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1 results

  • Hierarchical Classes: Model and Data Analysis

  • Paul De Boeck, Seymour Rosenberg
  • Journal:
    Psychometrika / Volume 53 / Issue 3 / September 1988
    Published online by Cambridge University Press:
    01 January 2025, pp. 361-381

  • A discrete, categorical model and a corresponding data-analysis method are presented for two-way two-mode (objects × attributes) data arrays with 0, 1 entries. The model contains the following two basic components: a set-theoretical formulation of the relations among objects and attributes; a Boolean decomposition of the matrix. The set-theoretical formulation defines a subset of the possible decompositions as consistent with it. A general method for graphically representing the set-theoretical decomposition is described. The data-analysis algorithm, dubbed HICLAS, aims at recovering the underlying structure in a data matrix by minimizing the discrepancies between the data and the recovered structure. HICLAS is evaluated with a simulation study and two empirical applications.