- Hacettepe Journal of Mathematics and Statistics
- Vol: 46 Issue: 2
- A new improved estimator of population mean in partial additive randomized response models
A new improved estimator of population mean in partial additive randomized response models
Authors : Nilgun Ozgul, Hulya Cingi
Pages : 325-338
View : 13 | Download : 6
Publication Date : 2017-04-01
Article Type : Research
Abstract :In this study, we have developed a new improved estimator for the population mean estimation of the sensitive study variable in Partial Additive Randomized Response Models (RRMs) using two non-sensitive auxiliary variables. The mean squared error of the proposed estimator is derived and compared with other existing estimators based on the auxiliary variable. The proposed estimator is compared with [19], [5] and [13] estimators in performing a simulation study and is found to be more efficient than other existing estimators using non-sensitive auxiliary variable. The results of the simulation study are discussed in the final section.Keywords : Randomized response models, Sensitive question, Auxiliary variable, Efficiency, Mean square error