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Population Variance Estimation Using Factor Type Imputation Method

Author

Listed:
  • Pandey Ranjita

    (Department of Statistics, University of Delhi, New Delhi, India)

  • Yadav Kalpana

    (Department of Statistics, University of Delhi, New Delhi, India)

Abstract

We propose a variance estimator based on factor type imputation in the presence of non-response. Properties of the proposed classes of estimators are studied and their optimality conditions are derived. The proposed classes of facto r type ratio estimators are shown to be more efficient than some of the existing estimators, namely, the usual unbiased estimator of variance, ratio-type, dual to ratio type and ratio cum dual to ratio estimators. Their performances are assessed on the basis of relative efficiencies. Findings are illustrated based on a simulated and real data set.

Suggested Citation

  • Pandey Ranjita & Yadav Kalpana, 2017. "Population Variance Estimation Using Factor Type Imputation Method," Statistics in Transition New Series, Statistics Poland, vol. 18(3), pages 375-392, September.
    • Handle: RePEc:vrs:stintr:v:18:y:2017:i:3:p:375-392:n:2
    DOI: 10.21307/stattrans-2016-076
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    References listed on IDEAS

    as
    1. M. Garcia & A. Cebrian, 1996. "Repeated substitution method: The ratio estimator for the population variance," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 43(1), pages 101-105, December.
    2. Agrawal, M. C. & Sthapit, A. B., 1995. "Unbiased ratio-type variance estimation," Statistics & Probability Letters, Elsevier, vol. 25(4), pages 361-364, December.
    Full references (including those not matched with items on IDEAS)

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