A new algorithm for latent root regression analysis

  • Authors:
  • Evelyne Vigneau;El Mostafa Qannari

  • Affiliations:
  • ENITIAA/INRA, Unité de Sensométrie et de Chimiométrie, La Géraudière, B.P. 82225, 44322 Nantes Cedex 3, France;ENITIAA/INRA, Unité de Sensométrie et de Chimiométrie, La Géraudière, B.P. 82225, 44322 Nantes Cedex 3, France

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2002

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Abstract

New properties of latent root regression are shown aiding insight into the determination of a prediction model. Moreover, a procedure for the determination of a prediction model is discussed. It has similarities to partial least squares and differ from the latter method only in the way components used as predictors are formed. This procedure is extended to the case where the problem at hand concerns the prediction of more than one variable. The method is illustrated using real data sets.