Cramer-Rao Lower Bound of Variance in Randomized Response Sampling

Abstract

In this note, the Cramer-Rao lower bound of variance by using the two decks of cards in randomized response sampling has been developed. The lower bound of variance has been compared with the recent estimator proposed by Odumade and Singh at equal protection of respondents. A real practical face-to-face interview data collected using two decks of cards has been analyzed and the results are discussed.randomized response sampling; estimation of proportion; maximum likelihood estimation; relative efficiency