Abstract
Sensitive topics or highly personal questions are often faced in medical psychological and socio-economic survey. Warner’s pioneering randomized response (RR) device, as a method for reducing evasive answer bias while estimating the proportion of people in a community bearing a sensitive attribute, has been studied extensively over the last four decades. This paper proposes a new model (named the logistic model) for survey sampling with sensitive characteristics, and provides the suitable estimators for estimating an unknown proportion of people bearing a sensitive characteristic in a given community. That is a development for some existing research results concerning the randomized response theory. A numerical study comparing the performance of the proposed procedure and Warner’s (1965)[10]procedure is reported.
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References
Anthony, Y.C.K.: Asking sensitive questions indirectly. Biometrika 77(2), 436–443 (1990)
Arnab, R.: Randomized response surveys:estimation of a finite population total. Statistical Papers 39, 405–408 (1998)
Chaudhuri, A.: Using randomized response from a complex survey to estimate a sensitive proportion in a dichotomous finite population. J. of Statistical Planning and Inference 94, 37–42 (2001)
Chaudhuri, A., Mukerjee: Randomized Response: Theory and techniques. Marcel Dekker, New York (1998)
Horvitz, D.G., Shah, B.V., Simmons, W.R.: The unrelated question randomized response model. Proc. Statist. Sect. Am. Statist. Assoc., 65–72 (1967)
Greenberg, B.G., Abul-Ela, L.A., Simon, W.R., Horvitz, D.G.: The unrelated-question randomized response model: theoretical framework. J. Amer. Statist. Assoc. 64, 520–539 (1969)
Manget, N.S., Singh, R.: An alternative randomized response procedure. Biometrika 77(2), 439–442 (1990)
Bourke, P.D., Moran, M.A.: Estimating proportions from randomized response data using the EM algorithm. J. Am. Statist. Assoc. 83(404), 964–968 (1984)
Singh, S.: A new Stochastic randomized response model. Metrika 56, 131–142 (2002)
Warner, S.L.: Randomized response:a survey technique for eliminating evasive answer bias. J. Am. Statist. Assoc. 60, 63–69 (1965)
Yanzaizai, Niezankan: A fair comparison of the randomized response strategies. Acta Mathematica Scientia 24A(3), 362–368 (2004)
Fan, X., Wang, L.: Comparing linear discriminant function with logistic regression for the two-group classification problem. The Journal of Experimental Education 67(3), 265–286 (1999)
Lei, P.-W., Koehly, L.M.: Linear discriminant analysis versus logistic regression: A comparison of classification errors. In: The 2000 Annual Meeting of American Educational Research Association, New Orleans, LA (2000)
Yan, Z.: Ratio method of estimation of population proportion using randomized response technique. Model Assisted Statistics and Applications 1(2), 125–130 (2006)
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Yan, Zz., Ji, Ph. (2009). Logistic Randomized Response Model. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_38
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DOI: https://doi.org/10.1007/978-3-540-88914-4_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88913-7
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