.25918 -0.10156 -0.37870 0.24773 0.12594
4 10.07 20.00 44.60 1.75 3.59 13.20 27.53 130.55 ussr -2.6269 -0.75696 -0.20267 -0.26974 0.15635 -0.27454 0.10774 0.04742
5 10.12 20.33 44.87 1.73 3.56 13.17 27.42 129.92 gdr -2.5901 -0.31067 0.08598 -0.06119 -0.01771 0.03797 0.03198 0.01564
6 10.16 20.37 44.50 1.73 3.53 13.21 27.61 132.23 frg -2.5527 -0.41137 0.41250 -0.06569 0.24989 0.05056 -0.02442 -0.02194
7 10.31 20.06 44.84 1.74 3.57 13.28 27.66 128.30 australi -2.4464 -0.21617 0.03662 -0.03630 0.10677 -0.67731 -0.02006 0.05738
8 10.11 20.38 45.28 1.73 3.57 13.34 27.97 132.30 france -2.1719 -0.50289 0.10040 0.18060 -0.09581 0.12441 -0.01872 -0.07154
9 10.46 20.66 44.92 1.73 3.55 13.10 27.38 129.75 kenya -2.1683 0.53371 0.55722 -0.03190 0.19725 -0.17366 0.11513 0.02659
10 10.34 20.68 45.04 1.73 3.60 13.22 27.45 129.95 belgium -2.0413 0.26195 0.40075 -0.14549 -0.10397 -0.01111 0.17374 0.08669
11 10.16 20.24 45.36 1.76 3.60 13.29 27.89 131.58 poland -2.0006 -0.46260 -0.28221 -0.04186 0.10644 -0.13734 0.04383 -0.03805
12 10.17 20.22 45.68 1.76 3.63 13.55 28.09 130.15 canada -1.7464 -0.50035 -0.39567 0.00729 -0.19744 -0.28951 -0.10531 0.05946
13 10.43 20.69 45.49 1.74 3.61 13.27 27.52 130.87 finland -1.6920 0.40882 0.27001 0.01814 -0.02439 -0.10290 0.20377 0.13416
14 10.37 20.46 45.78 1.78 3.55 13.22 27.91 131.20 switzerl -1.6390 0.19593 -0.26557 0.09897 0.47408 -0.18010 -0.15111 -0.12755
15 10.25 20.61 45.63 1.77 3.61 13.29 27.94 130.63 sweden -1.6032 0.02323 -0.20951 -0.16695 0.04343 0.06529 -0.03066 -0.10155
16 10.51 20.88 46.10 1.74 3.54 13.21 27.70 128.98 nz -1.5997 0.92336 0.23616 0.36996 0.02134 0.01597 -0.12851 -0.08539
17 10.22 20.43 45.21 1.73 3.66 13.62 28.62 133.13 brazil -1.5583 -0.64115 0.32607 0.00167 -0.38848 -0.20894 0.13308 -0.04675
18 10.52 20.95 45.10 1.74 3.62 13.36 27.61 129.02 netherla -1.5554 0.70244 0.61833 -0.30698 -0.12709 -0.13235 0.07793 0.12145
19 10.42 20.77 45.98 1.76 3.55 13.31 27.73 131.57 spain -1.4806 0.50665 0.05920 0.24017 0.24252 0.09565 -0.14436 0.00034
20 10.35 20.65 45.64 1.76 3.58 13.42 28.19 134.32 czech -1.3726 -0.02878 0.17790 0.14662 0.25563 0.04368 -0.03981 -0.05652
21 10.34 20.81 45.86 1.79 3.64 13.41 27.72 128.63 japan -1.2379 0.41357 -0.34849 -0.41049 -0.02557 0.04369 -0.14202 0.05504
22 10.26 20.62 46.02 1.77 3.62 13.49 28.44 132.58 hungary -1.2052 -0.15153 -0.20105 0.07416 -0.03622 0.06115 -0.10241 -0.14163
23 10.41 20.98 45.87 1.76 3.64 13.25 27.67 132.50 rumania -1.1965 0.53077 0.12726 -0.10531 -0.00653 0.27297 0.25777 0.04791
24 10.56 20.52 45.89 1.78 3.61 13.50 28.11 130.78 denmark -1.1132 0.38730 -0.07928 0.04300 0.27136 -0.57690 -0.09777 0.06988
25 10.53 21.17 46.70 1.79 3.62 13.13 27.38 128.65 portugal -0.9164 1.30473 -0.37082 -0.08296 0.08199 0.29093 0.02962 -0.00034
26 10.61 20.96 46.30 1.79 3.56 13.32 27.81 132.35 ireland -0.8842 0.94602 -0.00597 0.15325 0.54730 0.00060 -0.15902 0.00495
27 10.55 21.16 46.71 1.76 3.62 13.34 27.69 131.48 norway -0.8115 1.05664 0.05112 0.27226 -0.09327 0.27706 0.08823 0.08030
28 10.44 20.81 46.82 1.79 3.60 13.26 27.72 135.90 austria -0.8076 0.48689 -0.41201 0.38987 0.47029 0.29332 0.16330 0.07152
29 10.42 21.30 46.10 1.80 3.65 13.46 27.95 129.20 mexico -0.6785 0.84175 -0.13326 -0.54172 -0.06730 0.40344 -0.23011 -0.04851
30 10.43 21.05 46.10 1.82 3.74 13.49 27.88 131.35 columbia -0.3901 0.49998 -0.45808 -0.75405 -0.00039 0.11301 0.17247 0.14834
31 10.34 20.80 46.20 1.79 3.71 13.61 29.30 134.03 chile -0.3811 -0.20141 -0.19350 -0.18321 -0.18150 -0.04299 0.06415 -0.34834
32 10.22 20.71 46.56 1.78 3.64 14.59 28.45 134.60 greece -0.3796 -0.60178 -0.18036 0.24460 -0.38672 0.12963 -0.81935 0.62562
33 10.60 21.42 45.73 1.76 3.73 13.77 28.81 131.98 india -0.1652 0.67647 0.74129 -0.45654 -0.50711 0.04607 0.08915 -0.03673
34 10.34 20.89 46.90 1.79 3.77 13.96 29.23 136.25 korea 0.2075 -0.30153 -0.33227 0.02024 -0.48157 0.08573 0.12629 -0.00046
35 10.35 20.77 47.40 1.82 3.67 13.64 29.08 141.27 luxembou 0.2205 -0.27934 -0.68239 0.47379 0.43025 0.34091 0.11461 -0.15314
36 10.39 20.81 46.84 1.81 3.70 14.04 29.36 137.72 argentin 0.2619 -0.34488 -0.33106 0.13099 0.01684 0.00001 -0.19708 -0.02556
37 10.71 21.43 47.60 1.79 3.67 13.56 28.58 131.50 turkey 0.2661 1.38304 -0.14679 0.31267 -0.20781 0.17376 -0.06374 -0.12708
38 10.51 21.04 47.30 1.81 3.73 13.90 29.13 133.53 china 0.4090 0.35778 -0.47121 0.05888 -0.27599 -0.04016 -0.12955 -0.06301
39 10.71 21.00 47.80 1.77 3.72 13.66 28.93 137.55 israel 0.4346 0.67428 -0.11482 0.81165 -0.19210 -0.14173 0.43483 0.01130
40 10.28 20.58 45.91 1.80 3.75 14.68 30.55 146.62 bermuda 0.7393 -1.76694 0.35352 0.07799 0.07746 -0.14948 -0.16881 0.09119
41 10.59 21.29 46.80 1.79 3.77 14.07 30.07 139.27 taipei 0.9505 0.04203 0.36300 0.04478 -0.30912 0.04178 0.12068 -0.22839
42 10.91 21.94 47.30 1.85 3.77 14.13 29.67 130.87 dprkorea 1.6837 1.56473 0.06957 -0.61681 -0.23425 -0.04648 -0.46228 -0.19188
43 10.40 20.92 46.30 1.82 3.80 14.64 31.01 154.10 malaysia 1.7083 -1.72273 0.54089 0.14076 0.42311 0.18745 0.24625 0.00738
44 10.14 20.65 46.80 1.82 3.82 14.91 31.45 154.12 domrep 1.7149 -2.44900 0.04076 0.35694 0.03893 0.28514 0.02844 -0.02200
45 10.64 21.52 48.30 1.80 3.85 14.45 30.28 139.95 burma 1.9719 0.25720 -0.06988 0.40455 -0.81616 0.20013 0.10096 -0.00390
46 10.78 21.64 46.24 1.81 3.83 14.74 30.64 145.27 philippi 2.0704 -0.18932 1.11475 -0.33929 -0.11555 -0.03073 0.00336 0.12699
47 10.94 21.90 48.66 1.87 3.84 14.03 28.81 136.58 costa 2.2966 1.67064 -0.63098 -0.16973 -0.05225 0.24978 0.15756 0.28223
48 10.98 21.82 48.40 1.89 3.80 14.16 30.11 139.33 guatemal 2.6724 1.27121 -0.42582 -0.13477 0.34185 0.02225 -0.14798 -0.17869
49 10.59 21.49 47.80 1.84 3.92 14.73 30.79 148.83 indonesi 2.7478 -0.60317 0.02596 0.01266 -0.29833 0.31248 0.33945 0.14265
50 10.39 21.09 47.91 1.83 3.84 15.23 32.56 149.90 thailand 2.7618 -1.66979 0.06003 0.56459 -0.43441 0.07228 -0.44000 -0.34393
51 10.38 21.28 47.40 1.88 3.89 15.11 31.32 157.77 singapor 3.1221 -1.78902 -0.04281 -0.05423 0.41084 0.60590 0.08274 0.23908
52 10.96 21.78 47.90 1.90 4.01 14.72 31.36 148.22 png 3.9092 0.08554 -0.05315 -0.60542 0.04938 -0.19978 0.48516 -0.01352
53 11.19 22.45 47.70 1.88 3.83 15.06 31.77 152.23 mauritiu 4.2587 0.66695 1.19660 -0.10210 0.56305 0.28633 -0.28960 -0.07305
54 10.82 21.86 49.00 2.02 4.24 16.28 34.71 161.83 wsamoa 7.2312 -1.90208 -0.69904 -1.04934 0.05209 -0.24008 -0.02471 -0.11278
55 12.18 23.20 52.94 2.02 4.24 16.70 35.38 164.70 cookis 10.5556 1.50877 0.06959 0.80834 0.13013 -0.80743 0.00919 0.13613