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**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

**2nd Network**

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.

**TIMING **

**COMMENTS**

**REFERENCES **Tom A.B. Snijders and Stephen P. Borgatti (1999) Non-Parametric Standard Errors and Tests for Network Statistics. Connections 22(2): 1-11