Post-stratification based on a choice of a randomization device


  • Sarjinder Singh Texas A&M University - Kingsville
  • Stephen A. Sedory Texas A&M University - Kingsville
  • Housila P. Singh Vikram University, Ujjain
  • Raghunath Arnab University of Botswana
  • Inderjit Singh Grewal Punjab Agricultural University - Ludhiana



Respondents cooperation, post-stratification, sensitive characteristics, protection and efficiency.


In this paper, we use the idea of post-stratification based on the respondents’ choice of a particular randomization device in order to estimate the population proportion of a sensitive characteristic. The proposed idea gives full freedom to the respondents and is expected to result in greater cooperation from them as well as to provide some increase in the relative efficiency of the newly proposed estimator.


A. CHAUDHURI (2011). Randomized response and indirect questioning techniques in surveys. Chapman & Hall, CRC Press, Boca Raton, FL.

A. CHAUDHURI, R. MUKHERJEE (1985). Optionally randomized response technique. Calcutta Statist. Assoc. Bull., 34, pp. 225-229.

B.G. GREENBERG, A.L.A. ABUL-ELA, W.R. SIMMONS, D.G. HORVITZ (1969). The unrelated question randomized response model -- theoretical framework. J. Amer. Statist. Assoc., 64, pp. 520--539.

S. GUPTA, B.C. GUPTA, S.SINGH (2002). Estimation of sensitivity level of personal interview survey questions. J. Statist. Plann. Infer., 100, pp. 209-220.

A.Y.C. KUK (1990). Asking sensitive questions indirectly. Biomerika, 77 no.2, pp. 436-438.

N.S. MANGAT, S. SINGH (1994).Optional randomized response model. J. Indian Stat. Assoc., 32, no. 3, pp.71-75.

S. SINGH, A.H. JOARDER (1997). Optional randomized response technique for a quantitative sensitive character. Metron, no.4, pp.151-157.

S.L. WARNER (1965). Randomized response: a survey technique for eliminating evasive answer bias. J. Amer. Stat. Assoc., 60, pp.63-69.




How to Cite

Singh, S., Sedory, S. A., Singh, H. P., Arnab, R., & Grewal, I. S. (2014). Post-stratification based on a choice of a randomization device. Statistica, 74(2), 173–182.