Variance estimation of persons infected with AIDS under ranked set sampling

This paper deals with the analysis of the estimation of the variance of a sensitive variable. The randomized response (RR) procedure gives confidence to the interviewee that his/her information on private (sensitive variable) is protected. In general, a simple random sampling (SRS) with replacement design is used for selecting a sample. We develop a model for the estimation of the variance of sensitive variable in randomized response procedure, when ranked set sampling (RSS) design is used under ranking criteria. The usual gain in accuracy related to the use of ranked set sampling is revealed. The performance of the proposed model is demonstrated using data provided by a study of samples of persons infected with AIDS disease.