Population variance estimation using factor type imputation  method

Ranjita Pandey; Kalpana Yadav

doi:https://doi.org/10.59170/stattrans-2017-019

Population variance estimation using factor type imputation method

Ranjita Pandey Department of Statistics, University of Delhi, New Delhi. , Kalpana Yadav Department of Statistics, University of Delhi, New Delhi. Statistics in Transition new series, vol. 18, 2017, 3, pages: 375-392 Published online: 1 September 2017 https://doi.org/10.59170/stattrans-2017-019

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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 factor 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.

KEYWORDS

auxiliary information, mean squared error, simple random sampling without replacement (SRSWOR).

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