The Three-Stage Stratified Unrelated Question Model

- Journal title : Communications for Statistical Applications and Methods
- Volume 18, Issue 4, 2011, pp.423-431
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2011.18.4.423

Title & Authors

The Three-Stage Stratified Unrelated Question Model

Lee, Gi-Sung; Hong, Ki-Hak; Son, Chang-Kyoon;

Lee, Gi-Sung; Hong, Ki-Hak; Son, Chang-Kyoon;

Abstract

For procuring more sensitive information and estimating stratum target population proportion as well as an overall one form a sensitive population composed of several strata we suggest a two-stage stratified unrelated question model that uses stratified random sampling instead of simple random sampling in the two-stage unrelated question model by Kim et al. (1992) and extend it to the three-stage stratified unrelated question model. We also deal with the proportional and optimal allocation problems in each suggested model, compare the relative efficiency of the suggested two models, and show that the three-stage stratified unrelated question model is more efficient than the two-stage one in view of the variance.

Keywords

Sensitive question;three-stage unrelated question model;stratified random sampling;

Language

Korean

References

1.

김종민, 채성산(2010a). 3단계 확률화응답모형, <대전대 사회과학논문집>, 28, 135-147.

3.

김종호, 류제복,이기성(1992). 새로운 2단계 확률화응답모형, <응용통계연구>, 5, 157-167.

4.

류제복, 홍기학,이기성(1993). <확률화응답모형>, 자유아카데미, 서울.

5.

안승철, 이기성(2003). 층화 무관질문모형, Journal of the Korean Data Analysis Society, 5, 853-864.

6.

Chaudhuri, A. and Mukerjee, R. (1988). Randomized Response: Theory and Techniques, Marcel Dekker, Inc., New York.

7.

Fox, J. A. and Tracy, P. E. (1986). Randomized Response: A Method for Sensitive Survey, Sage Publications.

8.

Greenberg, B. G., Abul-Ela, A. 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.

9.

Kim, J. M. and Elam, M. E. (2005). A two-stage stratified Warner's randomized response model using optimal allocation, Metrika, 61, 1-7.

10.

Kim, J. M. and Warde, W. D. (2004). A stratified Warner's randomized response model, Journal of Statistical Planning and Inference, 120, 155-165.