A new non-randomized model for analysis sensitive questions with binary outcomes

Statistics in Medicine

Volumn 26, Issue 23, 2007, Pages 4238-4252

  Tian, Guo Liang ^a,d   Yu, Jun Wu ^b   Tang, Man Lai ^c   Geng, Zhi ^d  

^a UNIVERSITY OF MARYLAND GREENEBAUM CANCER CENTER   (United States)

^b HUNAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

^d PEKING UNIVERSITY   (China)

Author keywords

A optimality; Bootstrap; Constrained MLE; EM algorithm; Randomized response technique; Sensitive question; Survey sampling

Indexed keywords

ACQUIRED IMMUNE DEFICIENCY SYNDROME; ANALYTICAL ERROR; ARTICLE; BOOTSTRAPPING; CHI SQUARE TEST; DATA ANALYSIS; HEALTH SURVEY; HUMAN; HUMAN IMMUNODEFICIENCY VIRUS INFECTION; INFERENTIAL STATISTICS; INFORMATION PROCESSING; INTERVIEW; MAXIMUM LIKELIHOOD METHOD; POSTAL MAIL; POWER ANALYSIS; PRIVACY; PROBABILITY; SAMPLE SIZE; STATISTICAL MODEL;

DATA INTERPRETATION, STATISTICAL; INTERVIEWS AS TOPIC; LIKELIHOOD FUNCTIONS; MODELS, STATISTICAL; QUESTIONNAIRES; UNITED STATES;

EID: 34548711356     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.2863     Document Type: Article

References (28)

1. Corstange D. Sensitive questions, truthful response? Randomized response and hidden logit as a procedure to estimate it. 2004 Annual Meeting of the American Political Science Association, Chicago, 2-5 September 2004. http:/www.umich.edu/~dancorst
2. Elffers H, Robben HSJ, Hessing DJ. On measuring tax evasion. Journal of Economic Psychology 1992; 13: 545-567.
3. Fox J, Tracy P. Randomized Response: A Method for Sensitive Surveys. Sage: Beverley Hills, 1986.
4. Chaudhuri A, Mukerjee R. Randomized Response: Theory and Techniques. Marcel Dekker: New York, 1988.
5. Lee RM. Doing Research on Sensitive Topics. Sage: Newbury Park, CA, 1993.
6. Warner SL. Randomized response: a survey technique for eliminating evasive answer bias. Journal of the American Statistical Association 1965; 60:63-69.
7. Horvitz DG, Shah BV, Simmons WR. The unrelated question randomized response model. 1967 Proceedings of the Social Statistics Section, American Statistical Association, Washington, 1967; 65-72.
8. Greenberg BG, Abul-Ela AA, Simmons WR, Horvitz DG. The unrelated question randomized response model: theoretical framework. Journal of the American Statistical Association 1969; 64:520-539.
9. Kuk AYC. Asking sensitive questions indirectly. Biometrika 1990; 77:436-438.
10. Mangat NS, Singh R. An alternative randomized response procedure. Biometrika 1990; 77:439-442.
11. Mangat NS. An improved randomized response strategy. Journal of the Royal Statistical Society, Series B 1994; 56:93-95.
12. Chang HJ, Liang DH. A two-stage unrelated randomized response procedure. Australian Journal of Statistics 1996; 38:43-51.
13. Zou GH. Two-stage randomized response procedures as single stage procedures. Australian Journal of Statistics 1997; 39:235-236.
14. Bhargava M, Singh R. On the efficiency comparison of certain randomized response strategies. Metrika 2002; 55:191-197.
15. Kim JM, Warde WD. A stratified Warner's randomized response model. Journal of Statistical Planning and Inference 2004; 120:155-165.
16. Kim JM, Elam ME. A two-stage stratified Warner's randomized response model using optimal allocation. Metrika 2005; 61:1-7.
17. Saha A. Optimal randomized response in stratified unequal probability sampling - a simulation based numerical study with Kuk's method. Test 2006, in press.
18. Fox J, Tracy P. Measuring associations with randomized response. Social Science Research 1984; 13:188-197.
19. Lakshmi DV, Raghavarao D. A test for detecting untruthful answering in randomized response procedures. Journal of Statistical Planning and Inference 1992; 31(3):387-390.
20. Christofides TC. Randomized response technique for two sensitive characteristics at the same time. Metrika 2005; 62(1):53-63.
21. Kim JM, Warde WD. Some new results on the multinomial randomized response model. Communications in Statistics - Theory and Methods 2005; 34:847-856.
22. Lensvelt-Mulders GJLM, Hox JJ, Van Der Heijden PGM, Maas CJM. Meta-analysis of randomized response research: thirty-five years of validation. Sociological Methods and Research 2005; 33:319-348.
23. Dempster AP, Laird NM, Rubin DB. Maximum likelihood estimation from incomplete data via the EM algorithm (with Discussions). Journal of the Royal Statistical Society, Series B 1977; 39:1-38.
24. Bourke PD, Moran MA. Estimating proportions from randomized response data using the EM algorithm. Journal of the American Statistical Association 1988; 83:964-968.
25. Efron B, Tibshirani RJ. An Intmduction to the Bootstrap. Chapman & Hall/CRC: London, Boca Raton, FL, 1993.
26. Bourke PD. Randomized response multivariate designs for categorical data. Communications in Statistics - Theory and Methods 1982; 11:2889-2901.
27. Atkinson AC, Donev AN. Optimum Experimental Designs. Clarendon Press: Oxford, 1992.
28. Strauss SM, Rindskopf DM, Falkin GP. Modeling relationships between two categorical variables when data are missing: examining consequences of the missing data mechanism in an HIV data set. Multivariate Behavioral Research 2001; 36(4):471-500.