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EXERCISE

Group Cohesion



Setup

 

1. Start up UCINET 6

 

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

 

3. We will be analyzing the Padgett dataset, which records marriage and business ties among Florentine families in the Renaissance. Recall that the Padgett dataset contains two relations, PADGM (marriage ties) and PADGB (business ties). For some of the measures we will be calculating, you will have to run Data|Unpack to create separate datasets for the two relations.

 

Exercise 1: Padgett data unmodified

The objective is to calculate several network-level cohesion measures for the two networks contained in the PADGETT dataset, putting the results in a spreadsheet to facilitate comparison. The results should look like this:

Measure Marriage Business
Density 0.167 0.125
inTransitivity 0.809 0.583
Compactness 0.438 0.252
Connectedness 0.875 0.458
Wholeness 0.933 0.667

 

Note that the marriage network is the more cohesive according to all measures.

 

Here's how to do it.

 

Density. Run Networks|Cohesion|Density on Padgett dataset. It will calculate density for both relations automatically.

 

inTransitivity. Run Networks|Cohesion|Transitivity on Padgett dataset. The transitivity of each network will be displayed as "Transitivity: % of ordered triples in which i-->j and j-->k that are transitive". To calculate intransitivity subtract transitivity from 1.

 

For the remaining statistics, you will need to run Data|Unpack on Padgett to create separate files for PADGM and PADGB. Then you will run the analytical procedures separately for each dataset.

 

Compactness. Run Networks|Cohesion|Distance on PADGM. Copy the compactness value. Repeat for PADGB.

 

Connectedness. Run Networks|Cohesion|Krackhardt's GTD on PADGM. Copy the connectedness value. Repeat for PADGB.

 

Wholeness. Run Networks|Regions|Components|Simple on PADGM. Note number of components. Let's call that quantity C. Now calculate 1 - (C-1)/(N-1) where N is the number of nodes in the network. Repeat for PADGB.

 

Exercise 2: Padgett data main components only

Since both networks in the Padgett dataset are disconnected (have multiple components), some measures of cohesion could not be calculated. In this exercise we will discard the isolates in each network and compute measures of cohesion on the remaining main components. The results should look like this:

Measure Marriage Business
Density 0.191 0.273
inTransitivity 0.809 0.583
Compactness 0.500 0.550
Connectedness 1.000 1.000
Wholeness 1.000 1.000
Average Distance* 2.486 2.382
Diameter* 5.000 5.000
Average Flow 1.695 1.618

*inverse measure of cohesion

 

Note that the picture is now a bit more ambiguous, but in general the business network is more cohesive.

 

The first thing you need to do is extract the main components from each network. To do this, run Data|Extract Main Component on PADGM and PADGB, creating new datasets PADGM-MAIN and PADGB-MAIN, respectively.

 

Density. Run Networks|Cohesion|Density on PADGM-MAIN. Repeat for PADGB-MAIN.

 

inTransitivity. Run Networks|Cohesion|Transitivity on PADGM-MAIN. The transitivity will be labeled "Transitivity: % of ordered triples in which i-->j and j-->k that are transitive". To calculate intransitivity, subtract transitivity from 1. Repeat for PADGB-MAIN.

 

Compactness, Average Distance & Diameter. Run Networks|Cohesion|Distance on PADGM-MAIN. Copy the compactness value and the average distance value. Note the largest distance -- this is the diameter of the network. Repeat for PADGB-MAIN.

 

Connectedness. Run Networks|Cohesion|Krackhardt's GTD on PADGM-MAIN. Copy the connectedness value. Repeat for PADGB-MAIN.

 

Wholeness. Run Networks|Regions|Components|Simple on PADGM-MAIN. Note number of components. Let's call that quantity C. Now calculate 1 - (C-1)/(N-1) where N is the number of nodes in the network. Repeat for PADGB-MAIN.

 

Average Flow. Run Networks|Cohesion|Maximum flow on PADGM-MAIN. This gets you a matrix of maximum flows between all pairs of nodes and saves a file called MAXIMUMFLOW. Then run Tools|Univariate Statistics on the MAXIMUMFLOW matrix you just created. Select "matrix" as the dimension to compute, and make sure that "use diagonal" is set to "no". Copy the value labeled "mean". Repeat both steps for PADGB-MAIN.

 

 

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