INPUT Sports Sc Hybrid Lux Truck Wd4 Conv Suv; CARDS;

DATA HAW (TYPE=DISTANCE); INPUT sports sc hybrid lux truck wd4 conv suv; CARDS; .000 .892 .990 .981 .986 .995 .993 .963 .892 .000 .970 .856 .925 .957 .983 .890 .990 .970 .000 .967 .993 .997 .995 .951 .981 .856 .967 .000 .970 .947 .978 .949 .986 .925 .993 .970 .000 .967 .969 .980 .995 .957 .997 .947 .967 .000 .979 .981 .993 .983 .995 .978 .969 .979 .000 .979 .963 .890 .951 .949 .980 .981 .979 .000 PROC CLUSTER DATA=HAW OUTTREE=OUTXX METHOD=average; VAR sports--suv; PROC TREE DATA=OUTXX; Run; The SAS System 1

The CLUSTER Procedure Average Linkage Cluster Analysis

Root- Mean- Square Distance Between Observations = 0.964278

Cluster History Norm T RMS i NCL - - Clusters Joined- - - FREQ Dist e

7 OB2 OB4 2 0.8877 6 CL7 OB8 3 0.9541 5 OB1 CL6 4 0.9812 4 CL5 OB5 5 1.0013 3 CL4 OB6 6 1.0055 2 CL3 OB3 7 1.0144 1 CL2 OB7 8 1.0187

0. 00 OB1 OB2 OB4 OB8 OB5 OB6 OB3 OB7

Name of Obser vat i on or Cl ust er PROC CLUSTER DATA=HAW OUTTREE=OUTXX METHOD=single;

The SAS System 2

The CLUSTER Procedure Single Linkage Cluster Analysis

Mean Distance Between Observations = 0.963679

Cluster History Norm T Min i NCL - - Clusters Joined- - - FREQ Dist e

7 OB2 OB4 2 0.8883 6 CL7 OB8 3 0.9235 5 OB1 CL6 4 0.9256 4 CL5 OB5 5 0.9599 3 CL4 OB6 6 0.9827 2 CL3 OB3 7 0.9868 1 CL2 OB7 8 1.0055

Name of Obser vat i on or Cl ust er PROC CLUSTER DATA=HAW OUTTREE=OUTXX METHOD=complete;

The SAS System 3

The CLUSTER Procedure Complete Linkage Cluster Analysis

Mean Distance Between Observations = 0.963679

Cluster History Norm T Max i NCL - - Clusters Joined- - - FREQ Dist e

7 OB2 OB4 2 0.8883 6 CL7 OB8 3 0.9848 5 OB5 OB6 2 1.0034 4 CL6 OB3 4 1.0066 3 CL5 OB7 3 1.0159 2 OB1 CL4 5 1.0273 1 CL2 CL3 8 1.0346

Name of Obser vat i on or Cl ust er PROC CLUSTER DATA=HAW OUTTREE=OUTXX METHOD=ward;

The SAS System 4

The CLUSTER Procedure Ward's Minimum Variance Cluster Analysis

Root- Mean- Square Distance Between Observations = 0.964278

Cluster History T i NCL - - Clusters Joined- - - FREQ SPRSQ RSQ e

7 OB2 OB4 2 0.1126 .887 6 CL7 OB8 3 0.1358 .752 5 OB5 OB6 2 0.1437 .608 4 OB1 CL6 4 0.1442 .464 3 CL5 OB7 3 0.1465 .317 2 CL4 OB3 5 0.1526 .165 1 CL2 CL3 8 0.1647 .000

S e m i - 0. 15 P a r t i a l 0. 10

R - S q u 0. 05 a r e d

Name of Obser vat i on or Cl ust er DATA HAW ; 5 INPUT sports sc hybrid lux truck wd4 conv suv; CARDS; .000 .892 .990 .981 .986 .995 .993 .963 .892 .000 .970 .856 .925 .957 .983 .890 .990 .970 .000 .967 .993 .997 .995 .951 .981 .856 .967 .000 .970 .947 .978 .949 .986 .925 .993 .970 .000 .967 .969 .980 .995 .957 .997 .947 .967 .000 .979 .981 .993 .983 .995 .978 .969 .979 .000 .979 .963 .890 .951 .949 .980 .981 .979 .000 PROC FASTCLUS DATA=HAW MAXCLUSTERS=5; VAR sports--suv; Run;

The FASTCLUS Procedure Replace=FULL Radius=0 Maxclusters=5 Maxiter=1

Initial Seeds

Cluster sports sc hybrid lux ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 0.0000000000 0.8920000000 0.9900000000 0.9810000000 2 0.9930000000 0.9830000000 0.9950000000 0.9780000000 3 0.9900000000 0.9700000000 0.0000000000 0.9670000000 4 0.9810000000 0.8560000000 0.9670000000 0.0000000000 5 0.9860000000 0.9250000000 0.9930000000 0.9700000000

Initial Seeds

Cluster truck wd4 conv suv ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 0.9860000000 0.9950000000 0.9930000000 0.9630000000 2 0.9690000000 0.9790000000 0.0000000000 0.9790000000 3 0.9930000000 0.9970000000 0.9950000000 0.9510000000 4 0.9700000000 0.9470000000 0.9780000000 0.9490000000 5 0.0000000000 0.9670000000 0.9690000000 0.9800000000

Criterion Based on Final Seeds = 0.2024

Cluster Summary

Maximum Distance RMS Std from Seed Radius Nearest Distance Between Cluster Frequency Deviation to Observation Exceeded Cluster Cluster Centroids ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 1 . 0 4 1.0921 2 1 . 0 4 1.1322 3 1 . 0 4 1.1165 4 4 0.3305 0.8629 1 1.0921 5 1 . 0 4 1.0962 Statistics for Variables 6

Variable Total STD Within STD R-Square RSQ/(1- RSQ) ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ sports 0.34512 0.04575 0.992469 131.791400 sc 0.32987 0.45245 0.193731 0.240281 hybrid 0.34702 0.01909 0.998704 770.427019 lux 0.33817 0.46071 0.204527 0.257113 truck 0.34355 0.02431 0.997854 464.994078 wd4 0.34505 0.48104 0.167028 0.200521 conv 0.34739 0.00222 0.999983 57271.406780 suv 0.33936 0.47151 0.172649 0.208677 OVER-ALL 0.34199 0.33048 0.599778 1.498616

The FASTCLUS Procedure Replace=FULL Radius=0 Maxclusters=5 Maxiter=1

Pseudo F Statistic = 1.12

Approximate Expected Over- All R-Squared = .

Cubic Clustering Criterion = .

WARNING: The two values above are invalid for correlated variables.

Cluster Means

Cluster sports sc hybrid lux ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 0.0000000000 0.8920000000 0.9900000000 0.9810000000 2 0.9930000000 0.9830000000 0.9950000000 0.9780000000 3 0.9900000000 0.9700000000 0.0000000000 0.9670000000 4 0.9577500000 0.6757500000 0.9712500000 0.6880000000 5 0.9860000000 0.9250000000 0.9930000000 0.9700000000

Cluster Means

Cluster truck wd4 conv suv ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 0.9860000000 0.9950000000 0.9930000000 0.9630000000 2 0.9690000000 0.9790000000 0.0000000000 0.9790000000 3 0.9930000000 0.9970000000 0.9950000000 0.9510000000 4 0.9605000000 0.7212500000 0.9797500000 0.7050000000 5 0.0000000000 0.9670000000 0.9690000000 0.9800000000 Cluster Standard Deviations 7

Cluster sports sc hybrid lux ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 . . . . 2 . . . . 3 . . . . 4 0.0457484062 0.4524499051 0.0190853347 0.4607132152 5 . . . .

Cluster Standard Deviations

Cluster truck wd4 conv suv ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 . . . . 2 . . . . 3 . . . . 4 0.0243104916 0.4810449563 0.0022173558 0.4715089253 5 . . . .