Olusegun S EWEMOOJE

An Alternative Estimator for Unrelated Questions in Tripartite Randomized Response Technique

This paper proposes an alternative randomized response technique by improving existing works on tripartite randomized response technique (TRRT) using unrelated questions. To improve the technique, this work studies TRRT under sampling with unequal probabilities with or without replacement. The study of percentage relative efficiency shows that the proposed estimator is far better than the Hybrid Tripartite Randomized Response Technique with increase in the sensitive character and that of the unrelated character. In addition, conducting survey using both the proposed technique and direct (traditional) technique shows that the proposed technique is more efficiency than the direct technique of data collection.

PDF

___

[1] Warner, S.L., “Randomized response: a survey technique for eliminating evasive answer bias”, Journal of the American Statistical Association, 60: 63-69, (1965). [2] Mangat, N.S., and Singh, R., “An alternative randomized response procedure”, Biometrika, 77: 439442, (1990). [3] Kim, J-M., and Warde, W.D., “A stratified Warner's randomized response model”, Journal of Statistical Planning and Inference, 120 (1-2): 155-165, (2004). [4] Adebola F.B., Ewemooje O.S., and Ayeni O.C., “Efficiency of Alternative Estimators in Randomized Response Technique”, Proceeding of 5Th Annual Conference of School of Sciences, SOS 2017, 346356, (2017). [5] Ewemooje, O.S., and Amahia, G.N., “Improved Randomized Response Technique for Two Sensitive Characters”, Afrika Statistika, 10 (2): 839-852, (2015).
[6] Ewemooje, O.S., and Amahia, G.N., “Improving the Efficiency of Randomized Response Technique for Two Sensitive Characters”, FUTA Journal of Research in Sciences, 12(1): 65-72, (2016). [7] Singh, H.P., and Gorey, S.M., “An efficient stratified randomized response model”, Journal of Statistical Theory and Practice, 11(4): 790-809, (2017). [8] Ewemooje, O.S., “Estimating two sensitive characters with equal probabilities of protection”, Cogent Mathematics, 4: 1-14, (2017). [9] Ewemooje, O.S., Amahia, G.N., and Adebola, F.B., “Estimating prevalence of induced abortion and multiple sexual partners using improved randomized response technique for two sensitive characters”, Communications in Statistics: Case Studies, Data Analysis and Applications, 3(1-2): 21-28, (2017). [10] Ewemooje, O.S., Adebola, F.B., and Adediran, A.A, “A Stratified Hybrid Tripartite Randomized Response Technique”, Gazi University Journal of Sciences, 31(4): 1246-1266, (2018). [11] Adebola, F.B., Adediran, A.A., and Ewemooje, O.S., “Hybrid tripartite randomized response technique”, Communications in Statistics-Theory and Methods, 46(23): 11756-11763, (2017). [12] Ewemooje, O.S., Adebola, F.B., and Amahia, G.N., “Alternative Estimator in Dichotomous Randomized Response Technique”, Communications in Mathematics and Statistics, DOI: 10.1007/s40304-018-0145-x, (2018). [13] Chaudhuri A., and Christofides T.C., “Indirect Questioning in Sample Surveys”, Spinger-Verlag Berlin Heidelberg, New York, DOI: 10.1007/978-3-642-36276-7, (2013). [14] Chaudhuri A., “Randomized Response and Indirect Questioning Techniques in Surveys”, Chapman & Hall/CRC, Taylor and Francis Group LLC, (2011).