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A Randomized Response Technique for Quantitative Data under Unequal Probability Sampling

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Abstract

Warner’s (1965) randomized response (RR) model and its various modifications are not applicable to surveys involving quantitative response to a sensitive question. Eichhorn and Hayre (1983) proposed an RR technique for surveys in which answer to sensitive questions result in quantitative response variables. Chaudhuri (1987) proposed a procedure for estimating the mean of a sensitive quantitative variable under a general sampling set-up using varying selection probabilities. Here we propose a method that generalizes Eichhorn and Hayer’s method in unequal probability sampling and also present a numerical example comparing the performance of our procedure with Eichhorn and Hayre’s (1983) procedure under two conventional sampling schemes.

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  1. Directorate General of Commercial Intelligence & Statistics, 1, Council House Street, Kolkata, 700001, India

    Amitava Saha

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  1. Amitava Saha
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Correspondence to Amitava Saha.

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Saha, A. A Randomized Response Technique for Quantitative Data under Unequal Probability Sampling. J Stat Theory Pract 2, 589–596 (2008). https://doi.org/10.1080/15598608.2008.10411897

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  • DOI: https://doi.org/10.1080/15598608.2008.10411897

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