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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.
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.
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.
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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