On estimating the proportion of a qualitative sensitive character using randomized response sampling

Abstract

In this paper, we present results pertaining to investigations concerning randomized response sampling. We consider a simple generalization for some existing investigations, and then provide the suitable choices for design parameters. It is also demonstrated the superiority of the proposed procedure over Warner (1965) procedure.

A note on the comparison of some randomized response procedures

“…The RR procedure proposed by Chang et al (2004) has one RD which consists of four statements: "I belong to group A", "I do not belong to group A", 'Yes', 'No', with probabilities p CH 1 , p CH 2 , p CH 3 and p CH 4 ( 4 i=1 p CH i = 1), respectively. When p CH 3 = 0 and p CH 4 = 1 − p CH 1 − p CH 2 , the above model reduces to the model.…”

“…When p CH 4 = 0 and p CH 3 = 1 − p CH 1 − p CH 2 , the model reduces to the Bhargava and Singh (2000) model. The L-level of PP of the Chang et al (2004)…”

“…Proposition 3. For every ∈ (0, 1), the family of RR models proposed by Chang et al (2004) with CH ∈ CH is PP-equivalent to the family of Simmons' models, with p S 1 = p CH 1 − p CH 2 and p S 2 = (p CH 2…”

New Procedures of Estimating Proportion and Sensitivity Using Randomized Response in a Dichotomous Finite Population

“…However, the probability T is unknown in actual practice. To overcome such a difficulty, Chang and Huang (2001), Huang (2004), and Chang et al (2004a) have suggested alternative survey strategies which make it possible to estimate the unknown parameters π and T simultaneously. Two alternatives to Huang's (2004) randomized response model, based on Singh (1993) models, are proposed.…”

Estimation of sensitive quantitative characteristics in randomized response sampling

“…An excellent exposition of modifications on RR techniques and other related works could be referred to Chaudhuri and Mukerjee [6]. Some resent developments are Bhargava and Singh [1], Chua and Tsui [7], Padmawar and Vijayan [12], Singh et al [14], Chang and Huang [2], Chaudhuri [5], Singh et al [13], Huang [10], and Chang et al [3,4], etc. In particular, to quantify the sensitivity level for certain items of inquiry in practice, Gupta et al [9] first shown how an estimator may be developed on the quantitative characteristics.…”