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EXERCISE

Mathematical Foundations

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1. Start up UCINET 6

 

2. Set default folder to your datafiles folder (probably c:\program files\analytic technologies\ucinet 6\datafiles)

 

3. Go to Data|Unpack and unpack the Wiring dataset. This will create a series of datasets, one for each relation in the Wiring dataset. Here’s how to fill out the form:

 

 

The output is mostly new datasets that you will find on the hard disk. However, the output log will tell you the names of the files created:

 

UNPACK MULTI-RELATION DATASET

--------------------------------------------------------------------------------

 

Input dataset:                C:\Data\DataFiles\wiring

 

Creating the following datasets:

                              C:\Data\DataFiles\RDGAM

                              C:\Data\DataFiles\RDCON

                              C:\Data\DataFiles\RDPOS

                              C:\Data\DataFiles\RDNEG

                              C:\Data\DataFiles\RDHLP

                              C:\Data\DataFiles\RDJOB

 

 

----------------------------------------

Running time:  00:00:01

Output generated:  12 Jul 04 21:58:34

Copyright (c) 1999-2004 Analytic Technologies

 

4. Display “rdgam” dataset created in the step above. Should look like this:

 

DISPLAY

--------------------------------------------------------------------------------

 

Width of field:               MIN

# of decimals:                MIN

Rows to display:              all

Columns to display:           all

Row partition:               

Column partition:            

Input dataset:                C:\Program Files\Ucinet 6\datafiles\rdgam

 

 

RDGAM

 

                          1 1 1 1 1

        1 2 3 4 5 6 7 8 9 0 1 2 3 4

        I I W W W W W W W W W S S S

        - - - - - - - - - - - - - -

  1 I1  0 0 1 1 1 1 0 0 0 0 0 0 0 0

  2 I3  0 0 0 0 0 0 0 0 0 0 0 0 0 0

  3 W1  1 0 0 1 1 1 1 0 0 0 0 1 0 0

  4 W2  1 0 1 0 1 1 0 0 0 0 0 1 0 0

  5 W3  1 0 1 1 0 1 1 0 0 0 0 1 0 0

  6 W4  1 0 1 1 1 0 1 0 0 0 0 1 0 0

  7 W5  0 0 1 0 1 1 0 0 1 0 0 1 0 0

  8 W6  0 0 0 0 0 0 0 0 1 1 1 0 0 0

  9 W7  0 0 0 0 0 0 1 1 0 1 1 0 0 1

 10 W8  0 0 0 0 0 0 0 1 1 0 1 0 0 1

 11 W9  0 0 0 0 0 0 0 1 1 1 0 0 0 1

 12 S1  0 0 1 1 1 1 1 0 0 0 0 0 0 0

 13 S2  0 0 0 0 0 0 0 0 0 0 0 0 0 0

 14 S4  0 0 0 0 0 0 0 0 1 1 1 0 0 0

 

 

6.  Run Network|Cohesion|Distance. Use RDGAM as the input dataset as follows:

 

 

The output should be this:

 

DISTANCE

--------------------------------------------------------------------------------

 

Type of data:                 ADJACENCY

Nearness transform:           NONE

Input dataset:                C:\Program Files\Ucinet 6\datafiles\rdgam

 

For each pair of nodes, the algorithm finds the # of edges in the shortest path

between them.

Average distance (among reachable pairs) = 2.091

Distance-based cohesion = 0.462

  (range 0 to 1; larger values indicate greater cohesiveness)

Distance-weighted Fragmentation = 0.538

 

 

 

Geodesic Distances

 

                          1 1 1 1 1

        1 2 3 4 5 6 7 8 9 0 1 2 3 4

        I I W W W W W W W W W S S S

        - - - - - - - - - - - - - -

  1 I1  0   1 1 1 1 2 4 3 4 4 2   4

  2 I3    0                        

  3 W1  1   0 1 1 1 1 3 2 3 3 1   3

  4 W2  1   1 0 1 1 2 4 3 4 4 1   4

  5 W3  1   1 1 0 1 1 3 2 3 3 1   3

  6 W4  1   1 1 1 0 1 3 2 3 3 1   3

  7 W5  2   1 2 1 1 0 2 1 2 2 1   2

  8 W6  4   3 4 3 3 2 0 1 1 1 3   2

  9 W7  3   2 3 2 2 1 1 0 1 1 2   1

 10 W8  4   3 4 3 3 2 1 1 0 1 3   1

 11 W9  4   3 4 3 3 2 1 1 1 0 3   1

 12 S1  2   1 1 1 1 1 3 2 3 3 0   3

 13 S2                          0 

 14 S4  4   3 4 3 3 2 2 1 1 1 3   0

 

Distance matrix saved as dataset GeodesicDistance

 

----------------------------------------

Running time:  00:00:01

Output generated:  08 Jul 03 08:42:33

Copyright (c) 1999-2000 Analytic Technologies

 

Note that some distances could not be computed. This is because the network is disconnected – there are two isolates.

 

7. Verify the disconnectedness of the network by using NetDraw to draw a picture of RDGAM. (In Ucinet, press the Netdraw button. When Netdraw starts up, press open file button and select rdgam.) You should get this:

 

Note the two isolates at the top left.

 

8.  Run Network|Regions|Components|Simple graphs. Use RDGAM as the input dataset. The result shows 3 components. In addition, the end of the output indicates that a dataset called InMainComp was created.

 

COMPONENTS

--------------------------------------------------------------------------------

 

Input dataset:                C:\Program Files\Ucinet 6\datafiles\rdgam

 

Kind of Components: WEAK

 

3 components found.

 

NODE    COMPONENT

I1      1

I3      2

W1      1

W2      1

W3      1

W4      1

W5      1

W6      1

W7      1

W8      1

W9      1

S1      1

S2      3

S4      1

 

Components with 3 or more members:

   1:  I1 W1 W2 W3 W4 W5 W6 W7 W8 W9 S1 S4

 

Component size heterogeneity: 0.255

Normalized heterogeneity: 0.275

Entropy: 0.509

Normalized entropy: 0.193

Fragmentation: 0.275

 

Component-by-actor indicator matrix saved as dataset Components_Sets

Partition vector saved as dataset Components_Partition

Main component indicator vector saved as dataset InMainComp

 

----------------------------------------

Running time:  00:00:01

Output generated:  08 Jul 03 08:43:59

Copyright (c) 1999-2000 Analytic Technologies

 

9. Display InMainComp to understand what it is. It looks like this:

 

        1

        M

        -

  1 I1  1

  2 I3  0

  3 W1  1

  4 W2  1

  5 W3  1

  6 W4  1

  7 W5  1

  8 W6  1

  9 W7  1

 10 W8  1

 11 W9  1

 12 S1  1

 13 S2  0

 14 S4  1

 

The file is a column vector of 1s and 0s. A 1 indicates that the node is a member of the main component and a 0 indicates that the node is not a member of the main component.

 

10. Use InMainComp to extract the main component of Games as follows. Go to Data|Extract. Fill out prompts as follows:

 

 

(Note: if the goal is to extract the main component from a network, there is an easier way. Simply go to Data|Extract Main Component.)

 

11. Use Network|Cohesion|Distance to obtain geodesic distances on MainGamesNet. Verify that all distances are now computable.

 

12. Run Network|Cohesion|Maximum Flow on MainGamesNet. Can also run on RdGam for comparison.

 

13. Run Network|Cohesion|Point Connectivity on MainGamesNet (can also run on RdGam for comparison).

 

14. Run Network|Regions|BiComponent on MainGamesNet.

 

15. Run Network|Network Properties|Density on MainGamesNet and RDGAM.

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