Publications [#289009] of David L. Banks
Papers Published
- Carley, K; Banks, DL. "Nonparametric Inference for Network Data." Journal of Mathematical Sociology 18.1 (1993): 1-26. [doi]
(last updated on 2026/01/16)Abstract:
Various theoretical concerns often require researchers to answer questions of the form does co-membership in a group predict other ties between those individuals. Data appropriate for answering such a question often is referred to as network data. Network data exhibits row-column dependencies that often invalidate traditional statistical methods for doing group comparisons such as analysis of variance and the Kruskal-Wallis Procedure. Because of the positive dependence within rows/columns the significance probabilities of such traditional methods may be exaggerated. This paper uses restricted-randomization to develop exact permutation tests for network data where co-membership in groups can be specified a priori. This enables the nonparametric estimation of the significance of standard statistics for group-difference tests and ordered-alternative tests where the group orderings have been prespecified. These methods are demonstrated by examining three different data sets: Sampson's Monastery data, Carley's Tutor Selection data, and Humana's Human Rights data. © 1993, Taylor & Francis Group, LLC. All rights reserved.