In this article, we have suggested a new modified mixed randomized response (RR) model and studied its properties. It is shown that the proposed mixed RR model is always more efficient than the Kim and Warde’s mixed RR model. The proposed mixed RR model has also been extended to stratified sampling. Numerical illustrations and graphical representations are also given in support of this study.
ChangH. J.HuangK. C.. 2001. “Estimation of Proportion and Sensitivity of a Qualitative Character.” Mertika53:269–80.
2.
ChangH. J.WangC. L.HuangK. C.. 2004. “On Estimating the Proportion of a Qualitative Sensitive Character Using Randomized Response Sampling.” Quality and Quantity38:675–80.
3.
ChaudhuriA.MukerjeeR.. 1987. “Randomized Response Technique: A Review.” Statistica Neerlandica41:27–44.
4.
ChaudhuriA.MukerjeeR.. 1988. Randomized Response: Theory and Techniques. New York: Marcel-Dekker.
FoxJ. A.TracyP. E.. 1986. Randomized Response: A Method of Sensitive Surveys. Newbury Park, CA: Sage.
7.
GrewalI. S.BansalM. L.SidhuS. S.. 2005-2006. “Population Mean Corresponding to Horvitz-Thompson’s Estimator for Multi-characteristics Using Randomized Response Technique.” Model Assisted Statistics and Applications1:215–20.
8.
HedayatA. S.SinhaB. K.. 1991. Design and Inference in Finite Population Sampling. New York: Wiley.
9.
HongK.YumJ.LeeH.. 1994. “A Stratified Randomized Response Technique.” Korean Journal of Applied Statistics7:141–47.
10.
HongZ. 2005-2006. “Estimation of Mean in Randomized Response Surveys When Answers Are Incompletely Truthful.” Model Assisted Statistics and Applications1:221–30.
11.
HorvitzD. G.ShahB. V.SimmonsW. R.. 1967. “The Unrelated Question Randomized Response Model.” Proceedings of the Social Statistics Section American Statistical Association65–72.
12.
HuangK. C.2004. “A Survey Technique for Estimating the Proportion and Sensitivity in a Dichotomous Finite Population.” Statistica Neerlandica58:75–82.
13.
KimJ.WardeW. D.. 2004. “A Stratified Warner Randomized Response Model.” Journal of Statistical Planning and Inference120:155–65.
14.
KimJ. M.ElamM. E.. 2005. “A Two-stage Stratified Warner’s Randomized Response Model Using Optimal Allocation.” Metrika61:1–7.
15.
KimJ. M.WardeW. D.. 2005. “A Mixed Randomized Response Model.” Journal of Statistical Planning and Inference133:211–21.
16.
LandM.SinghS.SedoryS. A.. 2011. “Estimation of a Rare Attribute Using Poisson Distribution.” Statistics46:351–60. doi:10.1080/02331888.2010.524300.
17.
LankeJ.1976. “On the Degree of Protection in Randomized Interview Internet.” Statistical Review44:80–83.
18.
MahajanP. K.SharmaP.GuptaR. K.. 2007. “Optimum Stratification for Allocation Proportional to Strata Totals for Scrambled Response.” Model Assisted Statistics and Applications2:81–88.
19.
MangatN. S.1994. “An Improved Randomized Response Strategy.” Journal of Royal Statistical Society, Series B, 56, 93–95.
20.
MangatN. S.SinghR.SinghS.. 1997. “Violation of Respondent’s Privacy in Moors Model—Its Rectification through a Random Group Strategy Response Model.” Communications in Statistics Theory and Methods3:243–55.
21.
MahmoodM.SinghS.HornS.. 1998. “On the Confidentiality Guaranteed Under Randomized Response Sampling: A Comparison with Several New Techniques.” Biometrical Journal40:2, 237–42.
22.
MoorsJ. A. 1971. “Optimization of the Unrelated Question Randomized Response Model.” Journal of the American Statistical Association66:627–29.
23.
PerriP. F. 2008. “Modified Randomized Devices for Simmons’ Model.” Model Assisted Statistics and Applications3:233–39.
RyuJ. B.KimJ. M.HeoT. Y.ParkC. G.. 2005-2006. “On Stratified Randomized Response Sampling.” Model Assisted Statistics and Applications1:31–36.
26.
SinghS.2003. Advanced Sampling Theory with Applications. Dordrecht, the Netherlands: Kluwer Academic Publishers.
27.
SinghS.SinghR.MangatN. S.. 2000. “Some Alternative Strategies to Moor’s Model in Randomized Response Model.” Journal of Statistical Planning and Inference83:243–55.
28.
TracyD. S.MangatN. S.. 1996. “Some Developments in Randomized Response Sampling During the Last Decade—A Follow Up of Review by Chaudhuri and Mukherjee.” Journal of Applied Statistical Science4:147–58.
29.
WarnerS. L.1965. “Randomized Response: A Survey Technique for Eliminating Evasive Answer Bias.” Journal of the American Statistical Association60:63–69.
