SlideShare a Scribd company logo
1 of 14
Cluster Example
A B C D E F G
A 0.0
B 2.0 0.0
C 3.7 4.0 0.0
D 1.5 2.5 4.0 0.0
E 2.5 1.5 4.1 3.2 0.0
F 3.7 3.9 1.8 3.8 4.0 0.0
G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
Cluster Example
A B C D E F G
A 0.0
B 2.0 0.0
C 3.7 4.0 0.0
D 1.5 2.5 4.0 0.0
E 2.5 1.5 4.1 3.2 0.0
F 3.7 3.9 1.8 3.8 4.0 0.0
G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
A
D
B
E
C
F
G
1 2 3 4 5 6
A
D
B
E
C
F
G
1 2 3 4 5 6
Cluster Example
A B C D E F G
A 0.0
B 2.0 0.0
C 3.7 4.0 0.0
D 1.5 2.5 4.0 0.0
E 2.5 1.5 4.1 3.2 0.0
F 3.7 3.9 1.8 3.8 4.0 0.0
G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
A
D
B
E
C
F
G
1 2 3 4 5 6
Cluster Example
A B C D E F G
A 0.0
B 2.0 0.0
C 3.7 4.0 0.0
D 1.5 2.5 4.0 0.0
E 2.5 1.5 4.1 3.2 0.0
F 3.7 3.9 1.8 3.8 4.0 0.0
G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
A
D
B
E
C
F
G
1 2 3 4 5 6
Cluster Example
A B C D E F G
A 0.0
B 2.0 0.0
C 3.7 4.0 0.0
D 1.5 2.5 4.0 0.0
E 2.5 1.5 4.1 3.2 0.0
F 3.7 3.9 1.8 3.8 4.0 0.0
G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
A
D
B
E
C
F
G
1 2 3 4 5 6
Cluster Example
A B C D E F G
A 0.0
B 2.0 0.0
C 3.7 4.0 0.0
D 1.5 2.5 4.0 0.0
E 2.5 1.5 4.1 3.2 0.0
F 3.7 3.9 1.8 3.8 4.0 0.0
G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
A
D
B
E
C
F
G
1 2 3 4 5 6
Cluster Example
A B C D E F G
A 0.0
B 2.0 0.0
C 3.7 4.0 0.0
D 1.5 2.5 4.0 0.0
E 2.5 1.5 4.1 3.2 0.0
F 3.7 3.9 1.8 3.8 4.0 0.0
G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
A
D
B
E
C
F
G
1 2 3 4 5 6
Cluster Example
A B C D E F G
A 0.0
B 2.0 0.0
C 3.7 4.0 0.0
D 1.5 2.5 4.0 0.0
E 2.5 1.5 4.1 3.2 0.0
F 3.7 3.9 1.8 3.8 4.0 0.0
G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
A
D
B
E
C
F
G
1 2 3 4 5 6
Cluster Example
A B C D E F G
A 0.0
B 2.0 0.0
C 3.7 4.0 0.0
D 1.5 2.5 4.0 0.0
E 2.5 1.5 4.1 3.2 0.0
F 3.7 3.9 1.8 3.8 4.0 0.0
G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
A
D
B
E
C
F
G
1 2 3 4 5 6
Cluster Example
A B C D E F G
A 0.0
B 2.0 0.0
C 3.7 4.0 0.0
D 1.5 2.5 4.0 0.0
E 2.5 1.5 4.1 3.2 0.0
F 3.7 3.9 1.8 3.8 4.0 0.0
G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
A
D
B
E
C
F
G
1 2 3 4 5 6
Cluster Example
A B C D E F G
A 0.0
B 2.0 0.0
C 3.7 4.0 0.0
D 1.5 2.5 4.0 0.0
E 2.5 1.5 4.1 3.2 0.0
F 3.7 3.9 1.8 3.8 4.0 0.0
G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
A
D
B
E
C
F
G
1 2 3 4 5 6
Cluster Example
A B C D E F G
A 0.0
B 2.0 0.0
C 3.7 4.0 0.0
D 1.5 2.5 4.0 0.0
E 2.5 1.5 4.1 3.2 0.0
F 3.7 3.9 1.8 3.8 4.0 0.0
G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
Ward’s Clustering Procedure
First Stage: A = 2 B = 5 C = 9 D = 10 E = 15
Second Stage: AB = 4.5 BD = 12.5
AC = 24.5 BE = 50.0
AD = 32.0 CD = 0.5
AE = 84.5 CE = 18.0
BC = 8.0 DE = 12.5
Third Stage: CDA = 38.0 CDB = 14.0 CDE = 20.66 AB = 5.0
AE = 85.0 BE = 50.5
Fourth Stage: ABCD = 41.0 ABE= 93.17 CDE = 25.18
Fifth Stage: ABCDE = 98.8
A
98.80
Ward’s Minimum Variance
Agglomerative Clustering Procedure
B C D E
25.18
5.00
0.50

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Marketing Engineering-segmentation-Cluster Example

  • 1. Cluster Example A B C D E F G A 0.0 B 2.0 0.0 C 3.7 4.0 0.0 D 1.5 2.5 4.0 0.0 E 2.5 1.5 4.1 3.2 0.0 F 3.7 3.9 1.8 3.8 4.0 0.0 G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
  • 2. Cluster Example A B C D E F G A 0.0 B 2.0 0.0 C 3.7 4.0 0.0 D 1.5 2.5 4.0 0.0 E 2.5 1.5 4.1 3.2 0.0 F 3.7 3.9 1.8 3.8 4.0 0.0 G 5.4 5.6 5.3 5.8 5.9 6.0 0.0 A D B E C F G 1 2 3 4 5 6
  • 3. A D B E C F G 1 2 3 4 5 6 Cluster Example A B C D E F G A 0.0 B 2.0 0.0 C 3.7 4.0 0.0 D 1.5 2.5 4.0 0.0 E 2.5 1.5 4.1 3.2 0.0 F 3.7 3.9 1.8 3.8 4.0 0.0 G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
  • 4. A D B E C F G 1 2 3 4 5 6 Cluster Example A B C D E F G A 0.0 B 2.0 0.0 C 3.7 4.0 0.0 D 1.5 2.5 4.0 0.0 E 2.5 1.5 4.1 3.2 0.0 F 3.7 3.9 1.8 3.8 4.0 0.0 G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
  • 5. A D B E C F G 1 2 3 4 5 6 Cluster Example A B C D E F G A 0.0 B 2.0 0.0 C 3.7 4.0 0.0 D 1.5 2.5 4.0 0.0 E 2.5 1.5 4.1 3.2 0.0 F 3.7 3.9 1.8 3.8 4.0 0.0 G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
  • 6. A D B E C F G 1 2 3 4 5 6 Cluster Example A B C D E F G A 0.0 B 2.0 0.0 C 3.7 4.0 0.0 D 1.5 2.5 4.0 0.0 E 2.5 1.5 4.1 3.2 0.0 F 3.7 3.9 1.8 3.8 4.0 0.0 G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
  • 7. A D B E C F G 1 2 3 4 5 6 Cluster Example A B C D E F G A 0.0 B 2.0 0.0 C 3.7 4.0 0.0 D 1.5 2.5 4.0 0.0 E 2.5 1.5 4.1 3.2 0.0 F 3.7 3.9 1.8 3.8 4.0 0.0 G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
  • 8. A D B E C F G 1 2 3 4 5 6 Cluster Example A B C D E F G A 0.0 B 2.0 0.0 C 3.7 4.0 0.0 D 1.5 2.5 4.0 0.0 E 2.5 1.5 4.1 3.2 0.0 F 3.7 3.9 1.8 3.8 4.0 0.0 G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
  • 9. A D B E C F G 1 2 3 4 5 6 Cluster Example A B C D E F G A 0.0 B 2.0 0.0 C 3.7 4.0 0.0 D 1.5 2.5 4.0 0.0 E 2.5 1.5 4.1 3.2 0.0 F 3.7 3.9 1.8 3.8 4.0 0.0 G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
  • 10. A D B E C F G 1 2 3 4 5 6 Cluster Example A B C D E F G A 0.0 B 2.0 0.0 C 3.7 4.0 0.0 D 1.5 2.5 4.0 0.0 E 2.5 1.5 4.1 3.2 0.0 F 3.7 3.9 1.8 3.8 4.0 0.0 G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
  • 11. A D B E C F G 1 2 3 4 5 6 Cluster Example A B C D E F G A 0.0 B 2.0 0.0 C 3.7 4.0 0.0 D 1.5 2.5 4.0 0.0 E 2.5 1.5 4.1 3.2 0.0 F 3.7 3.9 1.8 3.8 4.0 0.0 G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
  • 12. A D B E C F G 1 2 3 4 5 6 Cluster Example A B C D E F G A 0.0 B 2.0 0.0 C 3.7 4.0 0.0 D 1.5 2.5 4.0 0.0 E 2.5 1.5 4.1 3.2 0.0 F 3.7 3.9 1.8 3.8 4.0 0.0 G 5.4 5.6 5.3 5.8 5.9 6.0 0.0
  • 13. Ward’s Clustering Procedure First Stage: A = 2 B = 5 C = 9 D = 10 E = 15 Second Stage: AB = 4.5 BD = 12.5 AC = 24.5 BE = 50.0 AD = 32.0 CD = 0.5 AE = 84.5 CE = 18.0 BC = 8.0 DE = 12.5 Third Stage: CDA = 38.0 CDB = 14.0 CDE = 20.66 AB = 5.0 AE = 85.0 BE = 50.5 Fourth Stage: ABCD = 41.0 ABE= 93.17 CDE = 25.18 Fifth Stage: ABCDE = 98.8
  • 14. A 98.80 Ward’s Minimum Variance Agglomerative Clustering Procedure B C D E 25.18 5.00 0.50