In this article, we adjust the Kuk randomized response model for collecting information on a sensitive characteristic for increased protection and efficiency by making use of forced “yes” and forced “no” responses. We first describe Kuk’s model and then the proposed adjustment to Kuk’s model. Next, by means of a simulation study, we compare the efficiency of the adjusted Kuk model relative to the pioneer Kuk model while maintaining at least equal protection of respondents.
AbdelfatahS.MazloumR.. 2014. “Improved Randomized Response Models Using Three Decks of Cards.”Model Assisted Statistics and Applications9:63–72.
2.
BarabesiL.DianaG.PerriP. F.. 2013. “Design-based Distribution Function Estimation for Stigmatized Populations.”Metrika76:919–35.
3.
BarabesiL.DianaG.PerriP. F.. 2014. “Horvitz-Thompson Estimation with Randomized Response and Non-response.”Model Assisted Statistics and Applications9:3–10.
4.
ChaudhuriA.2011. Randomized response and indirect questioning techniques in surveys. Boca Raton, FL: CRC Press.
5.
ChaudhuriA.ChristofidesT.. 2013. Indirect Questioning in Sample Surveys. Berlin, Germany: Springer-Verlag.
6.
DianaG.GiordanM.PerriP. F.. 2013. “Randomized Response Surveys: A Note on Some Privacy Protection Measures.”Model Assisted Statistics and Applications8:19–28.
7.
GjestvangC. R.SinghS.. 2006. “A New Randomized Response Model.”Journal of the Royal Statistical Society B68:523–30.
8.
KukA. Y. C.1990. “Asking Sensitive Questions Indirectly.”Biomerika77:436–38.
9.
LankeJ.1975. “On the Choice of the Unrelated Question in Simmons Version of Randomized Response.”Journal of the American Statistical Association70:80–83.
10.
LeeCheon-SigSedoryS. A.SinghS.. 2013. “Simulated Minimum Sample Sizes for Various Randomized Response Models.”Communications in Statistics-simulation and Computation42:771–89.
11.
MangatN. S. 1994. “An Improved Randomized Response Strategy.”Journal of the Royal Statistical Society B56:93–95.
12.
MangatN. S.SinghR.. 1990. “An Alternative Randomized Response Procedure.”Biometrika77:439–42.
13.
MangatN. S.SinghS.. 1994. “Optional Randomized Response Model.”Journal of the Indian Statistical Association32:71–75.
14.
NayakT. K. 1994. “On Randomized Response Surveys for Estimating a Proportion.”Communications in Statistics–Theory and Methods23:3303–21.
15.
OdumadeO.SinghS.. 2009. “Efficient Use of Two Decks of Cards in Randomized Response Sampling.”Communications in Statistics–Theory and Methods38:439–46.
16.
RaghavaraoD.1978. “On an Estimation Problem in Warner’s Randomized RESPONSE technique.”Biometrics34:87–90.
17.
SinghJ.1976. “A Note on Randomized Response Technique.”Proceedings of the Social Statistics Section, American Statistical Association772.
18.
SinghS.SedoryS. A.. 2011. “Cramer-Rao Lower Bound of Variance in Randomized Response Sampling.”Sociological Methods and Research40:536–46.
19.
SinghS.SinghR.MangatN. S.TracyD. S.. 1994. “An Alternative Device For randomized Responses.”Statistica54:233–43.
WarnerS. L. 1965. “Randomized Response: A Survey Technique for Eliminating Evasive Answer Bias.”Journal of the American Statistical Association60:63–69.