The network has a high clustering coefficient. This typically results in alternating between the Tie-Non-Tie (TNT) proposal and a triad-focused proposal along the lines of that of WaAt13a;textualergm.
# triadic(triFocus = 0.25, type="OTP")# .triadic(triFocus = 0.25, type = "OTP")
A number between 0 and 1, indicating how often triad-focused proposals should be made relative to the standard proposals.
A string indicating the type of shared partner or path to be considered for directed networks: "OTP"
(default for directed), "ITP"
, "RTP"
, "OSP"
, and "ISP"
; has no effect for undirected. See the section below on Shared partner types for details.
While there is only one shared partner configuration in the undirected
case, nine distinct configurations are possible for directed graphs, selected
using the type
argument. Currently, terms may be defined with respect to
five of these configurations; they are defined here as follows (using
terminology from Butts (2008) and the relevent
package):
Outgoing Two-path ("OTP"
): vertex \(k\) is an OTP shared partner of ordered
pair \((i,j)\) iff \(i \to k \to j\). Also known as "transitive
shared partner".
Incoming Two-path ("ITP"
): vertex \(k\) is an ITP shared partner of ordered
pair \((i,j)\) iff \(j \to k \to i\). Also known as "cyclical shared
partner"
Reciprocated Two-path ("RTP"
): vertex \(k\) is an RTP shared partner of ordered
pair \((i,j)\) iff \(i \leftrightarrow k \leftrightarrow j\).
Outgoing Shared Partner ("OSP"
): vertex \(k\) is an OSP shared partner of
ordered pair \((i,j)\) iff \(i \to k, j \to k\).
Incoming Shared Partner ("ISP"
): vertex \(k\) is an ISP shared partner of ordered
pair \((i,j)\) iff \(k \to i, k \to j\).
By default, outgoing two-paths ("OTP"
) are calculated. Note that Robins et al. (2009)
define closely related statistics to several of the above, using slightly different terminology.
If given a bipartite network, the dotted form will skip silently, whereas the plain form will raise an error, since triadic effects are not possible in bipartite networks. The dotted form is thus suitable as a default argument when the bipartitedness of the network is not known a priori.
ergmHint
for index of constraints and hints currently visible to the package.
ergm:::.formatTermKeywords("ergmHint", "triadic", "subsection")