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Double-calibration estimators accounting for under-coverage and nonresponse in socio-economic surveys

Author

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  • Maria Michela Dickson

    (University of Trento)

  • Giuseppe Espa

    (University of Trento)

  • Lorenzo Fattorini

    (University of Siena)

  • Flavio Santi

    (University of Verona)

Abstract

Under-coverage and nonresponse problems are jointly present in most socio-economic surveys. The purpose of this paper is to propose an estimation strategy that accounts for both problems by performing a two-step calibration. The first calibration exploits a set of auxiliary variables only available for the units in the sampled population to account for nonresponse. The second calibration exploits a different set of auxiliary variables available for the whole population, to account for under-coverage. The two calibrations are then unified in a double-calibration estimator. Mean and variance of the estimator are derived up to the first order of approximation. Conditions ensuring approximate unbiasedness are derived and discussed. The strategy is empirically checked by a simulation study performed on a set of artificial populations. A case study is derived from the European Union Statistics on Income and Living Conditions survey data. The strategy proposed is flexible and suitable in most situations in which both under-coverage and nonresponse are present.

Suggested Citation

  • Maria Michela Dickson & Giuseppe Espa & Lorenzo Fattorini & Flavio Santi, 2022. "Double-calibration estimators accounting for under-coverage and nonresponse in socio-economic surveys," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(5), pages 1273-1288, December.
    • Handle: RePEc:spr:stmapp:v:31:y:2022:i:5:d:10.1007_s10260-022-00630-9
    DOI: 10.1007/s10260-022-00630-9
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    References listed on IDEAS

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    4. Lorenzo Fattorini & Timothy G. Gregoire & Sara Trentini, 2018. "The Use of Calibration Weighting for Variance Estimation Under Systematic Sampling: Applications to Forest Cover Assessment," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 23(3), pages 358-373, September.
    5. Kott, Phillip S. & Chang, Ted, 2008. "Can Calibration Be Used to Adjust for “Nonignorable” Nonresponse?," NASS Research Reports 234387, United States Department of Agriculture, National Agricultural Statistics Service.
    6. repec:ags:unassr:234387 is not listed on IDEAS
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