scholarly journals Bayesian Estimation ofWarner’s Randomized Response Technique with Transmuted Kumaraswamy Prior

2021 ◽  
Author(s):  
Akinola Oladiran Adepetun ◽  
◽  
Bamidele Mustapha Oseni ◽  
Olusola Samuel Makinde ◽  
◽  
...  

In recent time, the Bayesian approach to randomized response technique has been used for estimating the population proportion especially of respondents possessing sensitive attributes such as induced abortion, tax evasion and shoplifting. This is done by combining suitable prior information about an unknown parameter of the population with the sample information for the estimation of the unknown parameter. In this study, possibility of using a transmuted Kumaraswamy prior is raised, yielding a new Bayes estimator for estimating population proportion of sensitive attribute for Warner’s randomized response technique. Consequently, the proposed Bayes estimator with transmuted Kumaraswamy prior is compared with existing Bayes estimators developed with a simple beta and Kumaraswamy priors in terms of their mean square error. The proposed estimator competes well with the existing estimators for some values of population proportion. The performances of Bayes estimators were also compared using some benchmark data.

2017 ◽  
Vol 9 (1) ◽  
pp. 13-26
Author(s):  
A. O. Adepetun ◽  
A. A. Adewara

This paper proposed alternative beta estimators of the population proportion of a sensitive attribute when life data were obtained through the administration of survey questionnaires on abortion of some matured women. The results showed that the proposed alternative beta estimators were more efficient in capturing responses from respondents than the simple beta estimator proposed by Winkler and Franklin for relatively small, medium as well as large sample sizes respectively.


2021 ◽  
pp. 004912412110099
Author(s):  
Ghulam Narjis ◽  
Javid Shabbir

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.


2018 ◽  
Vol 10 (3) ◽  
pp. 249-259
Author(s):  
A. O. Adepetun ◽  
A. A. Adewara

In this paper, we propose new stratified Bayesian estimators of population proportion of a sensitive trait by adopting a mixture of alternative beta distributions as quantification of prior information in a stratified random sampling situation. Data were collected through Warner’s randomized response technique. To study the performance of the newly developed stratified estimators, mean squared error and absolute bias were used as performance criteria. The proposed estimators were compared with the existing one. We observed that the proposed estimators are more sensitive to responses than the existing one at various sample sizes respectively.


2012 ◽  
Vol 11 (2) ◽  
pp. 77-85 ◽  
Author(s):  
Anne Jansen ◽  
Cornelius J. König ◽  
Eveline H. Stadelmann ◽  
Martin Kleinmann

This study contributes to the literature on self-presentation by comparing recruiters’ expectations about applicants’ self-presentational behaviors in personnel selection settings to applicants’ actual use of these behaviors. Recruiters (N = 51) rated the perceived appropriateness of 24 self-presentational behaviors. In addition, the prevalence of these behaviors was separately assessed in two subsamples of applicants (N1 = 416 and N2 = 88) with the randomized response technique. In line with the script concept, the results revealed that recruiters similarly evaluated the appropriateness of specific self-presentational behaviors and that applicants’ general use of these behaviors corresponded to recruiters’ shared expectations. The findings indicate that applicants who use strategic self-presentational behaviors may just be trying to fulfill situational requirements.


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