Prehistoric Goblets From Thailand

Goblet Mouth Width Total Width Total Height Base Width Stem Width Stem Height
G01 13 21 23 14 7 8
G02 14 14 24 19 5 9
G03 19 23 24 20 6 12
G04 17 18 16 16 11 8
G05 19 20 16 16 10 7
G06 12 20 24 17 6 9
G07 12 19 22 16 6 10
G08 12 22 25 15 7 7
G09 11 15 17 11 6 5
G10 11 13 14 11 7 4
G11 12 20 25 18 5 12
G12 13 21 23 15 9 8
G13 12 15 19 12 5 6
G14 13 22 26 17 7 10
G15 14 22 26 15 7 9
G16 14 19 20 17 5 10
G17 15 16 15 15 9 7
G18 19 21 20 16 9 10
G19 12 20 26 16 7 10
G20 17 20 27 18 6 14
G21 13 20 27 17 6 9
G22 9 9 10 7 4 3
G23 8 8 7 5 2 2
G24 9 9 8 4 2 2
G25 12 19 27 18 5 12

Prehistoric Goblets From Thailand

Goblet G01 G02 G03 G04 G05 G06
G01 0.00 8.99 6.32 9.70 9.97 3.65
G02 8.99 0.00 7.54 11.61 12.71 6.60
G03 6.32 7.54 0.00 9.80 9.35 5.77
G04 9.70 11.61 9.80 0.00 3.06 10.92
G05 9.97 12.71 9.35 3.06 0.00 11.58
G06 3.65 6.60 5.77 10.92 11.58 0.00

The CLUSTER Procedure
Single Linkage Cluster Analysis

Cluster History
NCL Clusters Joined FREQ Min
Dist		 T
i
e
5 G04 G05 2 3.06  
4 G01 G06 2 3.65  
3 CL4 G03 3 5.77  
2 CL3 G02 4 6.6  
1 CL2 CL5 6 9.35  

The TREE Procedure
Single Linkage Cluster Analysis

Proc Tree Graph Output

The CLUSTER Procedure
Complete Linkage Cluster Analysis

Cluster History
NCL Clusters Joined FREQ Max
Dist		 T
i
e
5 G04 G05 2 3.06  
4 G01 G06 2 3.65  
3 CL4 G03 3 6.32  
2 CL3 G02 4 8.99  
1 CL2 CL5 6 12.71  

The TREE Procedure
Complete Linkage Cluster Analysis

Proc Tree Graph Output

The CLUSTER Procedure
Ward's Minimum Variance Cluster Analysis


Root-Mean-Square Distance Between Observations = 7.996527

Cluster History
NCL Clusters Joined FREQ SPRSQ RSQ T
i
e
24 G04 G17 2 0.0010 .999  
23 G06 G14 2 0.0018 .997  
22 G22 G23 2 0.0022 .995 T
21 G01 G12 2 0.0023 .993  
20 G08 G15 2 0.0031 .990 T
19 G19 G21 2 0.0031 .986 T
18 G11 G25 2 0.0031 .983  
17 G09 G13 2 0.0035 .980  
16 CL22 G24 3 0.0039 .976  
15 CL23 CL19 4 0.0046 .971  
14 G07 G16 2 0.0065 .965  
13 CL24 G10 3 0.0067 .958  
12 CL21 CL20 4 0.0091 .949  
11 G05 G18 2 0.0123 .937  
10 CL18 G20 3 0.0141 .923  
9 G03 CL14 3 0.0151 .908  
8 CL13 CL11 5 0.0218 .886  
7 CL12 CL15 8 0.0253 .860  
6 G02 CL10 4 0.0325 .828  
5 CL8 CL16 8 0.0340 .794  
4 CL9 CL17 5 0.0356 .758  
3 CL6 CL4 9 0.0763 .682  
2 CL7 CL3 17 0.0882 .594  
1 CL2 CL5 25 0.5938 .000  

The TREE Procedure
Ward's Minimum Variance Cluster Analysis

Proc Tree Graph Output

Obs Goblet Id X1 X2 X3 X4 X5 X6 CLUSTER
1 G01 1 13 21 23 14 7 8 2
2 G02 2 14 14 24 19 5 9 2
3 G03 3 19 23 24 20 6 12 2
4 G04 4 17 18 16 16 11 8 1
5 G05 5 19 20 16 16 10 7 1
6 G06 6 12 20 24 17 6 9 2
7 G07 7 12 19 22 16 6 10 2
8 G08 8 12 22 25 15 7 7 2
9 G09 9 11 15 17 11 6 5 2
10 G10 10 11 13 14 11 7 4 1
11 G11 11 12 20 25 18 5 12 2
12 G12 12 13 21 23 15 9 8 2
13 G13 13 12 15 19 12 5 6 2
14 G14 14 13 22 26 17 7 10 2
15 G15 15 14 22 26 15 7 9 2
16 G16 16 14 19 20 17 5 10 2
17 G17 17 15 16 15 15 9 7 1
18 G18 18 19 21 20 16 9 10 1
19 G19 19 12 20 26 16 7 10 2
20 G20 20 17 20 27 18 6 14 2
21 G21 21 13 20 27 17 6 9 2
22 G22 22 9 9 10 7 4 3 1
23 G23 23 8 8 7 5 2 2 1
24 G24 24 9 9 8 4 2 2 1
25 G25 25 12 19 27 18 5 12 2

The PRINCOMP Procedure

Observations 25
Variables 6

Simple Statistics
  X1 X2 X3 X4 X5 X6
Mean 13.28000000 17.84000000 20.44000000 14.60000000 6.360000000 8.120000000
StD 3.00721355 4.33666539 6.07645730 4.14326763 2.157931108 3.140063694

Correlation Matrix
  X1 X2 X3 X4 X5 X6
X1 Mouth Width 1.0000 0.6234 0.3464 0.6748 0.6901 0.5876
X2 Total Width 0.6234 1.0000 0.8392 0.8288 0.5808 0.7970
X3 Total Height 0.3464 0.8392 1.0000 0.8431 0.2512 0.8575
X4 Base Width 0.6748 0.8288 0.8431 1.0000 0.4875 0.9102
X5 Stem Width 0.6901 0.5808 0.2512 0.4875 1.0000 0.2885
X6 Stem Height 0.5876 0.7970 0.8575 0.9102 0.2885 1.0000

Eigenvalues of the Correlation Matrix
  Eigenvalue Difference Proportion Cumulative
1 4.27177774 3.17960032 0.7120 0.7120
2 1.09217742 0.70742968 0.1820 0.8940
3 0.38474775 0.24235141 0.0641 0.9581
4 0.14239633 0.07710267 0.0237 0.9818
5 0.06529366 0.02168657 0.0109 0.9927
6 0.04360709   0.0073 1.0000

Eigenvectors
  Prin1 Prin2 Prin3 Prin4 Prin5 Prin6
X1 Mouth Width 0.366023 0.485929 -.617933 -.324368 -.278356 0.255658
X2 Total Width 0.451537 -.034127 0.375273 -.674274 0.083919 -.438671
X3 Total Height 0.411161 -.441352 0.316350 0.020195 -.382545 0.623963
X4 Base Width 0.461859 -.114575 -.158837 0.541191 -.381826 -.556463
X5 Stem Width 0.296365 0.682771 0.491454 0.359210 0.221361 0.162579
X6 Stem Height 0.438112 -.297680 -.332408 0.133462 0.757854 0.129589

Plot of Prin1 * Prin2 = CLUSTER

The CLUSTER Procedure
Ward's Minimum Variance Cluster Analysis


Root-Mean-Square Distance Between Observations = 0.631841

Cluster History
NCL Clusters Joined FREQ SPRSQ RSQ T
i
e
24 G11 G25 2 0.0009 .999  
23 G14 G19 2 0.0010 .998  
22 G01 G15 2 0.0011 .997  
21 G04 G17 2 0.0013 .996  
20 G03 G16 2 0.0014 .994  
19 G06 G21 2 0.0014 .993  
18 G07 CL23 3 0.0033 .989  
17 CL19 CL18 5 0.0055 .984  
16 G09 G12 2 0.0055 .978  
15 CL22 G08 3 0.0061 .972  
14 CL21 G05 3 0.0062 .966  
13 G10 G22 2 0.0083 .958  
12 CL15 G13 4 0.0085 .949  
11 G23 G24 2 0.0096 .940  
10 CL20 G20 3 0.0100 .930  
9 CL12 CL16 6 0.0161 .914  
8 CL14 G18 4 0.0177 .896  
7 G02 CL10 4 0.0216 .874  
6 CL7 CL24 6 0.0274 .847  
5 CL8 CL13 6 0.0334 .814  
4 CL9 CL17 11 0.0520 .762  
3 CL4 CL6 17 0.1524 .609  
2 CL5 CL11 8 0.1761 .433  
1 CL3 CL2 25 0.4332 .000  

The TREE Procedure
Ward's Minimum Variance Cluster Analysis

Proc Tree Graph Output

Obs Goblet Id X1 X2 X3 X4 X5 X6 Y1 Y2 Y3 Y4 Y5 Y6 CLUSTER
1 G01 1 13 21 23 14 7 8 2.56495 3.04452 3.13549 2.63906 1.94591 2.07944 1
2 G02 2 14 14 24 19 5 9 2.63906 2.63906 3.17805 2.94444 1.60944 2.19722 1
3 G03 3 19 23 24 20 6 12 2.94444 3.13549 3.17805 2.99573 1.79176 2.48491 1
4 G04 4 17 18 16 16 11 8 2.83321 2.89037 2.77259 2.77259 2.39790 2.07944 2
5 G05 5 19 20 16 16 10 7 2.94444 2.99573 2.77259 2.77259 2.30259 1.94591 2
6 G06 6 12 20 24 17 6 9 2.48491 2.99573 3.17805 2.83321 1.79176 2.19722 1
7 G07 7 12 19 22 16 6 10 2.48491 2.94444 3.09104 2.77259 1.79176 2.30259 1
8 G08 8 12 22 25 15 7 7 2.48491 3.09104 3.21888 2.70805 1.94591 1.94591 1
9 G09 9 11 15 17 11 6 5 2.39790 2.70805 2.83321 2.39790 1.79176 1.60944 1
10 G10 10 11 13 14 11 7 4 2.39790 2.56495 2.63906 2.39790 1.94591 1.38629 2
11 G11 11 12 20 25 18 5 12 2.48491 2.99573 3.21888 2.89037 1.60944 2.48491 1
12 G12 12 13 21 23 15 9 8 2.56495 3.04452 3.13549 2.70805 2.19722 2.07944 1
13 G13 13 12 15 19 12 5 6 2.48491 2.70805 2.94444 2.48491 1.60944 1.79176 1
14 G14 14 13 22 26 17 7 10 2.56495 3.09104 3.25810 2.83321 1.94591 2.30259 1
15 G15 15 14 22 26 15 7 9 2.63906 3.09104 3.25810 2.70805 1.94591 2.19722 1
16 G16 16 14 19 20 17 5 10 2.63906 2.94444 2.99573 2.83321 1.60944 2.30259 1
17 G17 17 15 16 15 15 9 7 2.70805 2.77259 2.70805 2.70805 2.19722 1.94591 2
18 G18 18 19 21 20 16 9 10 2.94444 3.04452 2.99573 2.77259 2.19722 2.30259 2
19 G19 19 12 20 26 16 7 10 2.48491 2.99573 3.25810 2.77259 1.94591 2.30259 1
20 G20 20 17 20 27 18 6 14 2.83321 2.99573 3.29584 2.89037 1.79176 2.63906 1
21 G21 21 13 20 27 17 6 9 2.56495 2.99573 3.29584 2.83321 1.79176 2.19722 1
22 G22 22 9 9 10 7 4 3 2.19722 2.19722 2.30259 1.94591 1.38629 1.09861 2
23 G23 23 8 8 7 5 2 2 2.07944 2.07944 1.94591 1.60944 0.69315 0.69315 2
24 G24 24 9 9 8 4 2 2 2.19722 2.19722 2.07944 1.38629 0.69315 0.69315 2
25 G25 25 12 19 27 18 5 12 2.48491 2.94444 3.29584 2.89037 1.60944 2.48491 1

The PRINCOMP Procedure

Observations 25
Variables 6

Simple Statistics
  Y1 Y2 Y3 Y4 Y5 Y6
Mean 2.561951641 2.844274309 2.959403315 2.620027251 1.781518004 1.989762181
StD 0.225418155 0.298772253 0.379250058 0.403626404 0.408554735 0.522535167

Correlation Matrix
  Y1 Y2 Y3 Y4 Y5 Y6
Y1 Ln(Mouth Width) 1.0000 0.7131 0.5281 0.7401 0.7383 0.7102
Y2 Ln(Total Width) 0.7131 1.0000 0.8963 0.8866 0.7426 0.8991
Y3 Ln(Total Height) 0.5281 0.8963 1.0000 0.9006 0.5716 0.9256
Y4 Ln(Base Width) 0.7401 0.8866 0.9006 1.0000 0.7385 0.9571
Y5 Ln(Stem Width) 0.7383 0.7426 0.5716 0.7385 1.0000 0.6228
Y6 Ln(Stem Height) 0.7102 0.8991 0.9256 0.9571 0.6228 1.0000

Eigenvalues of the Correlation Matrix
  Eigenvalue Difference Proportion Cumulative
1 4.88171452 4.22878560 0.8136 0.8136
2 0.65292892   0.1088 0.9224

Eigenvectors
  Prin1 Prin2
Y1 Ln(Mouth Width) 0.366970 0.572295
Y2 Ln(Total Width) 0.431756 -.107684
Y3 Ln(Total Height) 0.408161 -.494587
Y4 Ln(Base Width) 0.439145 -.116905
Y5 Ln(Stem Width) 0.365251 0.571383
Y6 Ln(Stem Height) 0.431355 -.275899

Plot of Prin1 * Prin2 = CLUSTER