A New Estimator based on Auxiliary Information through Quantitative Randomized Response Techniques
JOURNAL OF MODERN APPLIED STATISTICAL METHODS, vol.16, no.1, pp.364-387, 2017 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 16 Issue: 1
- Publication Date: 2017
- Doi Number: 10.22237/jmasm/1493598060
- Journal Name: JOURNAL OF MODERN APPLIED STATISTICAL METHODS
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.364-387
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: Yes
Abstract
An exponential-type estimator is developed for the population mean of the sensitive study variable based on various Randomized Response Techniques (RRT) using a non-sensitive auxiliary variable. The mean squared error (MSE) of the proposed estimator is derived for generalized RRT models. The proposed estimator is compared with competitors in a simulation study and an application. The proposed estimator is found to be more efficient using a non-sensitive auxiliary variable.