Comparisons of sampling strategies for estimating finite population proportions in direct and randomized response surveys under a super population model

Issue title: Warner's Randomized Response Model

Guest editors: Arijit Chaudhuri

Article type: Research Article

Authors: Sengupta, S.

Affiliations: Department of Statistics, University of Calcutta 35, Ballygunge Circular Road, Kolkata 700019, India. E-mail: [email protected]

Abstract: We consider the problem of unbiased estimation of a finite population proportion and compare the unequal probability sampling strategies due to Hansen-Hurwitz [9], Horvitz-Thompson [12], Rao-Hartley-Cochran [18] and Midzuno-Sen [16,20] under a super-population model. It is shown that the model expected variance is least for the Midzuno-Sen [16,20] strategy both when these sampling strategies are based on data obtained from (i) a direct survey and (ii) a randomized response (RR) survey employing some RR technique following a general RR model.

Keywords: Model expected variance, direct response, population proportion, randomized response, sampling strategy, super-population model, unequal probability sampling

DOI: 10.3233/MAS-150340

Journal: Model Assisted Statistics and Applications, vol. 10, no. 4, pp. 385-390, 2015