Evaluating the Effect of Measurement Error Under Randomized Response Techniques of the Sensitive Variable in Successive Sampling

Abstract

In the present work, we estimate sensitive population mean at current occasion in presence of measurement error at both occasions in two occasion successive sampling. Compulsory and optional randomized response technique have been fused with calibration technique at both occasions. Responses are recorded with measurement error. Asymptotic properties of estimators are derived. The variances of the proposed estimators are also obtained upto first order of approximation under both the models. Mutual comparison of compulsory and optional randomized response technique is carried out in presence of measurement error. To show the impact of measurement error, the estimators are compared with similar direct estimators. A natural population related to COVID-19 infection has been considered to validate the theoretical findings. Further, simulation study is aided to show the practicability of the proposed estimators.