A modified two-stage randomized response model for estimating the proportion of stigmatized attribute

Mathematical Problems in Engineering

Onyango

2022

The randomized response technique (RRT) is an effective method designed to obtain the stigmatized information from respondents while assuring the privacy. In this study, we propose a new two-stage unrelated question RRT model to estimate the prevalence of sensitive attribute π when the proportion of unrelated innocuous attribute is known and unknown. A simulation study is carried out to validate the theoretical results of proposed estimators. The utility of proposed two-stage unrelated question RRT model under stratification is also explored. An efficiency comparison between the proposed two-stage unrelated question RRT model and the Singh and Suman RRT model is carried out numerically under simple and stratified random sampling.

“…where k is the total number of cards in the deck R 2 . Solving equation (1) for π, an estimator for π is given as follows:…”

Section: When the Proportion Of Unrelated Innocuous Attribute Ismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Two-Stage Unrelated Question Randomized Response Model for Estimating the Prevalence of Stigmatized Attribute

Mathematical Problems in Engineering

Onyango

2022

“…Greenberg et al [2] extended the Warner's idea for mean estimation of quantitative sensitive variables. Some other developments for the estimation of mean are due to Eichhorn and Hayre [3]; Bar-Lev et al [4]; Gupta et al [5]; Gupta et al [6] Hussain et al [7]; Singh et al [8]; Singh and Suman [9]; Lee and Hong [10]; Narjis and Shabbir [11,12]; and Muneer et al [13].…”

Section: Introductionmentioning

confidence: 99%

Partial Randomized Response Model for Simultaneous Estimation of Means of Two Sensitive Variables

Mathematical Problems in Engineering

Onyango

2022

In this study, a new partial randomized response model (RRM) has been proposed for estimating the population mean of two quantitative sensitive variables simultaneously. The utility of proposed model under stratification is also explored. The efficiency comparisons of the proposed model under simple and stratified random sampling are carried out numerically. A real data set was collected through direct questioning, proposed partial RRM and competitor randomized device from the students of statistics and animal sciences departments of Quaid-I-Azam University Islamabad, Pakistan. The performance of the proposed partial RRM is better than competitor RRM under simple and stratified random sampling.

“…In optional RRT model, respondents are requested to provide the truthful response if he or she considers the question to be nonsensitive and use the randomization device if he or she considers the question sensitive and provide the response after using randomization device. Some developments to estimate the proportion of sensitive attribute are due to Greenberg et al (1969); Chaudhuri and Mukerjee (1988); Mangat and Singh (1990); Mahmood, Singh, and Horn (1998); Perri (2008); G. N. Singh and Suman (2019); Mazloum (2015, 2016); Batool, Shabbir, and Hussain (2017); H. P. Singh and Tarray (2016); H. P. Singh and Gorey (2017); Tarray and Singh (2018); Shabbir (2018, 2019); and Hussain, Cheema, and Hussain (2020).…”

Section: Introductionmentioning

confidence: 99%

An Improved Two-stage Randomized Response Model for Estimating the Proportion of Sensitive Attribute

Sociological Methods & Research

2021

The randomized response technique (RRT) is an effective method designed to obtain the stigmatized information from respondents while assuring the privacy. In this study, we propose a new two-stage RRT model to estimate the prevalence of sensitive attribute ([Formula: see text]). A simulation study shows that the empirical mean and variance of proposed estimator are close to corresponding theoretical values. The utility of proposed two-stage RRT model under stratification is also explored. An efficiency comparison between proposed two-stage RRT model and some existing RRT models is carried out numerically under simple and stratified random sampling.