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A generalized class of estimators for sensitive variable in the presence of measurement error and non-response

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  • Erum Zahid
  • Javid Shabbir
  • Sat Gupta
  • Ronald Onyango
  • Sadia Saeed

Abstract

In this paper, a general class of estimators is proposed for estimating the finite population mean for sensitive variable, in the presence of measurement error and non-response in simple random sampling. Expressions for bias and mean square error up to first order of approximation, are derived. Impact of measurement errors is examined using real data sets, including the survey conducted at Quaid-i-Azam University, Islamabad. Simulated data sets are also used to observe the performance of the proposed estimators in comparison to some other estimators. We obtain the empirical bias and MSE values for the proposed and the competing estimators.

Suggested Citation

  • Erum Zahid & Javid Shabbir & Sat Gupta & Ronald Onyango & Sadia Saeed, 2022. "A generalized class of estimators for sensitive variable in the presence of measurement error and non-response," PLOS ONE, Public Library of Science, vol. 17(1), pages 1-19, January.
    • Handle: RePEc:plo:pone00:0261561
    DOI: 10.1371/journal.pone.0261561
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    References listed on IDEAS

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    1. Christopher R. Gjestvang & Sarjinder Singh, 2006. "A new randomized response model," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(3), pages 523-530, June.
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