Improved randomised response technique for estimation of sensitive character
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Date
2019
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Punjab Agricultural University, Ludhiana
Abstract
Getting correct answers to sensitive questions from the respondents and estimating the population parameters on variables that are sensitive in nature is still a problem in survey sampling. In the present project work, problem of estimation of population proportion of sensitive characteristic have been studied. For this improved randomized response device has been developed by taking the two cases of unrelated question, case-I „when the unrelated characteristic is known‟ and other case-II „when the unrelated characteristic is not known‟. Two estimators have been proposed one for known value of and other for unknown value of which were found to be unbiased. The expression for variances and unbiased estimates for the variances of the proposed estimators have been obtained. The optimum value of sample sizes have been worked out for which the minimum variance for the proposed estimators have also been obtained. In order to see relative efficiency, the proposed estimators have been compared on the basis of relative efficiency with respect to Tiwari and Mehta (2016) and Mangat (1992). An empirical study have been conducted and concluded graphically that proposed estimators are better than the estimators of Tiwari and Mehta (2016), Mangat (1992).
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