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In this paper we have suggested a generalized version of the Gjestvang and Singh (2006) model and have studied its properties. We have shown that the randomized response models due to Warner (1965), Mangat and Singh (1990), Mangat (1994) and Gjestvang and Singh (2006) are members of the proposed RR model. The conditions are obtained in which the suggested RR model is more efficient than the Warner (1965) model, Mangat and Singh (1990) model and Mangat (1994) model and Gjestvang and Singh (2006) model. A numerical illustration is given in support of the present study.

ABSTRACTThis article proposes an efficient stratified randomized response model based on the Mangat et al. model. We have obtained the variance of the proposed estimator of , the proportion of the respondents in the population belonging to a sensitive group, under proportional and Neyman allocations. It is shown that the estimator based on the proposed model is more efficient than the Mangat et al. estimator under both proportional as well as Neyman allocations, the Hong et al. estimator, and Kim and Warde’s estimator. We have also examined the superiority of the suggested estimator over the Mangat et al. estimator, the Hong et al. estimator, and Kim and Warde’s estimator with the aid of numerical illustration and pictorial representation.