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netseg (version 1.0-3)

gamix: Gupta-Anderson-May measure of within-group mixing

Description

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

Usage

gamix(object, ...)

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

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

# S3 method for default gamix(object, ...)

Value

Numerical value of the measure.

Arguments

object

R object, see Details for available methods

...

other objects passed to/from other methods

vattr

character, name of vertex attribute

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

Run this code
gamix(WhiteKinship, "gender")
gamix(EF3, "race")

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