Blockmodeling: Difference between revisions

Revision as of 11:18, 7 January 2023

Revision as of 07:16, 22 January 2023

Line 27:

== Different approaches ==

Regarding what kind of network is beingundergoing blockmodeledblockmodeling, different approach is necessary. Networks can be one–mode or two–mode. In former all units can be connected to any other unit and where units are of the same type, while in latter the units are connected only to the unit(s) of a different type.<ref name="gener-black"/>{{rp|6–10}} Regarding relationships between units, they can be single–relational or multi–relational networks. Further more, the networks can be temporal or multilevelandmultilevel and also binary (only 0 and 1) or signed (allowing negative ties)/values (other values are possible) networks.

Different approaches to blockmodeling can be grouped into two main classes: [[deterministic blockmodeling]] and [[stochastic blockmodeling]] approaches. Deterministic blockmodeling is then further divided into direct and indirect blockmodeling approaches.<ref name="ReferenceA"/>

Line 33:

Among direct blockmodeling approaches are: [[structural equivalence]] and [[regular equivalence]].<ref name="Examples, 1999, pp. 5–34"/> Structural equivalence is a state, when units are connected to the rest of the network in an identical way(s), while regular equivalence occurs when units are equally related to equivalent others (units are not necessarily sharing neighbors, but have neighbour that are themselves similar).<ref name="mrvar.fdv.uni-lj.si"/><ref name="gener-black"/>{{rp|24}}

[[File:Regular equivalence.jpg|thumb|Regular equivalence]]

Indirect blockmodeling approaches, where partitioning is dealt with as a traditional cluster analysis problem (measuring (dis)[[Similarity (network science)|similartysimilarity]] results in a (dis)similartiysimilarity matrix), are:<ref name="ReferenceA"/><ref name="Examples, 1999, pp. 5–34"/>

* [[conventional blockmodeling]],

* [[generalized blockmodeling]]: