This article addresses the problem of estimating the proportion πS of the population belonging to a sensitive group using optional randomized response technique in stratified sampling based on Mangat model that has proportional and Neyman allocation and larger gain in efficiency. Numerically, it is found that the suggested model is more efficient than Kim and Warde stratified randomized response model and Mangat model.
MangatN. S.1994. “An Improved Randomized Response Strategy.” Journal of the Royal Statistical Society B56:93–95.
11.
SinghH. P.TarrayT. A.. 2012. “A Stratified Unknown Repeated Trials in Randomized Response Sampling.” Communication of the Korean Statistical Society19:751–59.
12.
SinghH. P.TarrayT. A.. 2013. “An Alternative to Kim and Warde’s Mixed Randomized Response Technique.” Statistica73:379–402.
13.
SinghH. P.TarrayT. A.. 2014a. “A stratified Tracy and Osahan’s two-stage randomized response model.” Communications in Statistics-Theory and Methods. doi:10.1080/03610926.2014.895839.
14.
SinghH. P.TarrayT. A.. 2014b. “A Dexterous Randomized Response Model for Estimating a Rare Sensitive Attribute Using Poisson Distribution.” Statistics & Probability Letters90:42–45.
15.
SinghH. P.TarrayT. A.. 2015a. “A Dexterous Randomized Response Model for Estimating a Rare Sensitive Attribute Using Poisson Distribution.” Statistics & Probability Letters90:42–45.
16.
SinghH. P.TarrayT. A.. 2015b. “A Revisit to the Singh, Horn, Singh and Mangat’s Randomization Device for Estimating a Rare Sensitive Attribute Using Poisson Distribution.” Model Assisted Statistics and Applications10:129–38.
17.
SinghH. P.TarrayT. A.. 2015c. “Two - stage Stratified Partial Randomized Response Strategies.” Communications in Statistics-Theory and Methods. doi:10.1080/03610926.2013.804571.