triad_uman: Triad census analysis assuming U|MAN

In anespinosa/netmem: Social Network Measures using Matrices

Triad census analysis assuming U|MAN

Description

Considering the triad census of Davis and Leinhardt (1972) for vector A, B, and C:

Usage

triad_uman(A, ztest = FALSE, covar = FALSE)

Arguments

A	A symmetric matrix object
ztest	Return Z and p-value
covar	Return the covarianc matrix for triadic analysis

Details

003 = A,B,C, empty triad

012 = A -> B, C, triad with a single directed edge

102 = A <-> B, C, triad with a reciprocated connection between two vertices

021D = A <-B-> C, triadic out-star

021U = A -> B <- C triadic in-star

021C = A-> B-> C, directed line

111D = A <-> B <-C

111U = A <-> B-> C

030T = A-> B <-C, A-> C

030C = A <-B <-C, A-> C

201 = A <-> B <-> C

120D = A <-B-> C, A <-> C

120U = A-> B <-C, A <->C

120C = A-> B-> C, A <-> C

210 = A-> B <-> C, A <-> C

300 = A <-> B <-> C, A <->C, complete triad.

Value

This function gives the counts of the triad census, the expected counts, assuming that U|MAN distribution (Holland and Leinhardt, 1975, 1976) is operating, and the standard deviations of these counts.

Author(s)

Alejandro Espinosa-Rada

References

Davis, J.A. and Leinhardt, S. (1972). The Structure of Positive Interpersonal Relations in Small Groups. In J. Berger (Ed.), Sociological Theories in Progress, Volume 2, 218-251. Boston: Houghton Mifflin.

Holland, P. W. and Leinhardt, S. (1975). The statistical analysis of local structure in social networks. In D. R. Heise (Ed.), Sociological Methodology, 1976 (Jossey-Bass, pp. 1–45).

Holland, P. W. and Leinhardt, S. (1976). Local Structure in Social Networks. Sociological Methodology, 7, 1–45. doi: https://doi.org/10.2307/270703

Wasserman, S. and Faust, K. (1994). Social network analysis: Methods and applications. Cambridge University Press.

Examples

data(krackhardt_friends)
triad_uman(krackhardt_friends)
## Not run: 
triad_uman(krackhardt_friends, ztest = TRUE, covar = TRUE)

## End(Not run)

anespinosa/netmem documentation built on April 5, 2025, 5:02 p.m.