Abstract
In this paper, a simple and obvious procedure is presented that allows to estimate the population proportion Pi possessing sensitive attribute using simple random sampling with replacement (SRSWR). In addition to T, the probability that a respondent truthfully states that he or she bears a sensitive character when experienced in a direct response survey. An efficiency comparison is carried out to investigate in the performance of the proposed method. It is found that the proposed strategy is more efficient than Warner’s (1965) as well as Huang’s (2004) randomized response techniques under some realistic conditions. Numerical illustrations and graphical representations are also given in support of the present study.
Highlights
A major source of bias in surveys of human populations results from the refusal of participants to cooperate and provide truthful responses, especially in cases where a question of sensitive nature is involved
The randomized response technique is a procedure for collecting the information on sensitive characteristics without exposing the identity of the respondent
We have suggested a new randomized response procedure with the help of a randomized response procedure discussed in Singh et al (1995)
Summary
A major source of bias in surveys of human populations results from the refusal of participants to cooperate and provide truthful responses, especially in cases where a question of sensitive nature is involved. The randomized response technique is a procedure for collecting the information on sensitive characteristics without exposing the identity of the respondent It was first introduced by Warner (1965) as an alternative survey technique for socially undesirable or incriminating behavior questions such topics as drunk driving, tax evasion, illicit drug use, induced abortion, shop lifting, child abuse, family disturbances, cheating in exams, HIV/AIDS, and sexual behavior, etc. An interesting method for the estimation of and T is given by Huang (2004), which improves on an earlier proposal by Chang and Huang (2001) In this procedure each respondent is initially required to declare if he is in group “A” or in group “Ac”. The mean square error of the estimator T H , up to terms of order O(n 1) , as MSE(TH )
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