Randomized Response Model Of Sensitive Survey For Qualitative Characters Using Auxiliary Information

Randomized response technique come into being and develop from practicality, apply to manydomains such as in surveying sensitive questions in society. For the recent 40 years,researchers havebeen trying to improve the randomized device and sampling design in order to be more efficient andaccurate in survey that also improves randomized response.In fact,there are some known auxiliaryinformations and previous datas can also be used to improve the efficiency of the estimators and thelevel of respondent cooperation and the accuracy, so far,the study of randomized response surveyincluding the auxiliary variables (including qualitative and quantitative characters)has not seen.In this paper,the random sampling model tries to the factor auxiliary informations and previousdatas in two submodel-Ratio estimation model and Regression estimation model.Ratio estimationmodel has developed for some existing investigations by the way of using the Auxiliary information inorder to estirnat an unknown proportion of the population bearing a sensitive characteristic.Regressionestimation model was designed to study theoretically when coefficientβis variable in Regressionestimation mean and variance,and compare them to Warner Model,and at last,it was proved that thetheoreticall result of the Regression estimation is uniform by using R process.It is demonstrated thesuperiority the proposed procedure over Warner procedure.To the faircomparison between the quantitative characteristic randomized response techniques,there have been not related study so far. The purpose of this paper is to take fairly comparison toearlier some quantitative characteristic randomized response strategies. There are several importantdifference between results obtained in this paper and some known results. We must reevaluate theseearlier randomized response strategies.