In mathematics applied to analysis of social structures, homogeneity blockmodeling is an approach in
blockmodeling
Blockmodeling is a set or a coherent framework, that is used for analyzing social structure and also for setting procedure(s) for partitioning (clustering) social network's units ( nodes, vertices, actors), based on specific patterns, which form ...
, which is best suited for a preliminary or main approach to
valued network
Value or values may refer to:
Ethics and social
* Value (ethics) wherein said concept may be construed as treating actions themselves as abstract objects, associating value to them
** Values (Western philosophy) expands the notion of value beyo ...
s, when a prior knowledge about these networks is not available. This is due to the fact, that homogeneity blockmodeling emphasizes the similarity of link (tie) strengths within the blocks over the pattern of links. In this approach, tie (link) values (or statistical data computed on them) are assumed to be equal (homogenous) within blocks.
This approach to the
generalized blockmodeling of valued networks was first proposed by
Aleš Žiberna
Aleš Žiberna is a Slovene statistician, whose specialty is network analysis. His specific research interests include blockmodeling, multivariate analysis and computer intensive methods (e.g., computer simulations, resampling methods).
Curr ...
in
2007
File:2007 Events Collage.png, From top left, clockwise: Steve Jobs unveils Apple's first iPhone; TAM Airlines Flight 3054 overruns a runway and crashes into a gas station, killing almost 200 people; Former Pakistani Prime Minister Benazir Bhutto ...
with the basic idea, "that the inconsistency of an empirical block with its
ideal block can be measured by within block variability of appropriate values". The newly–formed ideal blocks, which are appropriate for blockmodeling of valued networks, are then presented together with the definitions of their block inconsistencies. Similar approach to the homogeneity blockmodeling, dealing with direct approach for
structural equivalence
Similarity in network analysis occurs when two nodes (or other more elaborate structures) fall in the same equivalence class.
There are three fundamental approaches to constructing measures of network similarity: structural equivalence, automor ...
, was previously suggested by
Stephen P. Borgatti and
Martin G. Everett (1992).
References
See also
*
Generalized blockmodeling of binary networks
Generalized blockmodeling of binary networks (also relational blockmodeling) is an approach of generalized blockmodeling, analysing the binary network(s).
As most network analyses deal with binary networks, this approach is also considered as t ...
*
implicit blockmodeling
Implicit blockmodeling is an approach in blockmodeling, similar to a valued and homogeneity blockmodeling, where initially an additional normalization is used and then while specifying the parameter of the relevant link is replaced by the block m ...
*
blockmodeling linked networks Blockmodeling linked networks is an approach in blockmodeling in analysing the linked networks. Such approach is based on the generalized multilevel blockmodeling approach. The main objective of this approach is to achieve clustering of the node ...
*
Homogeneity and heterogeneity
Homogeneity and heterogeneity are concepts often used in the sciences and statistics relating to the uniformity of a substance or organism. A material or image that is homogeneous is uniform in composition or character (i.e. color, shape, siz ...
Blockmodeling
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