Abstract: The paper considers the problem of optimum stratification when the information on the auxiliary variable x is used to estimate the population mean y − of the sensitive study variable y using ratio and regression methods of estimation and the data are collected by scrambled randomized response technique on the sensitive character. The paper proposes cum. p 4 ( x ) 3 rule for finding approximate optimum strata boundaries (AOSB).
Keywords: Optimum stratification, scrambled response, ratio and regression, minimal equations, optimum strata boundaries, relative efficiency