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Sample selection bias with multiple dependent selection rules: an application to survey data analysis with multilevel nonresponse

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Listed:
  • Alireza Rezaee

    (Shahid Beheshti University)

  • Mojtaba Ganjali

    (Shahid Beheshti University)

  • Ehsan Bahrami Samani

    (Shahid Beheshti University)

Abstract

The microdata of surveys are valuable resources for analyzing and modeling relationships between variables of interest. These microdata are often incomplete because of nonresponses in surveys and, if not considered, may lead to model misspecification and biased results. Nonresponse variable is usually assumed as a binary variable, and it is used to construct a sample selection model in many researches. However, this variable is a multilevel variable related to its reasons of occurring. Missing mechanism may differ among the levels of nonresponse, and merging the levels of nonresponse may cause bias in the results of the analysis. In this paper, a method is proposed for analyzing survey data with respect to reasons for the nonresponse based on sample selection model. Each nonresponse level is considered as a selection rule, and classical Heckman model is extended. Simulation studies and an analysis of a real data set from an establishment survey are presented to demonstrate the performance and practical usefulness of the proposed method.

Suggested Citation

  • Alireza Rezaee & Mojtaba Ganjali & Ehsan Bahrami Samani, 2022. "Sample selection bias with multiple dependent selection rules: an application to survey data analysis with multilevel nonresponse," Swiss Journal of Economics and Statistics, Springer;Swiss Society of Economics and Statistics, vol. 158(1), pages 1-15, December.
  • Handle: RePEc:spr:sjecst:v:158:y:2022:i:1:d:10.1186_s41937-022-00089-1
    DOI: 10.1186/s41937-022-00089-1
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    References listed on IDEAS

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    1. Rebecca Vassallo & Gabriele B. Durrant & Peter W. F. Smith & Harvey Goldstein, 2015. "Interviewer effects on non-response propensity in longitudinal surveys: a multilevel modelling approach," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 178(1), pages 83-99, January.
    2. James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 475-492, National Bureau of Economic Research, Inc.
    3. Catsiapis, George & Robinson, Chris, 1982. "Sample selection bias with multiple selection rules : An application to student aid grants," Journal of Econometrics, Elsevier, vol. 18(3), pages 351-368, April.
    4. Lee, Lung-fei & Maddala, G S & Trost, R P, 1980. "Asymptotic Covariance Matrices of Two-Stage Probit and Two-Stage Tobit Methods for Simultaneous Equations Models with Selectivity," Econometrica, Econometric Society, vol. 48(2), pages 491-503, March.
    5. George Catsiapis & Chris Robinson, 1978. "Sample Selection Bias with Two Selection Rules: An Application to Student Aid Grants," University of Western Ontario, Departmental Research Report Series 7833, University of Western Ontario, Department of Economics.
    6. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    7. Durrant, Gabriele B. & Steele, Fiona, 2009. "Multilevel modelling of refusal and non-contact in household surveys: evidence from six UK Government surveys," LSE Research Online Documents on Economics 50112, London School of Economics and Political Science, LSE Library.
    8. Gabriele B. Durrant & Fiona Steele, 2009. "Multilevel modelling of refusal and non‐contact in household surveys: evidence from six UK Government surveys," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 172(2), pages 361-381, April.
    9. Jolani, Shahab, 2014. "An analysis of longitudinal data with nonignorable dropout using the truncated multivariate normal distribution," Journal of Multivariate Analysis, Elsevier, vol. 131(C), pages 163-173.
    10. Christian Seiler, 2010. "Dynamic Modelling of Nonresponse in Business Surveys," ifo Working Paper Series 93, ifo Institute - Leibniz Institute for Economic Research at the University of Munich.
    11. Steele, Fiona & Durrant, Gabriele B., 2011. "Alternative approaches to multilevel modelling of survey non-contact and refusal," LSE Research Online Documents on Economics 50113, London School of Economics and Political Science, LSE Library.
    12. Christoph Engel & Peter G. Moffatt, 2014. "dhreg, xtdhreg, and bootdhreg: Commands to implement double-hurdle regression," Stata Journal, StataCorp LP, vol. 14(4), pages 778-797, December.
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