zbMATH — the first resource for mathematics

An efficient randomized response model using two decks of cards under simple and stratified random sampling. (English) Zbl 1366.62022
Chaudhuri, Arijit (ed.) et al., Data gathering, analysis and protection of privacy through randomized response techniques: qualitative and quantitative human traits. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-63570-9/hbk; 978-0-444-63571-6/ebook). Handbook of Statistics 34, 133-154 (2016).
Summary: In an attempt to obtain a more efficient estimator of the population proportion possessing a sensitive characteristic, a randomized response model is proposed as a modification to S. Abdelfatah et al. [“An alternative randomized response model using two decks of cards”, Statistica 71, No. 3, 381–390 (2011; doi:10.6092/issn.1973-2201/3621)] model. In the proposed model, one of the decks includes the same statements used in the first deck of Abdelfatah et al. [loc. cit.] model, while the second deck includes the same statements used in the forced response model. Under simple random sampling, the proposed randomized response model has turned out to be more efficient than the Abdelfatah et al. [loc. cit.] model. A simulation study is then performed to determine the minimum sample sizes required to obtain possible estimates. The proposed efficient model is then extended to stratified random sampling and the extended model is compared with other stratified randomized response models. Finally, the method of double sampling for stratification is applied in case of unknown strata sizes.
For the entire collection see [Zbl 1349.62001].

62D05 Sampling theory, sample surveys
94A50 Theory of questionnaires
Full Text: DOI