A Remark on Gupta, Gupta and Singh Optional Randomized Response Model

Open access

Abstract

Gupta et al (2002) suggested an optional randomized response model under the assumption that the mean of the scrambling variable S is ‘unity’ [i.e. µs = 1]. This assumption limits the use of Gupta et al’s (2002) randomized response model. Keeping this in view we have suggested a modified optional randomized response model which can be used in practice without any supposition and restriction over the mean (µs) of the scrambling variables S. It has been shown that the estimator of the mean of the stigmatized variable based on the proposed optional randomized response sampling is more efficient than the Eicchorn and Hayre (1983) procedure and Gupta et al’s (2002) optional randomized technique when the mean of the scrambling S is larger than unity [i.e. µs > 1]. A numerical illustration is given in support of the present study.

If the inline PDF is not rendering correctly, you can download the PDF file here.

  • Bhargava M. and Singh R. (2001): Efficiency Comparison of Certain Randomized Response Schemes with U-Model. Journal of The Indian Society of Agricultural Statistics 54(1)19–28.

  • Bhargava M. and Singh R. (2002): On The Efficiency Comparison Of Certain Randomized Response Strategies. Metrika 55(3) 191-197.

  • Eichhorn B. H. and Hayre L. S. (1983): Scrambled Randomized Response Methods For Obtaining Sensitive Quantitative Data. Journal of Statistical Planning and Inference 7307-316.

  • Gjestvang C. R. and Singh S. (2006): A New Randomized Response Model. Journal of The Royal Statistical Society B 68523–530.

  • Gupta S.N. Gupta B.C. and Singh S. (2002): Estimation of Sensitivity Level of Personal Interview Survey Questions. Journal of Statistical Planning and Inference 100 239-247.

  • Singh H.P. and Mathur N. (2003): Modified Optional Randomized Response Sampling Techniques. Journal of Indian Society of Agriculture and Statistics 56(2) 199-206.

  • Singh H.P. and Tarray T.A. (2014): A Stratified Mangat and Singh’s Optional Randomized Response Model Using Proportional and Optimal Allocation. Statistica73(1) 65-83.

  • Singh S and Joarder A.H. (1997): Optional Randomized Response Technique for Sensitive Quantitative Variable. Metron 15:151–157

  • Tarray T.A. Singh H.P. and Yan Z. (2015): A Dexterous Optional Randomized Response Model. Sociological Methods and Research. Doi:10.1177/0049124115605332

  • Tarray T.A. and Singh H.P. (2017): An Optional Randomized Response Model for Estimating a Rare Sensitive Attribute Using Poisson Distribution. Communications in Statistics-Theory and Methods. 46(6) 2638-2654.

  • Tracy D.S. and Mangat N.S. (1996): Some developments in randomized response sampling during the last decade—A follow up of review by Chaudhuri and Mukherjee. Journal of Applied Statistical Sciences. 4 (2) 147–158.

  • Warner S.L. (1965): Randomized Response: A Survey Technique For Eliminating Evasive Answer Bias. Journal of American Statistical Association 60 63-69.

  • Zou G. (1997): Two-Stage Randomized Response Procedures as Single Stage Procedures. Australian Journal of Statistics 39235–236.

Search
Journal information
Impact Factor
Mathematical Citation Quotient (MCQ) 2017: 0.06

Metrics
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 62 62 7
PDF Downloads 66 66 4