Year 2018,
Volume: 47 Issue: 2, 403 - 422, 01.04.2018
Fatima Batool
Kaneez Fatima
Zawar Hussain
References
- Abdelfatah, S., and Mazloum, R. An improved stratied randomized response model using
two decks of cards, Model Assisted Statistics and Applications, 10 (4), 309-320, 2015.
- Al-Menayes, J. Measuring the Spiritual and Behavioral Dimensions of Religiosity in a Mus-
lim Sample, Asian Social Science, 12 (2), 158, 2016.
- Blair, Graeme, Kosuke Imai, and Yang-Yang Zhou. Design and Analysis of the Randomized
Response Technique, Journal of the American Statistical Association, 110 (511), 1304 -
1319, 2015.
- Clark, S. J., and Desharnais, R. A. Honest answers to embarrassing questions: Detecting
cheating in the randomized response model, Psychological Methods, 3 (2), 160, 1998.
- Coutts, E., and Jann, B. Sensitive questions in online surveys: Experimental results for the
randomized response technique (RRT) and the unmatched count technique (UCT), Socio-
logical Methods and Research, 40 (1), 169-193, 2011.
- Greenberg, B. G., Abul-Ela, A. L. A., Simmons, W. R. and Horvitz, D. G. The unrelated
question randomized response model: Theoretical framework, Journal of the American Sta-
tistical Association, 64 (326), 520-539, 1969.
- Holbrook, A. L., and Krosnick, J. A. Measuring Voter Turnout By Using The Randomized
Response Technique Evidence Calling Into Question The Method's Validity Public Opinion
Quarterly, 74 (2), 328-343, 2010.
- Hong, K., Yum, J. and Lee, H. A stratied randomized response technique Korean Journal
of Applied Statistics, 7, 141-147, 1994.
- Jin, Z., Zhu, Z., Yu, B. and Gao, Ge. A Monte Carlo Simulation Investigating the Validity
and Reliability of Two Stage Cluster Sampling Survey with Sensitive Topics Computer
Modelling and New Technologies, 17 (3), 69 - 75, 2013.
- Kim, J. M. and Elam, M. E. A two-stage stratied Warner's randomized response model
using optimal allocation Metrika, 61 (1), 1-7, 2005.
- Kim, J. M. and Elam, M. E. A stratied unrelated question randomized response model
Statistical Papers, 48 (2), 215-233, 2007.
- Kim, J. M. and Warde, W. D. A stratied Warner's randomized response model Journal of
Statistical Planning and Inference, 120 (1), 155-165, 2004.
- Kim, J. M. and Warde, W. D. A mixed randomized response model Journal of Statistical
Planning and Inference, 133 (1), 211-221, 2005.
- Locander, W., Sudman, S., and Bradburn, N. An investigation of interview method, threat
and response distortion Journal of the American Statistical Association, 71 (354), 269-275,
1976.
- Mangat, N. S., Singh, R., and Singh, S. Violation of respondent's privacy in moors' model-
its rectication through a random group strategy Communications in Statistics-Theory and
Methods, 26 (3), 743-754, 1997.
- Moors, J. A. Optimization of the unrelated question randomized response model, Journal of
the American Statistical Association, 66 (335), 627-629, 1971.
- Nazuk, A. and Shabbir, J. A new mixed randomized response model International Journal
of Business and Social Science, 1 (1), 186-190, 2010.
- Phillips, D. L. Knowledge from what?, Chicago: Rand-McNally, 1971.
- Singh, S., Singh, R., and Mangat, N. S. Some alternative strategies to Moors' model in
randomized response sampling, Journal of Statistical Planning and inference, 83 (1), 243-
255, 2000.
- Singh, H. P. and Tarray, T. A. An alternative to Kim and Warde's mixed randomized
response model, SORT-Statistics and Operations Research Transactions, 1 (2), 189-210,
2013.
- Singh, H. P. and Tarray, T. A. An alternative to stratied Kim and Warde's randomized
response model using optimal (Neyman) allocation, Model Assisted Statistics and Applica-
tions, 9 (1), 37-62, 2014.
- Son, C. K., and Kim, J. M. Bayes linear estimator for two-stage and stratied randomized
response models, Model Assisted Statistics and Applications, 10 (4), 321-333, 2015.
- Soudarssanane, M., Naik, B., Sahai, A., and Bazroy, J. Randomised Response Technique-An
Innovative Method To Measure Culturally Sensitive Variables: Results From A Pilot Study,
Indian Journal of Community Medicine, 28 (3), 138, 2003.
- Stem, D. E., and Bozman, C. S. Respondant Anxiety Reduction with Randomized Response
Technique, Advanced in consumer Research, 15, 595-599, 1988.
- Tracy, D. S. and Osahan, S. S. An improved randomized response technique, Pakistan Jour-
nal of Statistics, 15 (1), 1 - 6, 1999.
- Usman, A., and Oshungade, I. O. A Two-way Randomized Response Technique in Strati-
cation for Tracking HIV Seroprevalence, Mathematical Theory and Modeling, 2 (7), 86-97,
2012.
- Warner, S. L. Randomized response: A Survey Technique for Eliminating Evasive Answer
Bias, Journal of the American Statistical Association, 60 (309), 63-69, 1965.
Two mixed randomized response models under simple and stratied random sampling with replacement schemes
Year 2018,
Volume: 47 Issue: 2, 403 - 422, 01.04.2018
Fatima Batool
Kaneez Fatima
Zawar Hussain
Abstract
We have proposed two mixed randomized response models for surveying sensitive issues. The properties of proposed estimators are derived under the simple and stratified random sampling schemes while considering completely and less than completely truthful reporting cases. We proved that the proposed models are unconditionally efficient than [13, 15, 16, 20]. In order to get the idea of gain in efficiency and model stability numerical and graphical efficiency comparisons are done for the two models under two mentioned cases.
References
- Abdelfatah, S., and Mazloum, R. An improved stratied randomized response model using
two decks of cards, Model Assisted Statistics and Applications, 10 (4), 309-320, 2015.
- Al-Menayes, J. Measuring the Spiritual and Behavioral Dimensions of Religiosity in a Mus-
lim Sample, Asian Social Science, 12 (2), 158, 2016.
- Blair, Graeme, Kosuke Imai, and Yang-Yang Zhou. Design and Analysis of the Randomized
Response Technique, Journal of the American Statistical Association, 110 (511), 1304 -
1319, 2015.
- Clark, S. J., and Desharnais, R. A. Honest answers to embarrassing questions: Detecting
cheating in the randomized response model, Psychological Methods, 3 (2), 160, 1998.
- Coutts, E., and Jann, B. Sensitive questions in online surveys: Experimental results for the
randomized response technique (RRT) and the unmatched count technique (UCT), Socio-
logical Methods and Research, 40 (1), 169-193, 2011.
- Greenberg, B. G., Abul-Ela, A. L. A., Simmons, W. R. and Horvitz, D. G. The unrelated
question randomized response model: Theoretical framework, Journal of the American Sta-
tistical Association, 64 (326), 520-539, 1969.
- Holbrook, A. L., and Krosnick, J. A. Measuring Voter Turnout By Using The Randomized
Response Technique Evidence Calling Into Question The Method's Validity Public Opinion
Quarterly, 74 (2), 328-343, 2010.
- Hong, K., Yum, J. and Lee, H. A stratied randomized response technique Korean Journal
of Applied Statistics, 7, 141-147, 1994.
- Jin, Z., Zhu, Z., Yu, B. and Gao, Ge. A Monte Carlo Simulation Investigating the Validity
and Reliability of Two Stage Cluster Sampling Survey with Sensitive Topics Computer
Modelling and New Technologies, 17 (3), 69 - 75, 2013.
- Kim, J. M. and Elam, M. E. A two-stage stratied Warner's randomized response model
using optimal allocation Metrika, 61 (1), 1-7, 2005.
- Kim, J. M. and Elam, M. E. A stratied unrelated question randomized response model
Statistical Papers, 48 (2), 215-233, 2007.
- Kim, J. M. and Warde, W. D. A stratied Warner's randomized response model Journal of
Statistical Planning and Inference, 120 (1), 155-165, 2004.
- Kim, J. M. and Warde, W. D. A mixed randomized response model Journal of Statistical
Planning and Inference, 133 (1), 211-221, 2005.
- Locander, W., Sudman, S., and Bradburn, N. An investigation of interview method, threat
and response distortion Journal of the American Statistical Association, 71 (354), 269-275,
1976.
- Mangat, N. S., Singh, R., and Singh, S. Violation of respondent's privacy in moors' model-
its rectication through a random group strategy Communications in Statistics-Theory and
Methods, 26 (3), 743-754, 1997.
- Moors, J. A. Optimization of the unrelated question randomized response model, Journal of
the American Statistical Association, 66 (335), 627-629, 1971.
- Nazuk, A. and Shabbir, J. A new mixed randomized response model International Journal
of Business and Social Science, 1 (1), 186-190, 2010.
- Phillips, D. L. Knowledge from what?, Chicago: Rand-McNally, 1971.
- Singh, S., Singh, R., and Mangat, N. S. Some alternative strategies to Moors' model in
randomized response sampling, Journal of Statistical Planning and inference, 83 (1), 243-
255, 2000.
- Singh, H. P. and Tarray, T. A. An alternative to Kim and Warde's mixed randomized
response model, SORT-Statistics and Operations Research Transactions, 1 (2), 189-210,
2013.
- Singh, H. P. and Tarray, T. A. An alternative to stratied Kim and Warde's randomized
response model using optimal (Neyman) allocation, Model Assisted Statistics and Applica-
tions, 9 (1), 37-62, 2014.
- Son, C. K., and Kim, J. M. Bayes linear estimator for two-stage and stratied randomized
response models, Model Assisted Statistics and Applications, 10 (4), 321-333, 2015.
- Soudarssanane, M., Naik, B., Sahai, A., and Bazroy, J. Randomised Response Technique-An
Innovative Method To Measure Culturally Sensitive Variables: Results From A Pilot Study,
Indian Journal of Community Medicine, 28 (3), 138, 2003.
- Stem, D. E., and Bozman, C. S. Respondant Anxiety Reduction with Randomized Response
Technique, Advanced in consumer Research, 15, 595-599, 1988.
- Tracy, D. S. and Osahan, S. S. An improved randomized response technique, Pakistan Jour-
nal of Statistics, 15 (1), 1 - 6, 1999.
- Usman, A., and Oshungade, I. O. A Two-way Randomized Response Technique in Strati-
cation for Tracking HIV Seroprevalence, Mathematical Theory and Modeling, 2 (7), 86-97,
2012.
- Warner, S. L. Randomized response: A Survey Technique for Eliminating Evasive Answer
Bias, Journal of the American Statistical Association, 60 (309), 63-69, 1965.