Efficient estimation of population mean of sensitive variable in presence of scrambled responses

This paper addresses the problem of estimating the population mean of a sensitive variable in presence of scrambled response. We have suggested a randomized response model which uses known values of mean and variance of scrambling variable. We have shown that the proposed randomized response model i...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2017-10, Vol.46 (19), p.9557-9565
Main Authors: Singh, Housila P., Gorey, Swarangi M.
Format: Article
Language:English
Subjects:
Mathematical models
Population statistics
Randomization
Randomized response
Scrambled response
Simple random sampling with replacement
Variance
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Summary:This paper addresses the problem of estimating the population mean of a sensitive variable in presence of scrambled response. We have suggested a randomized response model which uses known values of mean and variance of scrambling variable. We have shown that the proposed randomized response model is always better than that of Gjestvang and Singh's (2009) and Singh and Tarray's (2014) randomized response models. A numerical study for efficiency comparison is also presented.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2016.1213288