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Balancing a sample almost perfectly

Author

Listed:
  • Leuenberger, Michael
  • Eustache, Esther
  • Jauslin, Raphaël
  • Tillé, Yves

Abstract

With a simple modification, we propose a strong improvement of the quality of balancing with the cube method. The units are sorted in descending order according to their Mahalanobis distances to the center of the multivariate data cloud of balancing variables. We then apply the fast implementation of the cube method. The rounding problem on the balancing variables is greatly reduced.

Suggested Citation

  • Leuenberger, Michael & Eustache, Esther & Jauslin, Raphaël & Tillé, Yves, 2022. "Balancing a sample almost perfectly," Statistics & Probability Letters, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:stapro:v:180:y:2022:i:c:s0167715221001917
    DOI: 10.1016/j.spl.2021.109229
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    References listed on IDEAS

    as
    1. F. J. Breidt & G. Chauvet, 2012. "Penalized balanced sampling," Biometrika, Biometrika Trust, vol. 99(4), pages 945-958.
    2. Guillaume Chauvet & Yves Tillé, 2006. "A fast algorithm for balanced sampling," Computational Statistics, Springer, vol. 21(1), pages 53-62, March.
    3. Jean-Claude Deville & Yves Tille, 2004. "Efficient balanced sampling: The cube method," Biometrika, Biometrika Trust, vol. 91(4), pages 893-912, December.
    4. Hasler, Caren & Tillé, Yves, 2014. "Fast balanced sampling for highly stratified population," Computational Statistics & Data Analysis, Elsevier, vol. 74(C), pages 81-94.
    5. G. Chauvet & J.-C. Deville & D. Haziza, 2011. "On balanced random imputation in surveys," Biometrika, Biometrika Trust, vol. 98(2), pages 459-471.
    Full references (including those not matched with items on IDEAS)

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