Improved Randomized Response in Optional Scrambling Models

Abstract

In the present study, we discuss the issue of increasing the respondents cooperation in sensitive surveys. When the question is highly sensitive then the cooperation from the respondents is decreased. We propose two optional randomized response models (ORRMs) to increase the respondents cooperation. A comparison of proposed ORRMs with [1] two-and three-stage models have been made. It is found that, in estimating mean and sensitivity level, the proposed strategies perform better than [1] twoand three-stage models. A comparison is also made among the [1] two-and three-stage models and proposed ORRMs to identify the best one. Numerical illustration are also given in favor of the algebraic results.

Scrambling Reports: New Estimators for Estimating the Population Mean of Sensitive Variables

“…Warner's proposal for estimating the population proportion π A of a sensitive characteristic A is πA = ρ ys −(1−P) 2P−1 . Extensions to deal with quantitative sensitive variables were developed by Greenberg et al [6], Eriksson et al [7], Huang [8], Bouza [9], Arnab [10], Singh and Gorey [11], Hussain and Shahid [12], Narjis et al [13], Bouza et al [14], Hussain et al [15], and Azeem and Ali [16], among other works. Another utility of RR techniques is their applicability to sensitive issues, such as health areas (see Murtaza et al [17]), social issues (see Chong et al [18]), and drug use (see Perri et al [19] and Kirtasze et al [20]), among other sensitive issues.…”