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While some content, that the blockmodeling is just clustering methods, [[Phillip Bonacich|Bonacich]] and [[Maureen J. McConaghy|McConaghy]] state, that "it is a theoretically grounded and algebraic approach to the analysis of the structure of relations". Blockmodeling's unique ability lies in the fact, that it considers the structure not just as a set of direct relations, but also take into a fact all other possible compound relations, that are based on the direct ones.<ref>{{cite journal |last1=Bonacich |first1=Phillip |last2=McConaghy |first2=Maureen J. |date=1980 |title=The Algebra of Blockmodeling |url= |journal=Sociological Methodology |volume=11 |issue= |pages=489–532 |doi=10.2307/270873 }}</ref>
The principles of blockmodeling were first introduced by [[Francois Lorrain]] and [[Harrison C. White]] in 1971.<ref name="Examples, 1999, pp. 5–34"/> Blockmodeling is considered as "an important set of network analytic tools" as it deals with delineation of role structures (the well-defined places in social structures, also known as positions) and the discerning the fundamental structure of social networks.<ref name="gener-black">{{Cite book |last1=Doreian |first1=Patrick |last2=Batagelj |first2=Vladimir |last3=Ferligoj |first3=Anuška |title=Generalized Blackmodeling |publisher=Cambridge University Press |date=2005 |isbn=0-521-84085-6}}</ref>{{rp|2, 3}} According to [[Vladimir Batagelj|Batagelj]], the primary "goal of blockmodeling is to reduce a large, potentially incoherent network to a smaller comprehensible structure that can be interpreted more readily".<ref>{{cite journal |last1=Batagelj |first1=Vladimir |date=1999 |title=Generalized Blockmodeling |url= |journal=Informatica |volume=23 |issue= |pages=501-506 |doi=}}</ref> Blockmodeling was at first used for analysis in [[sociometry]] and [[psychometry]], but has now spread also to other sciences.<ref>[https://www.iioa.org/conferences/16th/files/Papers/Weber%20Introducing%20blockmodeling%20to%20input-output%20analysis.doc WEBER, M. (2007), “Introducing blockmodeling to input-output analysis”. 16th International I-Ot Conf, Istanbul, Turkey.]</ref>
== Definition ==
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Equivalence can have two basic approaches: the equivalent units have the same connection pattern to the same neighbors or these units have same or similar connection pattern to different neighbors. If the units are connected to the rest of network in identical ways, then they are structurally equivalent.<ref name="mrvar.fdv.uni-lj.si"/> Units can also be regularly equivalent, when they are equivalently connected to equivalent others.<ref name="Examples, 1999, pp. 5–34"/>
With blockmodeling, it is necessary to consider the issue of results being affected by measurement errors in the initial stage of acquiring the data.<ref name="Absent Ties in Social Networks, the">{{cite journal |last1=Žnidaršič |first1=Anja |last2=Doreian |first2=Patrick |last3=Ferligoj |first3=Anuška |date=2012 |title=Absent Ties in Social Networks, their Treatments, and Blockmodeling Outcomes |url= |journal=Metodološki zvezki |volume=9 |issue=2 |pages=119–138 |doi=}}
== Different approaches ==
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