An improved procedure for estimation of proportion of a sensitive attribute of the population

Article type: Research Article

Authors: Mathur, Nidhi | Singh, Housila P.

Affiliations: School of Studies in Statistics, Vikram University, Ujjain-10, India. E-mails: nidhimathur_29@yahoo.co.in and hpsujn@rediffmail.com

Abstract: In this paper, we have suggested a family of estimators πˆW for estimating π, the proportion of population having sensitive category, under unrelated question randomized response model. It is shown that the suggested class of estimators πˆW of π is more efficient than Mangat et al.’s [8] estimator πˆ1. Since πˆW bases on the unknown scalar W, it has little practical utility. By replacing W in πˆW by its various estimated values, tww estimators πˆW(i), i=1,2, have been suggested for use in practice. Exact efficiency of πˆW(i) have been worked out numerically.

Keywords: Randomized response technique, Sensitive attribute, Percent relative efficient (PRE), Mean square error (MSE)

DOI: 10.3233/MAS-2009-0104

Journal: Model Assisted Statistics and Applications, vol. 4, no. 1, pp. 15-21, 2009