An alternative to Kim and Warde’s mixed randomized response technique
DOI:
https://doi.org/10.6092/issn.1973-2201/4331Keywords:
Randomized response technique, Dichotomous population, Estimation of proportion, Privacy of respondents, Sensitive characteristicsAbstract
The paper proposes two mixed randomized response techniques as an alternative to the Kim and Warde’s (2005) randomized response technique. The properties of the models have been studied and found that the proposed mixed randomized response models are better than the Kim and Warde’s (2005) mixed randomized response models in some realistic situations. We extend the proposed model to stratified sampling. Numerical illustration is 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. CHAUDHURI, R. MUKERJEE (1987). Randomized Response technique: A review. “Statistica Neerlandica”, 41, pp. 27-44.
A. CHAURHURI, R. MUKERJEE (1988). Randomized Response: Theory and Techniques. Marcel-Dekker, New York, USA.
A. J. MOORS (1971). Optimization of the unrelated question randomized response model. “Journal of American Statistical Association”, 66, pp.627-629.
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.
B. GREENBERG, A. ABUL-ELA, KUEBLER, R. ROY, ABERNATHY, R. JAMES, G.D.HORVITZ (1971). Applications of the randomized response technique in obtaining quantative data. “Journal of American Statistical Association, 66, pp. 243-250.
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.
G.D. HORVITZ, B.V. SHAH, W.R. SIMMONS (1967). The unrelated question randomized response model. Proc. Soc. Statist. Sec. Amer. Statistical Assoc., 65–72.
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.
H. P. SINGH, T. A. TARRAY (2013). An alternative to Kim and Warde’s mixed randomized response model. “Statistics and Operations Research Transactions”, 37 (2), pp. 189-210.
H. P. SINGH, T. A. TARRAY (2014). An improved mixed randomized response model. “Model Assisted Statistical Applications”, 9, pp. 73-87.
J.A. FOX, P.E. TRACY (1986). Randomized Response: A method of Sensitive Surveys. Newbury Park, CA: SEGE Publications.
J.A. MOORS (1971). Optimization of the unrelated question randomized response model. “Journal of American Statistical Association, 66, pp. 627-629.
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”, interview.
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.
J. LANKE (1976). On the degree of protection in randomized interview Internet. “Statistical Review”, 44, pp.80–83.
K. HONG, J.YUM, 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, R. SINGH, S. SINGH, B. SINGH (1993). On the Moors’ randomized response model. “Biometrical Journal” 35 (6), pp. 727-755.
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 – its rectification 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.
P.D. BOURKE (1982). RR multivariate designs for categorical data. “Communication in Statistics theory and Methods” A(11), pp. 2889–2901.
P.K. MAHAJAN, J.P. GUNTA, R. SINGH (1994). Determination of optimum strata boundaries for scrambled response. “Statistica”, 3, pp. 375-381.
R.E. FOLSOM, G.B. GREENBERG, D.G. HORVITZ (1973). The two alternative questions RR model for human surveys. “Journal of American Statistical Association”, 68, pp. 525-530.
R. SINGH , N.S. MANGAT (1996). Elements of Survey Sampling, Kluwer Academic Publishers, Dordrecht, The Netherlands.
S. SINGH (1993). An alternative to Warner’s randomized response technique. “Statistica”, anno 53(1),pp. 67-71.
S. SINGH (2003). Advanced sampling theory with applications, Kluwer Academic Publishers, Dordrecht.
S. SINGH, S.D. TRACY (1999). Ridge regression using scrambled responses. “Metron”, 57, pp. 47–68.
S. SINGH, R. SINGH (1993). Generalized Franklin’s model for randomized response sampling. “Communication in Statistics Theory and Methods”, 22 (2), pp. 741-755.
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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