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Exact balanced random imputation for sample survey data

Author

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  • Chauvet, Guillaume
  • Do Paco, Wilfried

Abstract

Surveys usually suffer from non-response, which decreases the effective sample size. Item non-response is typically handled by means of some form of random imputation if it is of interest to preserve the distribution of the imputed variable. This leads to an increased variability due to the imputation variance, and several approaches have been proposed for reducing this variability. Balanced imputation consists of selecting residuals at random at the imputation stage, in such a way that the imputation variance of the estimated total is eliminated or at least significantly reduced. The proposed implementation of balanced random imputation enables full elimination of the imputation variance. A regularized imputed estimator of a total and of a distribution function is considered, and is proved to be consistent under the proposed imputation method. Some simulation results support the findings.

Suggested Citation

  • Chauvet, Guillaume & Do Paco, Wilfried, 2018. "Exact balanced random imputation for sample survey data," Computational Statistics & Data Analysis, Elsevier, vol. 128(C), pages 1-16.
  • Handle: RePEc:eee:csdana:v:128:y:2018:i:c:p:1-16
    DOI: 10.1016/j.csda.2018.06.006
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    References listed on IDEAS

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    1. Jae Kwang Kim, 2004. "Fractional hot deck imputation," Biometrika, Biometrika Trust, vol. 91(3), pages 559-578, September.
    2. Mulry Mary H. & Oliver Broderick E. & Kaputa Stephen J., 2014. "Detecting and Treating Verified Influential Values in a Monthly Retail Trade Survey," Journal of Official Statistics, Sciendo, vol. 30(4), pages 721-747, December.
    3. Jae Kwang Kim & J. N. K. Rao, 2009. "A unified approach to linearization variance estimation from survey data after imputation for item nonresponse," Biometrika, Biometrika Trust, vol. 96(4), pages 917-932.
    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. Helene Boistard & Guillaume Chauvet & David Haziza, 2016. "Doubly Robust Inference for the Distribution Function in the Presence of Missing Survey Data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 43(3), pages 683-699, September.
    6. Guillaume Chauvet & Yves Tillé, 2006. "A fast algorithm for balanced sampling," Computational Statistics, Springer, vol. 21(1), pages 53-62, March.
    7. Jean-Claude Deville & Yves Tille, 2004. "Efficient balanced sampling: The cube method," Biometrika, Biometrika Trust, vol. 91(4), pages 893-912, December.
    8. Shao J. & Wang H., 2002. "Sample Correlation Coefficients Based on Survey Data Under Regression Imputation," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 544-552, June.
    9. G. Chauvet & J.-C. Deville & D. Haziza, 2011. "On balanced random imputation in surveys," Biometrika, Biometrika Trust, vol. 98(2), pages 459-471.
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