Abstract
This 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 πs, 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 andWarde’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.
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The authors are thankful to the editor-in-chief Prof. Sat Gupta, the associate editor, and two erudite referees for their valuable suggestions regarding improvement of the article.
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Singh, H.P., Gorey, S.M. An efficient stratified randomized response model. J Stat Theory Pract 11, 790–809 (2017). https://doi.org/10.1080/15598608.2017.1350607
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DOI: https://doi.org/10.1080/15598608.2017.1350607