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Use of scrambled response model in estimating the finite population mean in presence of non response when coefficient of variation is known

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  • Shakeel Ahmed
  • Javid Shabbir
  • Sat Gupta

Abstract

We propose an estimator for the finite population mean utilizing known coefficient of variation of the study character in case of quantitative sensitive variable considering a randomization mechanism on the second call that provides privacy protection to the respondents to get truthful information. We also propose generalized ratio- and regression-type estimators under two-phase sampling scheme. The conditions under which the proposed estimators are more efficient than the relevant estimators under scrambled response model have been obtained. An empirical study is carried out to evaluate performances of the estimators.

Suggested Citation

  • Shakeel Ahmed & Javid Shabbir & Sat Gupta, 2017. "Use of scrambled response model in estimating the finite population mean in presence of non response when coefficient of variation is known," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(17), pages 8435-8449, September.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:17:p:8435-8449
    DOI: 10.1080/03610926.2016.1183782
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    Cited by:

    1. Ayesha Khalid & Aamir Sanaullah & Mohammed M. A. Almazah & Fuad S. Al-Duais, 2023. "An Efficient Ratio-Cum-Exponential Estimator for Estimating the Population Distribution Function in the Existence of Non-Response Using an SRS Design," Mathematics, MDPI, vol. 11(6), pages 1-15, March.

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