The purpose of this study is to present and illustrate the application of a general linear model for the analysis of test networks based on Rasch measurement models. Test networks can be used to vertically equate a set of tests which cover a wide range of difficulties. The criteria of coherence and consistency are proposed in order to assess the adequacy of the vertical equating within the test network. The method is illustrated using a set of standardized reading tests which are a part of the Achievement Series of the Comprehensive Assessment Program. (Author/BW)