Abstract The linkset model is defined for parametrizing the general 2^n contingency table. The linkset parameters are designed to represent latent influences that promote the co-occurrences of binary events beyond that explained by chance. Linkages involving 2 through n binary variables are included in this parametrization. The intent of this process is to elucidate the patterns of linkage, no matter how complex they might be, rather than to fit simplifying models. The relationship between linkset parameters and the natural parameters for a 2n table are derived, and large sample inference methods are provided. Examples are given from medical diagnostics, survival from the Titanic sinking, and employment discrimination in Chicago.
Categorical Data Analysis
Aickin, Mikel, "The Linkset Model for 2^n Contingency Tables" (May 2010). COBRA Preprint Series. Working Paper 68.