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Design-Based Treatment of Unit Nonresponse by the Calibration Approach

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  • Lorenzo Fattorini
  • Sara Franceschi
  • Daniela Maffei

Abstract

The use of nonresponse calibration weighting is considered in a complete design-based frameworkto account for the cases in which nonresponse is a fixed characteristic of the units, just like the interest variable. Approximate expressions of design-based bias and variance of the calibration estimator are derived and some estimators of the sampling variance are proposed. The choice of auxiliary variables is discussed from theoretical and practical point of view. The results of an extensive simulation study demonstrate how the reliability of the procedure is mainly determined by the capability of selecting auxiliary variables in such a way that their relationship with the interest variable is similar for both the respondent and nonrespondent sub-populations.

Suggested Citation

  • Lorenzo Fattorini & Sara Franceschi & Daniela Maffei, 2011. "Design-Based Treatment of Unit Nonresponse by the Calibration Approach," Department of Economics University of Siena 612, Department of Economics, University of Siena.
    • Handle: RePEc:usi:wpaper:612
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    File URL: http://repec.deps.unisi.it/quaderni/612.pdf
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    References listed on IDEAS

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    1. Yves G. Berger & Chris J. Skinner, 2005. "A jackknife variance estimator for unequal probability sampling," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(1), pages 79-89, February.
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      Keywords

      auxiliary variables; calibration estimator; variance estimator; simulation study.;
      All these keywords.

      JEL classification:

      • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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