An Extension of Quatember’s Randomized Response Model

To procure a reliable information from the population related to the privacy, Warner (1965) proposed an ingenious model, called randomized response model (RRM). We review the various dichotomous randomized response models such as Nayak’s model (1994), Mangat et al.’s model (1995), Bhargava-Singh’s model (2000), two Lee-Hong’s models of W-M model (1999) and G-M model (1999), Chang et al.’s model (2004) and Quatember’s model (2009). We extend Quatember’s randomized response model (QRRM) to two sample QRRM which incorporate the unknown unrelated population proportion. We propose a stratified QRRM for stratified population and extend it into stratified two sample QRRM covering unknown proportion of unrelated attribute. We also deal with proportional allocation and optimum one as allocation methods under the stratified QRRM. We can see that the stratified QRRM is more efficient than QRRM according to the value of π and πy.