ERIC Number: EJ1094308
Record Type: Journal
Publication Date: 2016-Apr
Abstractor: As Provided
Power to Detect Intervention Effects on Ensembles of Social Networks
Sweet, Tracy M.; Junker, Brian W.
Journal of Educational and Behavioral Statistics, v41 n2 p180-204 Apr 2016
The hierarchical network model (HNM) is a framework introduced by Sweet, Thomas, and Junker for modeling interventions and other covariate effects on ensembles of social networks, such as what would be found in randomized controlled trials in education research. In this article, we develop calculations for the power to detect an intervention effect using the hierarchical latent space model, an important subfamily of HNMs. We derive basic convergence results and asymptotic bounds on power, showing that standard error for the treatment effect is inversely proportional to the product of the number of ties and the number of networks; a result rather different from the usual effect of cluster size in hierarchical linear models, for example. We explore these results with a simulation study and suggest a tentative approach to power for practical applications.
Descriptors: Intervention, Social Networks, Statistical Analysis, Computation, Error of Measurement, Hierarchical Linear Modeling, Network Analysis, Sample Size
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