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Christofides’ randomized response technique in complex sample surveys

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  • Arijit Chaudhuri

Abstract

Christofides (2003) has given an improved modification of Warner’s (1965) pioneering randomized response (RR) technique in estimating an unknown proportion of people bearing a sensitive characteristic in a given community. As both these RR devices are shown to yield unbiased estimators based only on simple random sampling (SRS) with replacement (WR) but in practice samples are mostly taken with unequal selection probabilities without replacement (WOR), here we present methods of estimation when Christofides’ RR data are available from unequal probability samples. Warner’s (1965) RR device was earlier shown by Chaudhuri (2001) to be applicable in complex surveys. For completeness we present estimators for the variance of our estimator and also describe what to do if some people opt to divulge truths. Copyright Springer-Verlag 2004

Suggested Citation

  • Arijit Chaudhuri, 2004. "Christofides’ randomized response technique in complex sample surveys," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 60(3), pages 223-228, November.
    • Handle: RePEc:spr:metrik:v:60:y:2004:i:3:p:223-228
    DOI: 10.1007/s001840300305
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    Cited by:

    1. Housila P. Singh & Tanveer A. Tarray, 2014. "A Modified Mixed Randomized Response Model," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 15(1), pages 67-82, January.
    2. Amitava Saha, 2007. "A simple randomized response technique in complex surveys," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 59-66.
    3. Truong-Nhat Le & Shen-Ming Lee & Phuoc-Loc Tran & Chin-Shang Li, 2023. "Randomized Response Techniques: A Systematic Review from the Pioneering Work of Warner (1965) to the Present," Mathematics, MDPI, vol. 11(7), pages 1-26, April.

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