Blockmodeling Empirical Examples

1
Blockmodeling Empirical Examples

• Use the Country trade data
• Directed data on 5 relations among nations
• MANUFACTURED GOODS
• FOODS non-symmetric
• CRUDE MATERIALS
• MINERALS
• DIPLOMATIC_EXCHANGE

2
Blockmodeling Empirical Examples
Manufacturing
3
Blockmodeling Empirical Examples
Run a CONCOR block-model on the data
4
Blockmodeling Empirical Examples
Run a CONCOR block-model on the data
5
CONCOR
6
CONCOR
7
CONCOR
8
CONCOR
9
CONCOR
10
An alternative is to cluster on the Euclidian
Distance
11
An alternative is to cluster on the Euclidian
Distance
12
An alternative is to cluster on the Euclidian
Distance
13
An alternative is to cluster on the Euclidian
Distance
ltMANUFACTUREgt 1 1 1 1
2 1 2 2 1 1 1 2 1 1 2
2 1 4 0 8 5 0 6 3 2 3 8 7 5 9
4 7 3 9 2 1 6 1 4 I A L
H E M S E J U U S E C F C P B S A T N I Y
--------------------------------
----------------------- 12 ISRAEL
1 1 1 1 1 1 1 1 1 1 1
-----------------------------
---------------------------- 1 ALGERIA
1 1 1
1 14 LIBERIA
10
HONDURAS 1
8 ETHIOPIA
1 1 15
MADAGASCAR 1
20 SYRIA

6 ECUADOR 1
1
--------------------------------------------------
------- 13 JAPAN 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 22
UNITED_KINGDOM 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 23 UNITED_STATES 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
18 SPAIN 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1
--------------------------------------------------
------- 7 EGYPT 1
1 1 1 1 1 1 1 1 5
CZECHOSLOVAKIA 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 9 FINLAND 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
4 CHINA 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 17 PAKISTAN
1 1 1 1 1 1 1 1 1 1 1
1 1 3 BRAZIL 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 19
SWITZERLAND 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 2 ARGENTINA 1 1
1 1 1 1 1 1 1 1 1 1 1
21 THAILAND 1 1 1 1 1 1
1 1 1 1 1 1 1 1 16 NEW_ZEALAND
1 1 1 1 1 1 1 1 1 1
1 11 INDONESIA 1 1 1
1 1 1 1 1 1 1 1 1 1 1 24
YUGOSLAVIA 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1
--------------------------------------------------
------
Reduced BlockMatrix 1 2 3
4 ----- ----- ----- ----- 1 0.143
1.000 0.500 2 0.000 0.000 0.214 0.048 3
1.000 0.964 1.000 0.979 4 0.500 0.476 0.979
0.803
14
An alternative is to cluster on the Euclidian
Distance
ltFoodgt 1 1 1 1 2
1 2 2 1 1 1 2 1 1 2
2 1 4 0 8 5 0 6 3 2 3 8 7 5 9 4 7 3
9 2 1 6 1 4 I A L H E M
S E J U U S E C F C P B S A T N I Y
--------------------------------------
----------------- 12 ISRAEL
1 1 1 1 1 1 1 1 1 1 1 1
-----------------------------------
---------------------- 1 ALGERIA
1
14 LIBERIA 1
1 1 10 HONDURAS
1 1 1 1 1 1 1 1 1 1
1 8 ETHIOPIA 1
1 1 1 1 1 1 1 15
MADAGASCAR 1 1 1 1
1 20 SYRIA 1
1 1 6
ECUADOR 1 1 1 1
1 1 1 1 1 1 1
--------------------------------------------------
------- 13 JAPAN 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 22
UNITED_KINGDOM 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 23 UNITED_STATES 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
18 SPAIN 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
--------------------------------------------------
------- 7 EGYPT 1 1
1 1 1 1 1 1 5
CZECHOSLOVAKIA 1 1 1 1 1 1
1 1 1 1 1 9 FINLAND 1 1
1 1 1 1 1 1 1 1 1 1 1
4 CHINA 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 17 PAKISTAN
1 1 1 1 1 1 1
1 1 3 BRAZIL 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 19
SWITZERLAND 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 2 ARGENTINA 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
21 THAILAND 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 16 NEW_ZEALAND
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
11 INDONESIA 1 1 1
1 1 1 1 1 1 1 1 1 1 1 24
YUGOSLAVIA 1 1 1 1 1 1 1 1 1 1
1 1 1
--------------------------------------------------
------
Reduced BlockMatrix 1 2 3
4 ----- ----- ----- ----- 1 0.000
1.000 0.667 2 0.286 0.048 0.643 0.238 3
1.000 0.786 1.000 0.896 4 0.583 0.357 0.917
0.689
15
An alternative is to cluster on the Euclidian
Distance
ltDiplomatic Tiesgt 1 1 1
1 2 1 2 2 1 1 1 2 1 1 2
2 1 4 0 8 5 0 6 3 2 3 8 7
5 9 4 7 3 9 2 1 6 1 4 I
A L H E M S E J U U S E C F C P B S A T N I Y
----------------------------
--------------------------- 12 ISRAEL
1 1 1 1 1 1 1 1 1 1 1 1 1
-------------------------
-------------------------------- 1
ALGERIA 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 14 LIBERIA 1
1 1 1 1 1 10
HONDURAS 1 1 1 1 1
1 1 8 ETHIOPIA 1
1 1 1 1 1 1
15 MADAGASCAR 1 1 1
1 20 SYRIA
1 1 1 1 1 1 1 1 1 1 1
1 6 ECUADOR 1 1 1 1
1 1 1 1 1 1 1 1
-------------------------------------------------
-------- 13 JAPAN 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 22
UNITED_KINGDOM 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 23 UNITED_STATES 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
18 SPAIN 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
--------------------------------------------------
------- 7 EGYPT 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5
CZECHOSLOVAKIA 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 9 FINLAND 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1
4 CHINA 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 17 PAKISTAN
1 1 1 1 1 1 1 1 1 1 1 1
1 1 3 BRAZIL 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 19
SWITZERLAND 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 2 ARGENTINA 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
21 THAILAND 1 1 1 1
1 1 1 1 1 1 1 1 1 16 NEW_ZEALAND
1 1 1 1 1 1
11 INDONESIA 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 24
YUGOSLAVIA 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1
--------------------------------------------------
------
Reduced BlockMatrix 1 2 3
4 ----- ----- ----- ----- 1 0.429
0.750 0.583 2 0.143 0.238 0.857 0.345 3
0.750 0.964 1.000 0.958 4 0.333 0.500 0.958
0.848
16
3rd Option Automorphic Equivalence
17
3rd Option Automorphic Equivalence
If your network is small, you might choose ALL
PERMS from above
But it takes awhile.
18
3rd Option Automorphic Equivalence
19
3rd Option Automorphic Equivalence
ltManufacturegt 1 1
1 2 1 1 2 2 1 1 1 2 1 1 2
1 6 8 0 5 4 0 3 8 2 3 9 7
5 3 4 7 2 9 2 1 6 1 4 A E
E H M L S J S U U F E C B C P I S A T N I
Y --------------------------
------------------------------- 1
ALGERIA 1 1 1
1 6 ECUADOR
1 1
----------------------------------
------------------------- 8 ETHIOPIA
1 1
10 HONDURAS
1 15
MADAGASCAR 1

--------------------------------------------------
--------- 14 LIBERIA
20
SYRIA

--------------------------------------------------
--------- 13 JAPAN 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 18
SPAIN 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 22 UNITED_KINGDOM 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
23 UNITED_STATES 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1
--------------------------------------------------
--------- 9 FINLAND 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7
EGYPT 1 1 1 1 1 1 1
1 1 5 CZECHOSLOVAKIA 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
3 BRAZIL 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 4 CHINA
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 17 PAKISTAN 1 1
1 1 1 1 1 1 1 1 1 1 1 12
ISRAEL 1 1 1 1 1 1
1 1 1 1 1 19 SWITZERLAND 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2
ARGENTINA 1 1 1 1 1 1
1 1 1 1 1 1 1 21 THAILAND
1 1 1 1 1 1 1 1 1 1 1 1 1
1 16 NEW_ZEALAND 1 1 1
1 1 1 1 1 1 1 1 11
INDONESIA 1 1 1 1 1 1 1 1
1 1 1 1 1 1 24 YUGOSLAVIA 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
-------------------------------
---------------------------
Reduced BlockMatrix 1 2 3 4
5 ----- ----- ----- ----- ----- 1
0.000 0.000 0.000 0.250 0.154 2 0.000 0.000
0.000 0.333 0.000 3 0.000 0.000 0.000 0.000
0.000 4 1.000 0.917 1.000 1.000 0.981 5
0.538 0.359 0.500 0.981 0.756
20
3rd Option Automorphic Equivalence
ltFoodgt 1 1 1 2
1 1 2 2 1 1 1 2 1 1 2
1 6 8 0 5 4 0 3 8 2 3 9 7 5 3 4
7 2 9 2 1 6 1 4 A E E H
M L S J S U U F E C B C P I S A T N I Y
--------------------------------
------------------------- 1 ALGERIA
1
6 ECUADOR 1
1 1 1 1 1 1 1 1 1 1
---------------------------------------------
-------------- 8 ETHIOPIA
1 1 1 1 1 1 1 1 10
HONDURAS 1 1 1 1 1 1 1
1 1 1 1 15 MADAGASCAR
1 1 1 1 1
---------------------------
-------------------------------- 14
LIBERIA 1 1
1 20 SYRIA 1
1 1
----------------------------------
------------------------- 13 JAPAN
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 18 SPAIN 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 22
UNITED_KINGDOM 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 23 UNITED_STATES 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 -------------------------
---------------------------------- 9
FINLAND 1 1 1 1 1 1 1 1
1 1 1 1 1 7 EGYPT 1
1 1 1 1 1 1 1
5 CZECHOSLOVAKIA 1 1 1 1 1
1 1 1 1 1 1 3 BRAZIL
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 4 CHINA 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 17
PAKISTAN 1 1 1 1 1 1
1 1 1 12 ISRAEL
1 1 1 1 1 1 1 1 1 1 1 1
19 SWITZERLAND 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 2 ARGENTINA
1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 21 THAILAND 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 16
NEW_ZEALAND 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 11 INDONESIA 1
1 1 1 1 1 1 1 1 1 1 1 1 1
24 YUGOSLAVIA 1 1 1 1 1
1 1 1 1 1 1 1 1
------------------------------------------------
----------
Reduced BlockMatrix 1 2 3 4
5 ----- ----- ----- ----- ----- 1
0.000 0.000 0.000 0.625 0.269 2 0.000 0.000
0.167 0.917 0.308 3 0.250 0.000 0.000 0.250
0.115 4 0.625 0.750 1.000 1.000 0.904 5
0.538 0.103 0.462 0.923 0.679
21
3rd Option Automorphic Equivalence
ltDiplomaticgt 1 1
1 2 1 1 2 2 1 1 1 2 1 1 2
1 6 8 0 5 4 0 3 8 2 3 9 7
5 3 4 7 2 9 2 1 6 1 4 A E
E H M L S J S U U F E C B C P I S A T N I
Y --------------------------
------------------------------- 1
ALGERIA 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 6 ECUADOR 1
1 1 1 1 1 1 1 1 1 1 1
----------------------------------
------------------------- 8 ETHIOPIA
1 1 1 1 1 1
1 10 HONDURAS 1 1 1
1 1 1 1 15
MADAGASCAR 1 1 1
1
--------------------------------------------------
--------- 14 LIBERIA 1
1 1 1 1 1 20
SYRIA 1 1 1 1 1 1 1
1 1 1 1 1
--------------------------------------------------
--------- 13 JAPAN 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 18
SPAIN 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 22 UNITED_KINGDOM 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
23 UNITED_STATES 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1
--------------------------------------------------
--------- 9 FINLAND 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 7
EGYPT 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 5 CZECHOSLOVAKIA 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
3 BRAZIL 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 4 CHINA
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 17 PAKISTAN 1 1
1 1 1 1 1 1 1 1 1 1 1 1 12
ISRAEL 1 1 1 1 1 1 1 1 1
1 1 1 1 19 SWITZERLAND 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2
ARGENTINA 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 21 THAILAND
1 1 1 1 1 1 1 1 1 1 1
1 1 16 NEW_ZEALAND 1
1 1 1 1 1 11
INDONESIA 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 24 YUGOSLAVIA 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
-------------------------------
---------------------------
Reduced BlockMatrix 1 2 3 4
5 ----- ----- ----- ----- ----- 1
0.000 0.500 0.500 1.000 0.577 2 0.333 0.000
0.167 0.750 0.154 3 0.250 0.167 0.000 0.875
0.346 4 1.000 0.917 1.000 1.000 0.942 5
0.654 0.410 0.462 0.942 0.788
22
4th Option Regular Equivalence
23
4th Option Regular Equivalence
You can tell from the dendrogram that the program
keyed off of the network periphery.