A Latent Space Model for Cognitive Social Structures Data
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This paper introduces a novel approach for modeling a set of directed, binary networks in the context of cognitive social structures (CSSs) data. We rely on a generalized linear model that incorporates a bilinear structure to model transitivity effects within networks, and a hierarchical specification on the bilinear effects to borrow information across networks. The model is designed to allow for a formal evaluation of the accuracy of actors' perception about their position in social space, and to obtain a consensus representation of the social space that accounts for differential perceptual acuity among actors. The performance of the model is evaluated using simulated data as well as two real CSSs reported in the literature.
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