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Estimation of a cluster-level regression model under nonresponse within clusters

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  • Nuanpan Lawson

    (King Mongkut’s University of Technology North Bangkok)

  • Chris Skinner

    (London School of Economics and Political Science)

Abstract

When sample surveys are clustered and subject to non-response, it is possible to study cluster-level association between response rates and cluster-level quantities derived from survey variables. The existence of association may suggest informative nonresponse with possible biasing effects. In this paper, this problem is studied for the case where the aim is to fit a cluster-level regression model. Two possible underlying models for nonresponse with potential biasing effects are considered. Alternative estimators of regression coefficients under these models are proposed. The properties of these estimators are studied in two simulation studies and with real data from a survey of employees, where the clusters consist of workplaces.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:metron:v:75:y:2017:i:3:d:10.1007_s40300-017-0120-4
    DOI: 10.1007/s40300-017-0120-4
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    References listed on IDEAS

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    4. Bryson, Alex & Dale-Olsen, Harald & Barth, Erling, 2009. "How does innovation affect worker well-being?," LSE Research Online Documents on Economics 27781, London School of Economics and Political Science, LSE Library.
    5. Ying Yuan & Roderick J. A. Little, 2007. "Parametric and Semiparametric Model-Based Estimates of the Finite Population Mean for Two-Stage Cluster Samples with Item Nonresponse," Biometrics, The International Biometric Society, vol. 63(4), pages 1172-1180, December.
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    Cited by:

    1. Jean D. Opsomer & M. Giovanna Ranalli & Maria Michela Dickson, 2017. "Foreword to the special issue on “Advances in Survey Statistics”," METRON, Springer;Sapienza Università di Roma, vol. 75(3), pages 245-247, December.
    2. Alok Kumar Shukla & Subhash Kumar Yadav, 2020. "New linear model for optimal cluster size in cluster sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 21(2), pages 189-200, June.
    3. Shukla Alok Kumar & Yadav Subhash Kumar, 2020. "New linear model for optimal cluster size in cluster sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 21(2), pages 189-200, June.

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