In this article, a new estimator for estimating the proportion of a potentially sensitive attribute in survey sampling is introduced. The relative efficiency of the proposed estimator has been studied with respect to the existing competitors. The proposed randomized response model based on two decks of cards can always be made more efficient in any surveys than the Warner (1965), Mangat andSingh (1990), andMangat (1994) models by adjusting the proportion of cards in the two decks of cards to be used.
In this article, an alternative randomized response model is proposed. The proposed model is found to be more efficient than the randomized response model studied by Bar-Lev, Bobovitch, and Boukai (2004). The relative efficiency of the proposed model is studied with respect to the Bar-Lev et al. (2004) model under various situations.
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