Admissibility of a variance estimator in finite population sampling under Warner's randomized response plan with multiple responses

S. Sengupta

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 19, 5745-5750

Abstract: Let P be the proportion of individuals in a finite population possessing a sensitive attribute. We consider the problem of unbiased estimation of (i) the variance of a linear unbiased estimator of P and (ii) the population variance P (1—P) for a given probability sampling design under Warner's (1965) randomized response (RR) plan when independent responses are obtained from each sampled individual as many times as he/she is selected in the sample and prove the admissibility of a quadratic unbiased estimator for each.

Date: 2016
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DOI: 10.1080/03610926.2014.948208

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