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Adjusted jackknife for imputation under unequal probability sampling without replacement

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  • Yves G. Berger
  • J. N. K. Rao

Abstract

Summary. Imputation is commonly used to compensate for item non‐response in sample surveys. If we treat the imputed values as if they are true values, and then compute the variance estimates by using standard methods, such as the jackknife, we can seriously underestimate the true variances. We propose a modified jackknife variance estimator which is defined for any without‐replacement unequal probability sampling design in the presence of imputation and non‐negligible sampling fraction. Mean, ratio and random‐imputation methods will be considered. The practical advantage of the method proposed is its breadth of applicability.

Suggested Citation

  • Yves G. Berger & J. N. K. Rao, 2006. "Adjusted jackknife for imputation under unequal probability sampling without replacement," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(3), pages 531-547, June.
    • Handle: RePEc:bla:jorssb:v:68:y:2006:i:3:p:531-547
    DOI: 10.1111/j.1467-9868.2006.00555.x
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    Cited by:

    1. Rebecca R. Andridge & Roderick J. A. Little, 2010. "A Review of Hot Deck Imputation for Survey Non‐response," International Statistical Review, International Statistical Institute, vol. 78(1), pages 40-64, April.
    2. Yves G. Berger, 2020. "An empirical likelihood approach under cluster sampling with missing observations," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 72(1), pages 91-121, February.
    3. Berger, Yves G. & Muñoz, Juan F. & Rancourt, Eric, 2009. "Variance estimation of survey estimates calibrated on estimated control totals--An application to the extended regression estimator and the regression composite estimator," Computational Statistics & Data Analysis, Elsevier, vol. 53(7), pages 2596-2604, May.
    4. Muñoz Rosas, Juan Francisco & Alvarez Verdejo, Encarnación, 2009. "Métodos de imputación para el tratamiento de datos faltantes: aplicación mediante R/Splus = Imputation methods to handle the problem of missing data: an application using R/Splus," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 7(1), pages 3-30, June.

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