. do example.do

. * nwcommands tutorial 13: positions and structural equivalence
. * Requires the core nwcommands.
. set graphics off

. nwwebuse sampson, nwclear

. nwsummarize samplike
--------------------------------------------------
   Network name:  samplike
   Network id:  4
   Directed: true
   Valued: true
   Two-mode: false
   Nodes: 18
   Selfloop: false
   Arcs: 88
   Minimum value:  0
   Maximum value:  3
   Density:  .288
   Temporal: false

. 
. * 1. How different are two nodes' tie profiles?
. nwdissimilar samplike, type(euclidean) name(dist)

. nwdissimilar samplike, type(jaccard) name(jdist)

. nwsimilar samplike, name(sim)

. nwsummarize sim
--------------------------------------------------
   Network name:  sim
   Network id:  7
   Directed: true
   Valued: true
   Two-mode: false
   Nodes: 18
   Selfloop: false
   Arcs: 304
   Minimum value:  -.392
   Maximum value:  .945
   Density:  .993
   Temporal: false

. 
. * 2. Hierarchical clustering of the nodes
. nwhierarchy samplike, type(jaccard) linkage(averagelinkage) groups(3) equivgen(equiv)

. tabulate equiv faction

           |             faction
     equiv |     Loyal   Outcasts      Turks |     Total
-----------+---------------------------------+----------
         1 |         0          0          7 |         7 
         2 |         0          4          0 |         4 
         3 |         7          0          0 |         7 
-----------+---------------------------------+----------
     Total |         7          4          7 |        18 

. nwdendrogram _nwhierarchy_role, label(_nwnode)

. graph export "dendrogram_sampson.svg", replace
(file dendrogram_sampson.svg not found)
file dendrogram_sampson.svg saved as SVG format

. 
. * 3. Blocks with CONCOR
. nwconcor samplike, generate(block) splits(2)
----------------------------------------
  Network name: samplike
  Splits: 2   Blocks found: 4

      block |      Freq.     Percent        Cum.
------------+-----------------------------------
          1 |          7       38.89       38.89
          2 |          3       16.67       55.56
          3 |          4       22.22       77.78
          4 |          4       22.22      100.00
------------+-----------------------------------
      Total |         18      100.00
 

. tabulate block faction

           |             faction
     block |     Loyal   Outcasts      Turks |     Total
-----------+---------------------------------+----------
         1 |         0          0          7 |         7 
         2 |         0          3          0 |         3 
         3 |         3          1          0 |         4 
         4 |         4          0          0 |         4 
-----------+---------------------------------+----------
     Total |         7          4          7 |        18 

. 
. * 4. Spectral partition
. nwspectral samplike, generate(fiedler) bipartition
----------------------------------------
  Network name: samplike
  Connected components: 1
  Algebraic connectivity: 3.403

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     fiedler |         18    2.56e-09    .2425356  -.4544007   .3320163
 

. tabulate fiedlersign faction

fiedlersig |             faction
         n |     Loyal   Outcasts      Turks |     Total
-----------+---------------------------------+----------
        -1 |         0          4          6 |        10 
         1 |         7          0          1 |         8 
-----------+---------------------------------+----------
     Total |         7          4          7 |        18 

.