The randomized response （RR） technique is an effective survey method when collecting sensitive information. This paper proposes a new non-randomized response model for survey sampling with polychotomous sensitive qu...The randomized response （RR） technique is an effective survey method when collecting sensitive information. This paper proposes a new non-randomized response model for survey sampling with polychotomous sensitive questions： Two-valued response technique. The proportion of the sensitive attribute and its estimator＇s variance are estimated under the simple random sampling without replacement and with replacement designs. The relation between the efficiency and the protection of privacy is discussed. The result indicates that the efficiency is in conflict with protection of privacy in the new proposed model, which is the same as that in the RR technique, but the new technique has better characteristics in sociological practice aspects than the RR technique, because it is of low cost, saving time and being operated easily.展开更多
Obtaining correct responses to sensitive questions in social and behavioural researches is an ancient problem in survey research with respondents misreporting on sensitive behaviours or giving false response to protec...Obtaining correct responses to sensitive questions in social and behavioural researches is an ancient problem in survey research with respondents misreporting on sensitive behaviours or giving false response to protect themselves.This paper develops an alternative unbiased estimator by modifying the dichotomous randomized response technique model to tackle this problem.The proposed estimatorwas compared numerically with conventional ones by considering different practicable and suitable design choices.Proposed model was also considered when sampling with unequal probabilities with or without replacement.It was observed that the proposed estimator performs efficiently than the conventional ones.As the proposed model captures progressively more people involved in the sensitive attribute,the model outperforms other models considered.Therefore,social and behavioural researchers can now obtain correct and valid responses from sensitive behavioural researches with ease in order to make informed and reliable decisions.展开更多
Recently,Ahmed et al.(Commun Stat Theory Methods 47(2):324-343,2018)have introduced the idea of simultaneously estimating means of two sensitive variables by collecting one scrambled response and another pseudo-respon...Recently,Ahmed et al.(Commun Stat Theory Methods 47(2):324-343,2018)have introduced the idea of simultaneously estimating means of two sensitive variables by collecting one scrambled response and another pseudo-response.In this paper,we extend their idea to the simultaneous estimation of two means by making use of the forced quantitative randomized response model of Gjestvang and Singh(Metrika 66(2):243-257,2007)but then re-scrambling the scrambled scores.This idea of re-scrambling already scrambled responses seems completely new in the field of randomized response sampling.The performance of the proposed forced quantitative randomized response model has been investigated analytically as well as empirically.展开更多
基金This research is supported by the National Natural Science Foundation of China under Grant No. 10761004, the Natural Science Foundation of Inner Mongolia under Grant Nos. 2009MS0107 and 2010MS01116, the Talent Development Foundation of Inner Mongolia （2007）, and the Natural Science Foundation of Inner Mongolia University of Technology under Grant No. X200934.
文摘The randomized response （RR） technique is an effective survey method when collecting sensitive information. This paper proposes a new non-randomized response model for survey sampling with polychotomous sensitive questions： Two-valued response technique. The proportion of the sensitive attribute and its estimator＇s variance are estimated under the simple random sampling without replacement and with replacement designs. The relation between the efficiency and the protection of privacy is discussed. The result indicates that the efficiency is in conflict with protection of privacy in the new proposed model, which is the same as that in the RR technique, but the new technique has better characteristics in sociological practice aspects than the RR technique, because it is of low cost, saving time and being operated easily.
文摘Obtaining correct responses to sensitive questions in social and behavioural researches is an ancient problem in survey research with respondents misreporting on sensitive behaviours or giving false response to protect themselves.This paper develops an alternative unbiased estimator by modifying the dichotomous randomized response technique model to tackle this problem.The proposed estimatorwas compared numerically with conventional ones by considering different practicable and suitable design choices.Proposed model was also considered when sampling with unequal probabilities with or without replacement.It was observed that the proposed estimator performs efficiently than the conventional ones.As the proposed model captures progressively more people involved in the sensitive attribute,the model outperforms other models considered.Therefore,social and behavioural researchers can now obtain correct and valid responses from sensitive behavioural researches with ease in order to make informed and reliable decisions.
文摘Recently,Ahmed et al.(Commun Stat Theory Methods 47(2):324-343,2018)have introduced the idea of simultaneously estimating means of two sensitive variables by collecting one scrambled response and another pseudo-response.In this paper,we extend their idea to the simultaneous estimation of two means by making use of the forced quantitative randomized response model of Gjestvang and Singh(Metrika 66(2):243-257,2007)but then re-scrambling the scrambled scores.This idea of re-scrambling already scrambled responses seems completely new in the field of randomized response sampling.The performance of the proposed forced quantitative randomized response model has been investigated analytically as well as empirically.
基金Supported by Natural Science Foundation of Inner Mongolia(200308020101) Department of Education, Inner Mongolia (NJ03004) Natural Science Foundation of Inner Mongolia University of Technology (200217).
