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L1-Regression for Multivariate Clustered Data

In: Modern Nonparametric, Robust and Multivariate Methods

Author

Listed:
  • Jaakko Nevalainen

    (University of Tampere, School of Health Sciences)

  • Denis Larocque

    (HEC Montréal, Department of Decision Sciences)

Abstract

In this chapter, we are considering L 1-type estimation for multivariate clustered data. Although valid, using the direct L 1 estimation of the regression coefficients in the clustered data setting is likely to lack efficiency since it does not use the intracluster correlation structure. A transformation–retransformation method is proposed to overcome this problem. This method first transforms the original model in an attempt to eliminate the intracluster correlation. Secondly, the L 1 estimates are obtained with the transformed data, which are then transformed back to the original scale. One particular implementation of this method is investigated in a simulation study which shows that it is more efficient than using the direct L 1 estimators.

Suggested Citation

  • Jaakko Nevalainen & Denis Larocque, 2015. "L1-Regression for Multivariate Clustered Data," Springer Books, in: Klaus Nordhausen & Sara Taskinen (ed.), Modern Nonparametric, Robust and Multivariate Methods, edition 1, chapter 0, pages 225-234, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-22404-6_13
    DOI: 10.1007/978-3-319-22404-6_13
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