sna (version 2.8)

mutuality: Find the Mutuality of a Graph

Description

Returns the mutuality scores of the graphs indicated by g in dat.

Usage

mutuality(dat, g=NULL)

Value

One or more mutuality scores

Arguments

dat

one or more input graphs.

g

a vector indicating which elements of dat should be analyzed; by default, all graphs are included.

Author

Carter T. Butts

Details

The mutuality of a digraph G is defined as the number of complete dyads (i.e., i<->j) within G. (Compare this to dyadic reciprocity, the fraction of dyads within G which are symmetric.) Mutuality is commonly employed as a measure of reciprocal tendency within the p* literature; although mutuality can be very hard to interpret in practice, it is much better behaved than many alternative measures.

References

Moreno, J.L., and Jennings, H.H. (1938). ``Statistics of Social Configurations.'' Sociometry, 1, 342-374.

See Also

grecip

Examples

#Create some random graphs
g<-rgraph(15,3)

#Get mutuality and reciprocity scores
mutuality(g)
grecip(g)         #Compare with mutuality