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Nonresponse adjustment using auxiliary variables subject themselves to missing data

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  • Skinner, Chris
  • Lawson, Nuanpan

Abstract

Nonresponse is a significant matter that cannot be denied in a sample survey. Declining response rates lead to increasing nonresponse bias which affects the estimated bias. Nonresponse adjustment can be used to deal with unit nonresponse by using nonresponse weight. Two possible models in which missingness in an ancillary database may be correlated with missingness in a survey are considered in this study for estimating the population mean when nonresponse occurs on both the study and auxiliary variables. Two auxiliary variables where one auxiliary variable is fully observed and some part of the other is missing are considered in the possible models. Simulation studies are carried on to see how the nonresponse adjustment using auxiliary variables that subject themselves to nonresponse work under the possible models. The simulation results show that the weighted mean performed the best in removing the bias and gave the minimum mean square error compared to the unweighted mean which was affected by nonresponse.

Suggested Citation

  • Skinner, Chris & Lawson, Nuanpan, 2025. "Nonresponse adjustment using auxiliary variables subject themselves to missing data," LSE Research Online Documents on Economics 127875, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:127875
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    File URL: http://eprints.lse.ac.uk/127875/
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    References listed on IDEAS

    as
    1. repec:mpr:mprres:4937 is not listed on IDEAS
    2. Nuanpan Lawson & Chris Skinner, 2017. "Estimation of a cluster-level regression model under nonresponse within clusters," METRON, Springer;Sapienza Università di Roma, vol. 75(3), pages 319-331, December.
    3. Ted Chang & Phillip S. Kott, 2008. "Using calibration weighting to adjust for nonresponse under a plausible model," Biometrika, Biometrika Trust, vol. 95(3), pages 555-571.
    4. Brady T. West & Roderick J. A. Little, 2013. "Non-response adjustment of survey estimates based on auxiliary variables subject to error," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 62(2), pages 213-231, March.
    5. repec:mpr:mprres:4780 is not listed on IDEAS
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    More about this item

    Keywords

    nonresponse adjustment; missing data; propensity score weights; logistic regression; auxiliary variables; bias; mean square error;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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