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I have checked my standard textbook (Wasserman/Faust 1994), looked in
Borgatti/Everett 1992 paper (Regular blockmodels of multiway, multimode
matrices) and elsewhere, including Googling on the web, but I haven't found
any answer so I resort to this list:
How to interpret regular blockmodels based on valued (non-categorical)
directional relations? I haven't seen it being done anywhere. References
I understand how to interpret regular blockmodels (i.e blockmodels where the
different positions are established through the notion of regular
equivalence and, for instance, REGE) for dichotomous (binary) values: as
regular equivalence is concerned with equivalent actors having relations to
actors which in turn are equivalent (instead of the strict requirements of
structural equivalence), the submatrices making up inter-positional
relations are interpreted differently in order to create block images.
However, how to do this for valued (non-categorical), directional graph? Is
something like this feasible:
1. Establish discrete role-equivalent positions using regular equivalence
(as implemented in the REGE algorithm)
2. Sort the rows/cols in the original matrix according to positional
membership (i.e create a standard "blockmodel matrix")
3. Dichotomize this matrix, using the mean density of the network as the
4. Interpret the blockmodel as it is done for regular blockmodels.
Would something like this be feasible?
Number 3 here is of course what might be problematic. Perhaps using some
other cut-off-value? Density of relations within positional submatrices in
Carl Nordlund, BA, PhD student
Human Ecology Division, Lund university
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