Alternative Estimator in Dichotomous Randomized Response Technique

Abstract

Obtaining correct responses to sensitive questions in social and behavioural researches is an ancient problem in survey research with respondents misreporting on sensitive behaviours or giving false response to protect themselves. This paper develops an alternative unbiased estimator by modifying the dichotomous randomized response technique model to tackle this problem. The proposed estimator was compared numerically with conventional ones by considering different practicable and suitable design choices. Proposed model was also considered when sampling with unequal probabilities with or without replacement. It was observed that the proposed estimator performs efficiently than the conventional ones. As the proposed model captures progressively more people involved in the sensitive attribute, the model outperforms other models considered. Therefore, social and behavioural researchers can now obtain correct and valid responses from sensitive behavioural researches with ease in order to make informed and reliable decisions.

Keywords

Dichotomous randomized response technique / Efficiency / Sensitive behavioural attribute / Unequal probability