actorAdjTable: Compute actor size adjustment on a two way table
Description
When two objects are related through a bipartite graph it is
sometimes appropriate to carry out special adjustments. One of the
adjustments is called actor size adjustment. In this case the counts
are adjusted according to how often the objects are referenced.
A small quantity used to assess approximate equality.
Value
An adjusted two way table, with elements named u11,
u12, u21 and u22.
Details
When testing for associations between entities, the social networks
literature has developed a number of tools to help measure such
associations. We can think of genes (actors) as being joined by citation
in papers (events) and having two genes cited in the same paper (equivalent
to two actors attending the same event) suggests that they are related
to each other. However, some genes are cited in many papers and so
we might want to discount the level of importance, as compared to genes
that are cited less often. And additionally, some papers cite very
many genes, and hence typically say less about them than a paper that
cites rather fewer genes.
References
Testing Gene Associations Using Co-citation, by B. Ding and
R. Gentleman. Bioconductor Technical Report, 2004