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Preserving relationships between variables with MIVQUE based imputation for missing survey data

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  • Gelein, Brigitte
  • Haziza, David
  • Causeur, David

Abstract

Item nonresponse is often dealt with through imputation. Marginal imputation, which consists of treating separately each variable requiring imputation, generally leads to biased estimators of parameters (e.g., coefficients of correlation) measuring relationships between variables. Shao and Wang (2002) proposed a joint imputation procedure and showed that it leads to asymptotically unbiased estimators of coefficients of correlation. In this paper, we propose a modification of the Shao–Wang procedure, where initial imputed values obtained using this method, are modified so as to satisfy calibration constraints, which corresponds to MIVQUE estimators of model parameters. When the bivariate distribution of the variables being imputed is symmetric or exhibits a low degree of asymmetry, the proposed procedure is shown to be significantly more efficient than the Shao–Wang procedure in terms of mean square error. Results from a simulation study supports our findings.

Suggested Citation

  • Gelein, Brigitte & Haziza, David & Causeur, David, 2014. "Preserving relationships between variables with MIVQUE based imputation for missing survey data," Journal of Multivariate Analysis, Elsevier, vol. 131(C), pages 197-208.
    • Handle: RePEc:eee:jmvana:v:131:y:2014:i:c:p:197-208
    DOI: 10.1016/j.jmva.2014.06.020
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    References listed on IDEAS

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    1. Rao, C. Radhakrishna, 1971. "Estimation of variance and covariance components--MINQUE theory," Journal of Multivariate Analysis, Elsevier, vol. 1(3), pages 257-275, September.
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    5. Jae Kwang Kim & Mingue Park, 2010. "Calibration Estimation in Survey Sampling," International Statistical Review, International Statistical Institute, vol. 78(1), pages 21-39, April.
    6. Jean‐François Beaumont, 2005. "Calibrated imputation in surveys under a quasi‐model‐assisted approach," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(3), pages 445-458, June.
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    1. Damião N. Da Silva & Li‐Chun Zhang, 2021. "A calibrated imputation method for secondary data analysis of survey data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 48(1), pages 25-41, March.

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