How Privacy May Be Protected in Optional Randomized Response Surveys

• Autorzy: Sanghamitra Pal , Arijit Chaudhur , Dipika Patra
• Języki publikacji: EN

Abstrakty

EN

There are materials in literature about how privacy on stigmatizing features like alcoholism, history of tax-evasion, or testing positive in AIDS-related testing may be partially protected by a proper application of randomized response techniques (RRT). The paper demonstrates what amendments are necessary for this approach while applying optional RRTs covering qualitative characteristics, permitting a sampled respondent either to directly reveal sensitive data or choose a randomized response respectively with complementary probabilities. Only a few standard RRTs are illustrated in the text. (original abstract)

Słowa kluczowe

PL

Randomizacja; Badania ankietowe; Ochrona dóbr osobistych; Modele statystyczne

EN

Randomization; Questionnaire survey; Protection of personal goods; Statistical models

• Czasopismo: Statistics in Transition
• Rocznik: 2020
• Tom: 21
• Numer: nr 2
• Strony: 61-87

Twórcy

autor

Sanghamitra Pal

• Department of Statistics, West Bengal State University, India

autor

Arijit Chaudhur

• Applied Statistics Unit, Indian Statistical Institute, Kolkata, India

autor

Dipika Patra

• Department of Statistics, West Bengal State University, India

Bibliografia

• ARNAB, R., (2004). Optional randomized response techniques for complex survey designs. Biom, J. 46, pp. 114-124.
• ARNAB, R., RUEDA, M., (2016). Optional randomized response: A critical review. Handbook of statistics, Elsevier, 34, pp. 253-271.
• CHAUDHURI, A., (2001). Using randomized response from a complex survey to estimate a sensitive proportion in a dichotomous finite population, Journal of Statistical Planning and Inference, 94, pp. 37-42.
• CHAUDHURI, A., (2011). Randomized response and indirect questioning techniques in surveys. CRC Press, Fl. USA.
• CHAUDHURI, A., CHRISTOFIDES, T. C., (2013). Indirect questioning in sample surveys. Springer-Verlag, Berlin, Heidelberg.
• CHAUDHURI, A., DIHIDAR, K., (2009). Estimating means of stigmatizing qualitative and quantitative variables from discretionary responses randomized or direct. Sankhya B, 71, pp. 123-136.
• CHAUDHURI, A., MUKERJEE, R., (1985). Optionally randomized responses techniques. Calcutta Statistical Association Bulletin, 34, pp. 225-229.
• CHAUDHURI, A., SAHA, A., (2005). Optional versus compulsory randomized response techniques in complex surveys, Journal of Statistical Planning and Inference, 135, pp. 516-527.
• CHAUDHURI, A., CHRISTOFIDES, T. C., RAO, C. R., (2016). Handbook of statistics, Data Gathering, Analysis and Protection of Privacy Through Randomized Response Techniques: Qualitative and Quantitative Human Traits. Elsevier, NL, 34, pp. 2-525.
• CHAUDHURI, A., CHRISTOFIDES, T. C., SAHA, A., (2009). Protection of privacy in efficient application of randomized response techniques, Statistical Methods and Applications, 18, pp. 389-418.
• GREENBERG, B. G., ABUL-ELA, A.-L., SIMMONS, W. R., HORVITZ, D. G., (1969). The unrelated question RR model: Theoretical framework, Journal of American Statistical Association, 64, pp. 520-539.
• GUPTA, S., (2001). Qualifying the sensitivity level of binary response personal interview survey questions. Journal of Combinatorics, Information and System Sciences, 26 (1- 4), pp. 101-109.
• GUPTA, S., GUPTA, B., SINGH, S., (2002). Estimation of sensitivity level of personal interview survey question, Journal of Statistical Planning and Inference, 100, pp. 239-247.
• HORVITZ, D. G., THOMPSON, D. J., (1952). A generalization of sampling without replacement from a finite universe, Journal of American Statistical Association, 47, pp. 663-685.
• HUANG, K. C., (2008). Estimation of sensitive characteristics using optional randomized techniques, Qual. Quant. 42, pp. 679-686.
• KUK, A. Y. C., (1990). Asking sensitive questions indirectly. Biometrika, 77(2), pp. 436-438.
• LAHIRI, D. B., (1951). A method of sample selection providing unbiased ratio estimates, Bulletin of International Statistical Institute, 3, pp. 133-140.
• MIDZUNO, H., (1952). On the sampling system with probability proportional to the sum of the sizes, Annals of the Institute of Statistical Mathematics, 3, pp. 99-107.
• PAL, S., (2008). Unbiasedly estimating the total of a stigmatizing variable from a complex survey on permitting options for direct or randomized responses, Statistical Papers, 49, pp. 157-164.
• SAHA, A., (2007). Optional randomized response in stratified unequal probability sampling. A simulation based numerical study with Kuk's method, Test 16, pp. 346-354.
• SEN, A. R., (1953). On the estimator of the variance in sampling with varying probabilities, Journal of Indian Society of Agricultural Statistics, 5, pp. 119-127.
• WARNER, S. L., (1965). Randomized response: a survey technique for eliminating evasive answer bias, Journal of American Statistical Association, 60, pp. 63-69.

Identyfikatory

DOI

10.21307/stattrans-2020-014