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A sprightly mathematical model in the presence of scrambled responses | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 7، دوره 16، شماره 6، شهریور 2025، صفحه 71-79 اصل مقاله (1.04 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.25754.3117 | ||
| نویسندگان | ||
| Mohd Younus Bhat* 1؛ Tanveer Ahmad Tarray2؛ Saboor Mantoo2 | ||
| 1Department of Mathematical Sciences, Islamic University of Science and Technology Awantipora | ||
| 2Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora, J&K, India-192122. | ||
| تاریخ دریافت: 10 دی 1400، تاریخ بازنگری: 02 اسفند 1401، تاریخ پذیرش: 16 فروردین 1403 | ||
| چکیده | ||
| The crux of this paper is to develop a new “Partial” randomized response model. Its properties are studied both theoretically as well as empirically. The proposed model is proved to be more efficient than the randomized response models studied by Eichhorn and Hayre [3] and the “Partial” randomized response model. | ||
| کلیدواژهها | ||
| Randomized response sampling؛ Estimation of proportion؛ sensitive quantitative variable؛ Bogus pipeline | ||
| مراجع | ||
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[1] D.P. Crowne and D. Marlowe, A new scale of social desirability of psychopathy, J. Consul. Psycho. 24 (1960), 349–354. [2] A.L. Edward, The Social Desirability Variable in Personality Assessment and Research, Dryden, New York, 1975. [3] B.H. Eichhorn and L.S. Hayre, Scrambled randomized response methods for obtaining sensitive quantitative data, J. Statist. Plann. Inf. 7 (1983), 307–316. [4] J.A. Fox and P.E. Tracy, Randomized Response: A method of Sensitive Surveys, SAGE Publications, Newbury Park, 1986. [5] S. Gupta and J. Shabbir, Sensitivity estimation for personal interview survey questions, Statistica 64 (2004), no. [6] S. Gupta and B. Thornton, Circumventing social desirability response bias in personal interview surveys, Amer. J. Math. Manag. Sci. 22 (2003), 369–383. [7] E.E. Jones and H. Sigall, he bogus pipe line: A new paradigm for measuring affect and attitude, Psycho. Bulle 76 (1971), 349–364. [8] N.S. Mangat and R. Singh, An alternative randomized response procedure, Biometrika 77 (1990), 439–442. [9] G.N. Singh, C. Singh, and A. Kummar, A modified randomized device for estimation of population mean of quantitative sensitive variable with measure of privacy protection, Comm. Stat. Simul. Comput. 51 (2022) 1867–1894. [10] G.N. Singh and C. Singh, Proficient randomized response model based on blank card strategy to estimate the sensitive parameter under negative binomial distribution, Ain Shams Eng. J. 13 (2012), no. 5, 101611. [11] H.P. Singh and T.A. Tarry, A Stratified Unknown repeated trials in randomized response sampling., Comm. Korean Statist. Soc. 19 (2012), no. 6, 751–759. [12] H.P. Singh and T.A. Tarry, An alternative to Kim and Warde’s mixed randomized response model, Statist. Oper. Res. Trans. 37 (2013), no. 2, 189–210. [13] S.L. Warner, Randomized response: a survey technique for eliminating evasive answer bias, J. Ameri. Statist. Assoc. 60 (1965), 63–69. [14] Y. Zaizai, W. Jingyu, L. Junfeng, and W. Hua, Ratio imputation method for handling item-nonresponse in Eichhorn model, Assist. Statist. Appl. 3 (2008), no. 2, 89–98. | ||
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