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1 results

  • Functional Extended Redundancy Analysis

  • Heungsun Hwang, Hye Won Suk, Jang-Han Lee, D. S. Moskowitz, Jooseop Lim
  • Journal:
    Psychometrika / Volume 77 / Issue 3 / July 2012
    Published online by Cambridge University Press:
    01 January 2025, pp. 524-542

  • We propose a functional version of extended redundancy analysis that examines directional relationships among several sets of multivariate variables. As in extended redundancy analysis, the proposed method posits that a weighed composite of each set of exogenous variables influences a set of endogenous variables. It further considers endogenous and/or exogenous variables functional, varying over time, space, or other continua. Computationally, the method reduces to minimizing a penalized least-squares criterion through the adoption of a basis function expansion approach to approximating functions. We develop an alternating regularized least-squares algorithm to minimize this criterion. We apply the proposed method to real datasets to illustrate the empirical feasibility of the proposed method.