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1 results

  • Generalized Bilinear Models

  • Vartan Choulakian
  • Journal:
    Psychometrika / Volume 61 / Issue 2 / June 1996
    Published online by Cambridge University Press:
    01 January 2025, pp. 271-283

  • Generalized bilinear models are presented for the statistical analysis of two-way arrays. These models combine bilinear models and generalized linear modeling, and yield a family of models that includes many existing models, as well as suggest other potentially useful ones. This approach both unifies and extends models for two-way arrays, including the ability to treat response and explanatory variables differently in the models, and the incorporation of external information about the variables directly into the analysis. A unifying framework for the generalized bilinear models is provided by considering four particular cases which have been proposed and used in the existing statistical literature. A three-step procedure is proposed to analyze data sets by generalized bilinear models. Two data sets of different nature are analyzed.