. do example.do

. * nwcommands tutorial 12: dyads, triads and motifs
. * Requires the core nwcommands.
. 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. The dyad census
. nwdyads samplike
(note: tie values are ignored; this measure is binary)

    Dyad census:  samplike

    Mutual |      Asym |      Null
-----------+-----------+-----------
        28 |        32 |        93
 
    Reciprocity: .467

. 
. * 2. The triad census
. nwtriads samplike
(note: tie values are ignored; this measure is binary)
----------------------------------------
  Network name: samplike
----------------------------------------
    Measure: binary
    Average clustering coefficient: .44
    Global clustering coefficient: .407
 

    Triad census:  samplike

       003 |       012 |      021D |      021U |
-----------+-----------+-----------+-----------+
       167 |       205 |        12 |        24 |

      021C |      030T |      030C |       102 |
-----------+-----------+-----------+-----------+
        24 |         5 |         0 |       190 |

      120D |      120U |      120C |      111D |
-----------+-----------+-----------+-----------+
        15 |         6 |         5 |        68 |

      111U |       201 |       210 |       300 |
-----------+-----------+-----------+-----------+
        34 |        35 |        18 |         8 |

     Transitivity: .407

. 
. * 3. Clustering and transitivity
. nwclustering samplike, generate(clu)
----------------------------------------
  Network name: samplike
----------------------------------------
    Measure: binary
    Average clustering coefficient: .44
    Global clustering coefficient: .407
 

. summarize clu

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
         clu |         18    .4400548    .2156577   .1666667          1

. 
. * 4. Motifs
. nwmotifs samplike
(note: tie values are ignored; this measure is binary)
Note: samplike is directed - the 4-node motif census below
treats every tie as undirected (a directed 4-node census has 218
distinct isomorphism classes and is not attempted here); see
nwtriads for a genuinely directed 3-node census.

    4-node motif census: samplike

          path |          star |         cycle |           paw |
---------------+---------------+---------------+---------------+
           444 |           126 |            53 |           298 |

       diamond |            k4 |      disconn. |
---------------+---------------+---------------+
            91 |            24 |          2024 |

. 
. * 5. Signed networks: structural balance
. nwset, mat((0,1,1,-1\1,0,1,-1\1,1,0,1\-1,-1,1,0)) undirected labs(A,B,C,D) name(signed)

. nwbalance signed
----------------------------------------
  Network name: signed
----------------------------------------
    Closed triad: 4
    Balanced triad: 2
    Unbalanced triad: 2

.