A stratified Mangat and Singh’s optional randomized response model using proportional and optimal allocation
DOI:
https://doi.org/10.6092/issn.1973-2201/4598Keywords:
Randomized response technique, Stratified random sampling, Simple random sampling with replacement, Estimation of proportion, Mean square errorAbstract
This paper suggests a stratified optional randomized response model based on Mangat and Singh (1994) model that has proportional and optimal allocation and larger gain in efficiency. Numerically it is found that the suggested model is more efficient than Kim and Warde (2004) stratified randomized response model and Mangat and Singh (1994) model. Graphical representations are also given in support of the present study.References
A. CHAURHURI, R. MUKERJEE (1985), Optionally randomized response techniques. “Calcutta Statistical Association Bulletin, 34, pp.225 – 229.
A. CHAURHURI, R. MUKERJEE (1988). Randomized Response: Theory and Techniques. Marcel-Dekker, New York, USA.
A. NAZUK, J. SHABIR (2010). A new mixed randomized response model. “International Journal of Business Social Sciences”, 1 No. 1.
A.S. HEDAYAY, B.K. SINGHA (1991). Design and Inference in Finite Population Sampling. New York, Wiley.
B. GREENBERG, A. ABUL-ELA, W.R. SIMMONS, D.G. HORVITZ (1969). The unreleased question randomized response: Theoretical framework. “Journal of American Statistical Association, 64, pp. 529-539.
D. S. TRACY, N.S. MANGAT (1995). A partial randomized response strategy. “Test”, 4 (2), pp. 315–321.
D.S. TRACY, N.S. MANGAT (1996). Some developments in randomized response sampling during the last decade – A follow up of review by Chaudhuri and Mukherjee. “Journal of Applied Statistical Sciences, 4 (2/3), pp.147–158.
D.S. TRACY, S.S. OSAHAN (1999). An improved randomized response technique. “Pakistan Journal of Statistics, 15, (1), pp.1–6.
G.S. LEE, D. UHM, J.M. KIM (2011). Estimation of a rare sensitive attribute in a stratified sample using Poisson distribution. “Statistics, iFirst”, pp. 1-15.
H.J. CHANG, C.L. WANG, K.C. HUANG (2004 a). On estimating the proportion of a qualitative sensitive character using randomized response sampling. “Quality and Quantity”, 38, pp. 675-680.
H.J. CHANG, C.L. WANG, K.C. HUANG (2004 b). Using randomized response to estimate the proportion and truthful reporting probability in a dichotomous finite population. “Journal of Applied Statistics”, 31, pp. 565-573.
H.J. CHANG, K.C. HUANG (2001). Estimation of proportion and sensitivity of a qualitative character. “Metrika”, 53, pp. 269-280.
H.P. SINGH, T. A. TARRAY (2012). A stratified unknown repeated trials in randomized response sampling. “Communication of the Korean Statistical Society, 19(6), pp. 751-759.
J.A. FOX, P.E. TRACY (1986). Randomized Response: A method of Sensitive Surveys. Newbury Park, CA. SEGE Publications.
J.B. RYU, K.H. HONG, G.S. LEE (1993). Randomized response model,Freedom Academy, Seoul, Korea.
J.M. KIM, M.E. ELAM (2003). A stratified unrelated question randomized response model, “Journal of Statistical Planning and Inference”, inreview.
J.M. KIM, M.E. ELAM (2005). A two–stage stratified Warner’s randomized response model using optimal allocation, “Metrika”, 61, pp. 1-7.
J.M. KIM, M.E. ELAM (2007). A stratified unrelated randomized response model, “Statistical Papers”, 48, pp. 215-233.
J.M. KIM, J.M. TEBBS, S.W. AN (2006). Extensions of Mangat’s randomized response model. “Journal of Statistical Planning and Inference”, 136, pp.1554-1567.
J.M. KIM, W.D. WARDE (2005). A mixed randomized response model. “Journal of Statistical Planning and Inference”, 133, pp. 211-221.
J.M. KIM, W.D. WARDE (2004). A stratified Warner randomized response model. “Journal of Statistical Planning and Inference”, 120, pp. 155-165.
K. HONG, J.YUM AND H. LEE (1994). A stratified randomized response technique, “Korean Journal of Applied Statistics”, 7,pp. 141-147.
M. LAND, S. SINGH, S.A. SEDORY (2011). Estimation of a rare attribute using Poisson distribution. “Statistics, iFirst”, pp.1-10.
M. MOHAMMOD, S. SINGH, S. HORN (1998). On the confidentiality guaranteed under randomized response sampling: a comparision with several new techniques. “Biometrical Journal”, 40:2, pp. 237–242.
N.S. MANGAT (1994). An improved randomized response strategy. “Journal of Royal Statistical Society, B, 56 (1), pp. 93-95.
N.S. MANGAT, S. SINGH (1994). An optional randomized response sampling techniques, “Journal of Indian Statistical Association, 32, pp. 71–75
N.S. MANGAT, R. SINGH, S. SINGH (1997). Violation of respondents privacy in Moor’s – itsrectification through a random group strategy. “Communication in Statistics theory and Methods, 26:3, pp. 743–754.
N.S. MANGAT, R. SINGH (1990). An alternative randomized procedure.”Biometrika”, 77, pp. 439-442.
R. SINGH, N.S. MANGAT (1996). Elements of Survey Sampling, Kluwer Academic Publishers, Dordrecht, The Netherlands.
S. GUPTA, J. SHABIR, R. LEMBO (2006). Modification to Warner’s model using blank cards, “American Journal of Mathematical Management Sciences”, 26, pp. 185-196.
S. SINGH (2003). Advanced sampling theory with applications, Kluwer Academic Publishers, Dordrecht.
S. SINGH, R. SINGH, N.S. MANGAT (2000). Some alternative strategies to Moor’s model in randomized response sampling. “Journal of Statistical Planning and Inference”, 83, pp. 243–255.
S. SINGH, R. SINGH, N.S. MANGAT, D.S. TRACY (1995). An improved two–stage randomized response strategy. “Statistical Papers”, 36, pp. 265-271.
S.L. WARNER (1965). Randomized response: A survey technique for eliminating evasive answer bias. “Journal of American Statistical Association, 60, pp. 63-69.
W.G. COCHRAN (1977). Sampling Technique. 3rd Edition, New York:John Wiley and Sons, USA.
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