Gupta-Anderson-May measure of within-group mixing

Measure of within-group mixing in networks proposed in Gupta, Anderson and May (1989).

Usage

gamix(object, ...)

# S3 method for class 'table'
gamix(object, ...)

# S3 method for class 'igraph'
gamix(object, vattr, ...)

# Default S3 method
gamix(object, ...)

Arguments

object

R object, see Details for available methods

...

other objects passed to/from other methods

vattr

character, name of vertex attribute

Value

Numerical value of the measure.

Details

The measure varies between -1/vcount(g) for dissassortative mixing and 1 for perfect within-group mixing. It takes a value of 0 for proportionate mixing.

If object is a table it is interpreted as a mixing matrix. Two-dimensional table is interpreted as a contact layer. Three-dimensional table is interpreted as a full mixing matrix \(m_{ghy}\) cross-classyfying all dyads, in which \(g\) and \(h\) correspond to group membership of ego and alter respectively. Layers \(y=1\) and \(y=2\) are assumed to be non-contact and contact layers respectively.

If object is of class "igraph" it is required to supply vattr with the name of the vertex attribute to calculate intermediate mixing matrix.

References

Gupta, S., Anderson, R., May, R. (1989) "Networks of sexual contacts: implications for the pattern of spread of HIV", AIDS 3:807–817

See also

Other segregation measures: assort(), coleman(), ei(), freeman(), orwg(), smi(), ssi()

Examples

gamix(WhiteKinship, "gender")
#> [1] -0.1625
gamix(EF3, "race")
#> [1] -0.06552707