Adaptive cluster sampling randomized response model with electronically application

Volume 14, Issue 1, pp 8--14 http://dx.doi.org/10.22436/jnsa.014.01.02

Publication Date: April 28, 2020 Submission Date: December 03, 2019 Revision Date: January 27, 2020 Accteptance Date: February 10, 2020

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Authors

Mahmoud M. Mansour - Department of MIS, Yanbu, Taibah University, Saudi Arabia. - Department of Statistics, Mathematics and Insurance, Benha University, Egypt. Enayat M. Abd Elrazik - Department of MIS, Yanbu, Taibah University, Saudi Arabia. - Department of Statistics, Mathematics and Insurance, Benha University, Egypt.

Abstract

It is difficult to estimate sensitive matters (e.g., addiction, drunken driving, and abortion) in population distributed over a large geographical area by conventional designs of sampling because of the social, political and security conditions that usually lead to their concentration in certain areas. An adaptive sampling scheme extending the initial sample by appropriate â€˜networkâ€™ formations dependent on well-defined â€˜neighborhoodsâ€™ brings about dramatic improvements exploiting the clustering tendencies of people by different places. On another hand to reduce non-response and response bias was needed to make people comfortable and to encourage truthful answers. So also we introduce a new technique to apply a randomized response by tablets, computers, mobile phones and etc. The relative efficiency and protection of the respondents of the proposed randomization device have been investigated. We illustrate our methods using real data from a survey study on the spread of the addiction phenomenon among high school students.

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ISRP Style

Mahmoud M. Mansour, Enayat M. Abd Elrazik, Adaptive cluster sampling randomized response model with electronically application, Journal of Nonlinear Sciences and Applications, 14 (2021), no. 1, 8--14

AMA Style

Mansour Mahmoud M., Abd Elrazik Enayat M., Adaptive cluster sampling randomized response model with electronically application. J. Nonlinear Sci. Appl. (2021); 14(1):8--14

Chicago/Turabian Style

Mansour, Mahmoud M., Abd Elrazik, Enayat M.. "Adaptive cluster sampling randomized response model with electronically application." Journal of Nonlinear Sciences and Applications, 14, no. 1 (2021): 8--14

Keywords

Randomized response method
sensitive attribute
rare unrelated attribute
adaptive cluster sampling

MSC

62D05

References

[1] S. Abdelfatah, R. Mazloum, Efficient estimation in a two-stage randomized response model, Math. Popul. Stud., 22 (2015), 234--251

[2] S. Abdelfatah, R. Mazloum, An efficient two-stage randomized response model under stratified random sampling, Math. Popul. Stud., 23 (2016), 222--238

[3] S. Abdelfatah, R. Mazloum, An improved cluster two-stage randomized response model, Comm. Statist. Simulation Comput., 48 (2019), 58--72

[4] S. Abdelfatah, R. Mazloum, S. Singh, Efficient use of a two-stage randomized response procedure, Braz. J. Probab. Stat., 27 (2013), 608--617

[5] P. D. Bourke, T. Dalenius, Some new ideas in the realm of randomized inquiries, Int. statist. Review, 44 (1976), 219--221

[6] T. C. Christofides, A generalized randomized response technique, Metrika, 57 (2003), 195--200

[7] B. G. Greenberg, A.-L. A. Abul-Ela, W. R. Simmons, D. G. Horvitz, The unrelated question randomized response model: Theoretical framework, J. Amer. Statist. Assoc., 64 (1969), 520--539

[8] J. M. Kim, M. E. Elam, A stratified unrelated question randomized response model, Statist. Papers, 48 (2007), 215--233

[9] J. M. Kim, W. D. Warde, A stratified Warner's randomized response model, J. Statist. Plann. Inference, 120 (2004), 155--165

[10] P. T. Liu, L. P. Chow, The efficiency of the multiple trial randomized response technique, Biometrics, 32 (1976), 607--618

[11] N. S. Mangat, An improved randomized response strategy, J. Roy. Statist. Soc. Ser. B, 56 (1994), 93--95

[12] N. S. Mangat, R. Singh, An alternative randomized response procedure, Biometrika, 77 (1990), 439--442

[13] O. Odumade, S. Singh, Efficient use of two decks of cards in randomized response sampling, Comm. Statist. Theory Methods, 38 (2009), 439--446

[14] S. K. Thompson, Adaptive cluster sampling, J. Amer. Statist. Assoc., 85 (1990), 1050--1059

[15] J. N. Thompson, G. A. F. Seber, Adaptive sampling, John Wiley & Sons, New York (1996)

[16] S. L. Warner, Randomized response: A survey technique for eliminating evasive answer bias, J. Am. Stat. Assoc., 60 (1965), 63--69