Research Article

An Agile Optimal Orthogonal Additive Randomized Response Model

Volume: 2 Number: 1 March 22, 2019
Tanveer A. Tarray *, Housial P. Singh
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Communications in Advanced Mathematical Sciences Cover Communications in Advanced Mathematical Sciences
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An Agile Optimal Orthogonal Additive Randomized Response Model

Abstract

In this paper, a new additive randomized response model has been proposed. The properties of the proposed model have been studied. It has been shown theoretically that the suggested additive model is better than the one envisaged by [1] under very realistic conditions. Numerical illustrations are also given in support of the present study.

Keywords

Randomized response sampling,Estimation of mean,Respondents protection,Sensitive quantitative variable

References

  1. [1] S. Singh, Proposed optimal orthogonal new additive model (POONAM), Statist., LXX(1) (2010), 73–81.
  2. [2] S. L. Warner, Randomized response: A survey technique for eliminating evasive answer bias, J. Amer. Statist. Assoc., 60 (1965), 63-69.
  3. [3] S. K. Bar –Lev, E. Bobovitch, B. Boukai, A note on Randomized response models for quantitative data, Metrika, 60 (2004), 225-250.
  4. [4] J. A. Fox, P. E. Tracy, Randomized Response: A method of Sensitive Surveys, Newbury Park, CA: SEGE Publications 1986.
  5. [5] C. R. Gjestvang, S. Singh, A new randomized response model, J. Roy. Statist. Soc., 68 (2006), 523-530.
  6. [6] C. R. Gjestvang, S. Singh, An improved randomized response model: Estimation of mean, J. Appl. Statist., 36(12) (2009), 1361-1367.
  7. [7] N. S. Mangat, R. Singh, An alternative randomized procedure, Biometrika, 77 (1990), 439-442.
  8. [8] H. P. Singh, N. Mathur, Estimation of population mean when coefficient of variation is known using scrambled response technique, J. Statist. Plann. Infer., 131(1) (2005), 135-144.
  9. [9] H. P. Singh, T. A. Tarray, An alternative to Kim and Warde’s mixed randomized response technique, Statistica, 73(3) (2013), 379-402.
  10. [10] H. P. Singh, T. A. Tarray, An alternative to stratified Kim and Warde’s randomized response model using optimal (Neyman) allocation, Model Assist. Stat. Appl., 9 (2014), 37-62.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Housial P. Singh This is me
India

Publication Date

March 22, 2019

Submission Date

July 12, 2018

Acceptance Date

November 29, 2018

Published in Issue

Year 2019 Volume: 2 Number: 1

DOI

https://doi.org/10.33434/cams.443055

IZ

https://izlik.org/JA56XF95KR

Cite

RIS / Bibtex
APA
Tarray, T. A., & Singh, H. P. (2019). An Agile Optimal Orthogonal Additive Randomized Response Model. Communications in Advanced Mathematical Sciences, 2(1), 48-54. https://doi.org/10.33434/cams.443055
AMA
1.Tarray TA, Singh HP. An Agile Optimal Orthogonal Additive Randomized Response Model. Communications in Advanced Mathematical Sciences. 2019;2(1):48-54. doi:10.33434/cams.443055
Chicago
Tarray, Tanveer A., and Housial P. Singh. 2019. “An Agile Optimal Orthogonal Additive Randomized Response Model”. Communications in Advanced Mathematical Sciences 2 (1): 48-54. https://doi.org/10.33434/cams.443055.
EndNote
Tarray TA, Singh HP (March 1, 2019) An Agile Optimal Orthogonal Additive Randomized Response Model. Communications in Advanced Mathematical Sciences 2 1 48–54.
IEEE
[1]T. A. Tarray and H. P. Singh, “An Agile Optimal Orthogonal Additive Randomized Response Model”, Communications in Advanced Mathematical Sciences, vol. 2, no. 1, pp. 48–54, Mar. 2019, doi: 10.33434/cams.443055.
ISNAD
Tarray, Tanveer A. - Singh, Housial P. “An Agile Optimal Orthogonal Additive Randomized Response Model”. Communications in Advanced Mathematical Sciences 2/1 (March 1, 2019): 48-54. https://doi.org/10.33434/cams.443055.
JAMA
1.Tarray TA, Singh HP. An Agile Optimal Orthogonal Additive Randomized Response Model. Communications in Advanced Mathematical Sciences. 2019;2:48–54.
MLA
Tarray, Tanveer A., and Housial P. Singh. “An Agile Optimal Orthogonal Additive Randomized Response Model”. Communications in Advanced Mathematical Sciences, vol. 2, no. 1, Mar. 2019, pp. 48-54, doi:10.33434/cams.443055.
Vancouver
1.Tanveer A. Tarray, Housial P. Singh. An Agile Optimal Orthogonal Additive Randomized Response Model. Communications in Advanced Mathematical Sciences. 2019 Mar. 1;2(1):48-54. doi:10.33434/cams.443055

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