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1 results

  • On a Test of Dimensionality in Redundancy Analysis

  • Yoshio Takane, Heungsun Hwang
  • Journal:
    Psychometrika / Volume 70 / Issue 2 / June 2005
    Published online by Cambridge University Press:
    01 January 2025, pp. 271-281

  • Lazraq and Cléroux (Psychometrika, 2002, 411–419) proposed a test for identifying the number of significant components in redundancy analysis. This test, however, is ill-conceived. A major problem is that it regards each redundancy component as if it were a single observed predictor variable, which cannot be justified except for the rare situations in which there is only one predictor variable. Consequently, the proposed test leads to drastically biased results, particularly when the number of predictor variables is large, and it cannot be recommended for use. This is shown both theoretically and by Monte Carlo studies.