`nwdyads`

Dyad census

Syntax

nwdyads 
[netname]

Description

Returns the dyad census of a network (or a list of networks). This is a way to characterize a network based on its dyads.

In directed networks, each dyad (pair of nodes i and j) can be one of the following:

1) M: mutually connected: M_ij = M_ji = 1

2) A: asymmetrically connected: M_ij = 1, but M_ji = 0

3) N: not connected at all: M_ij = M_ji = 1

In undirected network, each dyad (pair of nodes i and j) can be one of the following:

1) M: connected: M_ij = M_ji = 1

2) N: unconnected: M_ij = M_ji = 0

The command also returns the reciprocity of the network.

reciprocity = M / (M + A)

Examples

. nwwebuse florentine

. nwdyads flomarriage
Dyad census: flomarriage
Mutualc Null
hline 11c +hline 11
20c 100
. nwwebuse glasgow
. nwdyads glasgow3
Dyad census: glasgow3
Mutualc Asymc Null
hline 11c +hline 11c +hline 11
45c 32c 1148

Supported network types

Binary: yes (only) - the dyad census (mutual/asymmetric/null) is inherently a presence/absence classification. Directed: yes - a directed network gets the full M/A/N census; an undirected network collapses to M/N only (every tie is definitionally mutual). Weighted: not applicable. Signed: not applicable. Two-mode: not checked.

Stored results

Scalars:
r(_100) mutual dyads
r(_010) asymmetric dyads
r(_001) null dyads
r(reciprocity) M / (M + A)
Macros:
r(name) name of network

nwdyads