AN IMPROVED NEW ADDITIVE MODEL

Abstract

In this paper, an improved new additive model has been proposed. The proposed model is found to be more efficient than the randomized response models studied by Gjestvang and Singh (2009) and Singh (2010). The relative efficiency of the proposed model has been studied with respect to the Gjestvang and Singh (2009) and Singh (2010) model. It is found that the envisaged model is superior to those additive models earlier considered by Gjestvang and Singh (2009) and Singh (2010) under certain realistic conditions. Numerical illustrations are also given in support of the present study.

Keywords

• Randomized response sampling,Estimation of proportion,sensitive quantitative variable.

References

1. Fox, J.A., Tracy, P. E., “Randomized Response: A method of Sensitive Surveys”, CA: SEGE Publications, (1986). Newbury Park,
2. Gjestvang, C.R., Singh, S., “A new randomized response model”, Jour. Roy. 530, (2006). Statist.Soc., 68,
3. Gjestvang, C. R., Singh, S., “An improved randomized response model: Estimation of mean”, Jour. Appl. Statist., 32 (12), 1361-1367, (2009).
4. Gupta, S., Shabbir, J., Sehra, S., “Mean and Sensitivity Estimation in Optional Randomized Response Model”, Jour. Statist. Plan. Infer. , 140 (10) 2870- , ( 2010).
5. Gupta, S., Shabbir, J., Sousa, S., Corte-Real, P., “Estimation of the Mean of a Sensitive Variable in the Presence of Auxiliary Information”, Comm. Statist. Theo. Meth., 41, 2394- 2404, ( 2012).
6. Singh, H.P., Mathur, N., “Estimation of population mean with known under optional response model using scrambled response 1093, (2004). of variation technique”.Statist. Trans., 6, (7),
7. Singh, H.P., Mathur, N., “Estimation of population mean when coefficient of using scrambled response technique”, Jour. Statist. Plan. (2005). variation is known , 144,
8. Singh, H.P., Tarray, T.A., “A modified survey technique for estimating the sensitivity in a dichotomous finite population”, Inter. Jour. Advanc. Scien. Techn. Res., 3(6), – 472, (2013). proportion and a rare sensitive

9. Tarray, T.A., Singh, H.P., “A Proficient randomized response model”. Istatistika: Statist. Assoc, In Press, (2015). Jour. Turkey
10. Singh, S., “Proposed optimal orthogonal new additive model (POONAM)”, LXX (1), 73-81, (2010). Statistica, anno,
11. Warner, S.L., “Randomized response: A survey technique for eliminating evasive bias”, Jour. Amer. Statist. Assoc., 60, 63-69, (1965). answer