Enhancing a Randomized Response Model to Estimate Population Means to Sensitive Questions

The population means of variables such as expenditure on alcohol, abortion, amount of dowry are estimated on modifying Gjestvang and Singh (2009) randomized response model. Instead of simple random sampling with replacement scheme, the respondents are allowed to be chosen by any varying probability sampling scheme, which in particular, also includes simple random sampling with replacement scheme. Whatever the sampling design, the modified estimators perform better than the usual estimator.