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An extension of the standardized randomized response technique to a multi-stage setup

If nonresponse and/or untruthful answering mechanisms occur, analyzing only the available cases may substantially weaken the validity of sample results. The paper starts with a reference to strategies of empirical social researchers related to respondent cooperation in surveys embedding the statistical techniques of randomized response in this framework. Further, multi-stage randomized response techniques are incorporated into the standardized randomized response technique for estimating proportions. In addition to already existing questioning designs of this family of methods, this generalization includes also several (in particular: two-stage) techniques that have not been published before. The statistical properties of this generalized design are discussed for all probability sampling designs. Further, the efficiency of the model is presented as a function of privacy protection. Hence, it can be shown that not one multi-stage design of this family at the same level of privacy protection can theoretically be more efficient than its one-stage basic version. Copyright Springer-Verlag 2012

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File URL: http://hdl.handle.net/10.1007/s10260-012-0209-0
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Article provided by Springer & Società Italiana di Statistica in its journal Statistical Methods & Applications.

Volume (Year): 21 (2012)
Issue (Month): 4 (November)
Pages: 475-484

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Handle: RePEc:spr:stmapp:v:21:y:2012:i:4:p:475-484
DOI: 10.1007/s10260-012-0209-0
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  1. Sarjinder Singh & Stephen A. Sedory, 2011. "Cramer-Rao Lower Bound of Variance in Randomized Response Sampling," Sociological Methods & Research, SAGE Publishing, vol. 40(3), pages 536-546, August.
  2. Christopher Gjestvang & Sarjinder Singh, 2007. "Forced quantitative randomized response model: a new device," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 66(2), pages 243-257, September.
  3. Giancarlo Diana & Pier Perri, 2011. "A class of estimators for quantitative sensitive data," Statistical Papers, Springer, vol. 52(3), pages 633-650, August.
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