The SAS System 1 Average Linkage Cluster Analysis Eigenvalues of the Correlation Matrix Eigenvalue Difference Proportion Cumulative 1 2.12082 0.649090 0.424164 0.42416 2 1.47173 0.639038 0.294346 0.71851 3 0.83269 0.279044 0.166538 0.88505 4 0.55365 0.532529 0.110729 0.99578 5 0.02112 . 0.004223 1.00000 The data have been standardized to mean 0 and variance 1 Root-Mean-Square Total-Sample Standard Deviation = 1 Root-Mean-Square Distance Between Observations = 3.162278 Norm T RMS i NCL -Clusters Joined- FREQ SPRSQ RSQ ERSQ CCC PSF PST2 Dist e 11 Rice Smacks 2 0.00000 1.000 . . . . 0.0000 10 Super CL11 3 0.00078 0.999 . . 286 . 0.0800 9 CL10 Pops 4 0.00544 0.994 . . 59.9 14.0 0.2033 8 Grape CL9 5 0.01881 0.975 . . 22.3 9.1 0.3713 7 Raisin Wheaties 2 0.01739 0.958 . . 18.8 . 0.4374 6 Product Total 2 0.04145 0.916 . . 13.1 . 0.6753 5 Life Special 2 0.04518 0.871 . . 11.8 . 0.7050 4 CL8 CL7 7 0.12119 0.750 . . 8.0 14.3 0.7362 3 CL4 CL6 9 0.16072 0.589 . . 6.4 5.5 0.9004 2 CL5 CL3 11 0.21902 0.370 0.439 -0.76 5.9 4.8 1.0411 1 CL2 Puffed 12 0.37001 0.000 0.000 0.00 . 5.9 1.5922 The SAS System 2 Average Linkage Cluster Analysis Name of Observation or Cluster W S h P p S R e r P e G S m a a o T u L c r u R a P i t d o f i i a p i c o s i u t f f a p e c k p i e c a e e l e r e s s n s t l d 1.6 +XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . A |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . v 1.4 +XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . e |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . r |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . a |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . g |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . e 1.2 +XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . D |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . i |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . s |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . t 1 +XXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . a |XXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . n |XXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . c |XXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXX . e |XXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXX . 0.8 +XXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXX . B |XXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXX . e |XXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXX . t |. . XXXXXXXXXXXXXXXXXXXXX XXXXXX XXXXXX . w |. . XXXXXXXXXXXXXXXXXXXXX XXXXXX . . . e 0.6 +. . XXXXXXXXXXXXXXXXXXXXX XXXXXX . . . e |. . XXXXXXXXXXXXXXXXXXXXX XXXXXX . . . n |. . XXXXXXXXXXXXXXXXXXXXX XXXXXX . . . |. . XXXXXXXXXXXXXXXXXXXXX XXXXXX . . . C |. . XXXXXXXXXXXXXXXXXXXXX XXXXXX . . . l 0.4 +. . XXXXXXXXXXXXXXXXXXXXX . . . . . u |. . XXXXXXXXXXXXXXXXXXXXX . . . . . s |. . . XXXXXXXXXXXXXXXX . . . . . t |. . . XXXXXXXXXXXXXXXX . . . . . e |. . . XXXXXXXXXXXXXXXX . . . . . r 0.2 +. . . XXXXXXXXXXXXXXXX . . . . . s |. . . XXXXXXXXXXX . . . . . . |. . . XXXXXXXXXXX . . . . . . |. . . XXXXXXXXXXX . . . . . . |. . . . XXXXXX . . . . . . 0 +. . . . XXXXXX . . . . . . The SAS System 3 Principal Component Analysis 12 Observations 5 Variables Simple Statistics PROTEIN CARBOS FAT CALORIES VITA Mean 2.833333333 23.00000000 0.3333333333 105.0000000 33.33333333 StD 1.642245322 3.95428421 0.4923659639 17.8376517 32.56694736 Correlation Matrix PROTEIN CARBOS FAT CALORIES VITA PROTEIN 1.0000 -.1680 0.4122 0.3414 -.1416 CARBOS -.1680 1.0000 0.0467 0.8378 0.3000 FAT 0.4122 0.0467 1.0000 0.3105 0.0945 CALORIES 0.3414 0.8378 0.3105 1.0000 0.3130 VITA -.1416 0.3000 0.0945 0.3130 1.0000 Eigenvalues of the Correlation Matrix Eigenvalue Difference Proportion Cumulative PRIN1 2.12082 0.649090 0.424164 0.42416 PRIN2 1.47173 0.639038 0.294346 0.71851 PRIN3 0.83269 0.279044 0.166538 0.88505 PRIN4 0.55365 0.532529 0.110729 0.99578 PRIN5 0.02112 . 0.004223 1.00000 Eigenvectors PRIN1 PRIN2 PRIN3 PRIN4 PRIN5 PROTEIN 0.184331 0.702520 -.107204 0.585065 0.344519 CARBOS 0.569030 -.353064 -.349601 -.188857 0.627425 FAT 0.302934 0.532395 0.392838 -.684873 0.037590 CALORIES 0.660019 0.024373 -.260939 0.123168 -.693196 VITA 0.338869 -.312685 0.802418 0.371228 0.075563 The SAS System 4 Plot of PRIN1*PRIN2$NAME. Symbol points to label. 2 + | | | > Raisin | | > Total | 1 + | | > Product | > Wheaties | | > Super | > Pops 2 Rice 0 + Smacks > Special Life < | | PRIN1 | > Grape | | | -1 + | | | | | | -2 + | | | | | | -3 + | | | | | | -4 + | | > Puffed | | | | -5 + -+-------------+-------------+-------------+-------------+-------------+ -2 -1 0 1 2 3 PRIN2