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Two-valued response technique of polychotomous sensitive question

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Abstract

The randomized response (RR) technique is an effective survey method when collecting sensitive information. This paper proposes a new non-randomized response model for survey sampling with polychotomous sensitive questions: Two-valued response technique. The proportion of the sensitive attribute and its estimator’s variance are estimated under the simple random sampling without replacement and with replacement designs. The relation between the efficiency and the protection of privacy is discussed. The result indicates that the efficiency is in conflict with protection of privacy in the new proposed model, which is the same as that in the RR technique, but the new technique has better characteristics in sociological practice aspects than the RR technique, because it is of low cost, saving time and being operated easily.

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Correspondence to Xiuyun Peng.

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This research is supported by the National Natural Science Foundation of China under Grant No. 10761004, the Natural Science Foundation of Inner Mongolia under Grant Nos. 2009MS0107 and 2010MS01116, the Talent Development Foundation of Inner Mongolia (2007), and the Natural Science Foundation of Inner Mongolia University of Technology under Grant No. X200934.

This paper was recommended for publication by Editor Guohua ZOU.

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Peng, X., Yan, Z. Two-valued response technique of polychotomous sensitive question. J Syst Sci Complex 24, 1193–1203 (2011). https://doi.org/10.1007/s11424-011-8446-0

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  • DOI: https://doi.org/10.1007/s11424-011-8446-0

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