Abstract
In this paper, a simple survey technique is applied to estimate the population proportion π of a sensitive trait, in addition to T, the probability that a respondent truthfully states that he or she bears a sensitive character when questioned directly and examined its properties. It has been found that the suggested model is efficient. Numerical illustrations are presented to support the theoretical results.
Similar content being viewed by others
References
Warner SL (1965) Randomized response: a survey technique for eliminating evasive answer bias. J Am Stat Assoc 60:63–69
Greenberg B, Abul-Ela A, Simmons WR, Horvitz DG (1969) The unrelated question randomized response model: theoretical framework. J Am Stat Assoc 64:529–539
Moors JJA (1971) Optimization of the unrelated question randomized response model. J Am Stat Assoc 66(335):627–629
Lanke J (1976) On the degree of protection in randomized interview. Int Stat Rev 44(2):80–83
Fox JA, Tracy PE (1986) Randomized response: a method of sensitive surveys. SAGE, Newbury Park
Mangat NS, Singh R (1990) An alternative randomized procedure. Biometrika 77:439–442
Ryu JB, Hong KH, Lee GS (1993) Randomize response model. Freedom Academy, Seoul
Mangat NS (1994) An improved randomized response strategy. J R Stat Soc B 56(1):93–95
Singh S, Singh R, Mangat NS, Tracy DS (1995) An improved two-stage randomized response strategy. Stat Pap 36:265–271
Mahmood M, Singh S, Horn S (1998) On the confidentiality guaranteed under randomized response sampling: a comparison with several new techniques. Biom J 40:237–242
Singh S, Singh R, Mangat NS (2000) Some alternative strategies to Moor’s model in randomized response model. J Stat Plan Inference 83:243–255
Chang HJ, Huang KC (2001) Estimation of proportion and sensitivity of a qualitative character. Metrika 53:269–280
Huang KC (2004) Survey technique for estimating the proportion and sensitivity in a dichotomous finite population. Stat Neerl 58:75–82
Kim JM, Warde WD (2005) A mixed randomized response model. J Stat Plan Inference 133:211–221
Kim JM, Elam ME (2005) A two-stage stratified Warner’s randomized response model using optimal allocation. Metrika 61:1–7
Ryu JB, Kim JM, Heo TY, Park CG (2005–2006) On stratified randomized response sampling. Model Assist Stat Appl 1:31–36
Hong Z (2005–2006) Estimation of mean in randomized response surveys when answers are incompletely truthful. Model Assist Stat Appl 1:221–230
Perri PF (2008) Modified randomized devices for simmon’s model. Model Assist Stat Appl 3(3):233–239
Singh HP, Tarray TA (2013) A modified survey technique for estimating the proportion and sensitivity in a dichotomous finite population. Int J Adv Sci Tech Res 6(3):459–472
Tracy DS, Osahan SS (1999) An improved randomized response technique. Pak J Stat 15:1–6
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kumar, A., Singh, G.N. & Vishwakarma, G.K. An Efficient Survey Technique for Estimating the Proportion and Sensitivity Attributes in a Dichotomous Finite Population. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 90, 281–287 (2020). https://doi.org/10.1007/s40010-018-0585-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40010-018-0585-4