Bayesian Hybrid Tripartite Randomized Response Technique
Keywords:
Estimation, marginal probability density function, relative efficiency, sensitive questionsAbstract
The response bias is a fundamental problem with wide range of tendencies for participants to respond inaccurately or falsely to questions. These biases are prevalent in research involving sensitive questions which have a large impact on the validity of surveys, In the quest to reduce bias in surveys, Warner (1965) proposed the Randomized Response Technique (RRT) which has undergone so many improvements/modifications. To further reduce these biases, this paper proposed a Bayesian estimation of Hybrid Tripartite Randomized Response Technique (BHTRRT) by using prior information to improve existing works on Hybrid Tripartite Randomized Response Technique (HTRRT). The Bayesian approach has emerged as a strong competitor to the traditional classical approach to randomized techniques; hence, its approach to HTRRT. The Bayesian approach accommodates other intrinsic parameter constraints in the posterior to improve statistical precision. The effectiveness of the proposed method was examined by conducting simulation study and compares the performance of the proposed estimator with conventional ones. Result showed that the proposed technique is more efficient and reduce response bias in survey better than the conventional ones.
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