Likelihood-based estimation of the regression model with scrambled responses

Australian and New Zealand Journal of Statistics

Volumn 40, Issue 3, 1998, Pages 279-290

  Strachan, Rodney ^a   King, Maxwell ^a   Singh, Sarjinder ^b  

^a MONASH UNIVERSITY   (Australia)

^b AUSTRALIAN BUREAU OF STATISTICS   (Australia)

Author keywords

Markov chains; Monte Carlo integration; Numerical integration; Randomized response

Indexed keywords

EID: 10044250891     PISSN: 13691473     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-842X.00032     Document Type: Article

References (12)

1. BERNDT, E., HALL, B., HALL, R. & HAUSMAN, J. (1974). Estimation and inference in nonlinear structural models. Ann. Econom. Social Measurement 3/4, 653-665.
2. CHIB, S. & GREENBERG, E. (1996). Markov chain Monte Carlo simulation methods in econometrics. Econom. Theory 12, 409-431.
3. EICHHORN, B.H. & HAYRE, L.S. (1983). Scrambled randomized response methods for obtaining sensitive quantitative data. J. Statist. Plann. Inference 7, 307-316.
4. FLETCHER, R. (1987). Practical Methods of Optimization, 2nd edn. New York: John Wiley.
5. GELFAND, A.E. & SMITH, A.F.M. (1990). Sampling-based approaches to calculating marginal densities. J. Amer. Statist. Assoc. 85, 398-409.
6. HIMMELFARB, S. & EDGELL, S.E. (1980). Additive constant model: a randomized response technique for eliminating evasiveness to quantitative response questions. Psychol. Bull. 87, 525-530.
7. KLEIBERGEN, F. & VAN DIJK, H.K. (1996). Bayesian simultaneous equations analysis using reduced rank structures. Working paper, Econometric Institute and Tinbergen Institute. Rotterdam, The Netherlands.
8. SINGH, S., JOARDER, A.H. & KING, M.L. (1996). Regression analysis using scrambled responses. Austral. J. Statist. 38, 201-211.
9. SMITH, A.F.M. & ROBERTS, G.O. (1993). Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods. J. Roy. Statist. Soc. Ser. B 55, 3-23.
10. TANNER, M.A. (1993). Tools for Statistical Inference, 2nd edn. New York: Springer-Verlag.
11. WARNER, S.L. (1965). Randomized response: a survey technique for eliminating evasive answer bias. J. Amer. Statist. Assoc. 60, 63-69.
12. ZELLNER, A. (1971). An Introduction to Bayesian Inference in Econometrics. New York: Wiley.