Enhancing a Randomized Response Model to Estimate Population Means to Sensitive Questions

REFERENCES

• Abernathy , J.R. , Greenberg , B.G. , and Horvitz , D.G. ( 1970 ). Estimates of induced abortion in Urban North Carolina . Demography , 7 : 19 – 29 .
   PubMedGoogle Scholar
• Anderson , H. ( 1976 ). Estimation of a proportion through randomized response . International Statistical Review/Revue Internationale de Statistique , 44 ( 2 ): 213 – 217 .
   Web of Science ®Google Scholar
• Arnab , R. ( 2004 ). Optional randomized response techniques for complex designs . Biometrical Journal , 46 ( 1 ): 114 – 124 .
   Web of Science ®Google Scholar
• Blythe , S.P. , Chavez , C.C. , and Casella , G. ( 1992 ). Empirical methods for the estimation of the mixing probabilities for socially structured populations from a single survey sample . Mathematical Population Studies , 3 ( 3 ): 199 – 225 .
   PubMedGoogle Scholar
• Chaudhuri , A. , Adhikary , A.K. , and Dihidar , S. (2000). Mean square error estimation in multi-stage sampling. Metrika , 52: 115–131.
   Web of Science ®Google Scholar
• Chaudhuri , A. and Dihidar , K. ( 2009 ). Estimating means of stigmatizing qualitative and quantitative variables from discretionary responses randomized or direct . Sankhya, Series B , 71 ( 1 ): 123 – 136 .
   Google Scholar
• Chaudhuri , A. and Mukerjee , R. ( 1988 ). Randomized Response: Theory and Techniques . New York : Marcel Dekker .
   Google Scholar
• Dowling , T.A. and Shachtman , R.H. ( 1975 ). On the relative efficiency of randomized response models . Journal of the American Statistical Association , 70 ( 349 ): 84 – 87 .
   Web of Science ®Google Scholar
• Lensvelt-Mulders , G.L.M. , Hox , J.J. , and Van Der Heijden , P.G.M. ( 2005 ). How to improve the efficiency of randomized response designs . Quality and Quantity , 39 : 253 – 265 .
   Web of Science ®Google Scholar
• Gjestvang , C.R. and Singh , S. ( 2009 ). An improved randomized response model: Estimation of mean . Journal of Applied Statistics , 36 ( 12 ): 1361 – 1367 .
   Web of Science ®Google Scholar
• Greenberg , B.G. , Abul-Ela , A.L.A. , Simmons , W.R. , and Horvitz , D.G. ( 1969 ). The unrelated question randomized response model: Theoretical framework . Journal of the American Statistical Association , 64 : 520 – 539 .
   Web of Science ®Google Scholar
• Greenberg , B.G. , Kuebler , R.R. , Abernathy , J.R. , and Horvitz , D.G. ( 1977 ). Respondent hazards in the unrelated question randomized response model . Journal of Statistical Planning and Inference , 1 : 53 – 60 .
   Web of Science ®Google Scholar
• Gupta , S. , Gupta , B. , and Singh , S. ( 2002 ). Estimation of sensitivity level of personal interview survey questions . Journal of Statistical Planning and Inference , 100 : 239 – 247 .
   Web of Science ®Google Scholar
• Himmelfarb , S. and Edgell , S.E. ( 1980 ). Additive constant model: A randomized response technique for eliminating evasiveness to quantitative response questions . Psychological Bulletin , 87 ( 3 ): 525 – 530 .
   Web of Science ®Google Scholar
• Horvitz , D.G. , Saha , B.V. , and Simmons , W.R. ( 1967 ). The unrelated question randomized response model . Proceedings of the Social Statistics Section of American Statitstical Association , 65 – 72 .
   Google Scholar
• Leeuw , E.D. d. , Hox , J.J. , and Snijkers , G. ( 1995 ). The effect of computer assisted interviewing on data quality: A review . Journal of the Market Research Society , 37 : 325 – 344 .
   Web of Science ®Google Scholar
• Mangat , N.S. and Singh , R. ( 1990 ). An alternative randomized response procedure . Biometrika , 77 : 439 – 442 .
   Web of Science ®Google Scholar
• Mangat , N.S. and Singh , S. ( 1994 ). Optional randomized response model . Journal of Indian Statistical Association , 32 ( 3 ): 71 – 75 .
   Google Scholar
• Morris , M. and O'Gorman , J. ( 2000 ). The impact of measurement error on survey estimates of concurrent partnerships . Mathematical Population Studies , 8 ( 3 ): 231 – 249 .
   Google Scholar
• 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 : 157 – 164 .
   Web of Science ®Google Scholar
• Raj , D. ( 1966 ). Some remarks on a simple procedure of sampling without replacement . Journal of the American Statistical Association , 61 : 391 – 396 .
   Web of Science ®Google Scholar
• Rao , J.N.K. , Hartley , H.O. , and Cochran , W.G. ( 1962 ). On a simple procedure of unequal probability sampling without replacement . Journal of the Royal Statistical Society, Series B , 24 : 482 – 491 .
   Google Scholar
• Shimizu , I.M. and Bonham , G.S. ( 1978 ). Randomized response technique in a national survey . Journal of the American Statistical Association , 73 ( 361 ): 35 – 39 .
   PubMed Web of Science ®Google Scholar
• Singh , S. and Joarder , A.H. ( 1997 ). Optional randomized response technique for sensitive quantitative variable . Metron , 55 : 151 – 157 .
   Google Scholar
• Warner , S.L. ( 1965 ). Randomized response: A survey technique for eliminating evasive answer bias . Journal of the American Statistical Association , 60 : 63 – 69 .
   PubMed Web of Science ®Google Scholar