NETWORK >COMPARE DENSITIES>PAIRED (SAME NODES)
PURPOSE Give a statistical test for the comparison of the densities of two networks in which the actors are paired.
DESCRIPTION This routine uses a bootstrap technique to compare the densities of two not necessarily independent networks with the same actors. This method is analogous to the classical paired sample t-test for estimating the standard error of the difference. Its main use would be in comparing the same relation on the same set of actors at two different time points.
PARAMETERS 1st Network
Name of UCINET dataset containing one of the datasets to be compared. Data type: Valued graph
Name of UCINET dataset containing the same actors (in the same order) as the 1st dataset. Data type: Valued graph.
Number of Samples
Gives the number of times sampling with replacement is used to construct the distribution.
LOG FILE The output gives the density of both matrices together with the difference and the number of samples taken. This is followed by a classical t-test. The estimated bootstrap standard errors are then reported together with the bootstrap standard error of the differences, the bootstrap 95% confidence intervals and the bootstrap t-statistic assuming independent samples. The bootstrap standard error, confidence interval, t-statistic and average value are then reported for the paired samples. Finally the proportion of differences (absolute, as large as and as small as) to the observed values are given.
REFERENCES Tom A.B. Snijders and Stephen P. Borgatti (1999) Non-Parametric Standard Errors and Tests for Network Statistics. Connections 22(2): 1-11