An alternative randomized response model using two deck of cards: a rejoinder
The Randomized response (RR) technique with two decks of cards proposed by Odumade and Singh (2009) can always be made more efficient than the RR techniques proposed by Warner (1965), Mangat and Singh (1990), and Mangat (1994) by adjusting the proportion of cards in the decks. Abdelfatah et al. (2011) modified Odumade and Singh (2009) RR technique and claimed that their method can be more efficient than the Warner (1965) model. In this paper it is shown that such claim is not valid and the RR technique proposed by Abdelfatah et al. (2011) is in fact less efficient than the Warner (1965) technique at equal protection of respondents. Such finding are recently shown by Giordano and Perri (2011).
S. ABDELFATAH, R. MAZLOUM, S. SINGH (2011). An alternative randomized response model using two decks of card. Statistica, LXXI (3), 381-390.
R. ARNAB (2004). Optional randomized response techniques for complex survey designs. “Biometrical Journal”, 46, pp. 114-124.
R. ARNAB, S. SINGH, D. NORTH (2012), Use of two decks of cards in randomized response techniques for complex survey designs. Communications in Statistics-Theory and Methods, 41:16-17, 3198-3210.
M. BHARGAVA, R. SINGH (2000). A modified randomization device for Warner's model. Statistica, 60(2), 315–321.
L.A. FRANKLIN (1989). A comparison of estimators for randomized response sampling with continuous distribution from dichotomous Populations. Communications in Statistics, Theory- Methods, 18, pp. 489-505.
S. GIORDANO, P.F. PERRI (2012). Efficiency comparison of unrelated question models based on same privacy protection degree. Statistical Papers, 53, pp. 987–999.
C.R. GJESTVANG, S. SINGH (2006). A new randomized response model. Journal of the Royal Statistical Society, B, 68, pp. 523-530.
B.D. GREENBERG, A.L.A. ABUL-ELA, W.R. SIMMONS, D.G. HORVITZ (1969). The unrelated question randomized response model. Theoretical framework. Journal of American Statistical Association, 64, pp. 520-539.
D.G. HORVITZ , B.V. SHAH, W.R. SIMMONS (1967). The unrelated question randomized response model. Proceedings of Social Statistical section, American Statistical Association, pp. 65-72.
ZHIMIN, HONG (2005/06). Estimation of mean in randomized response surveys when answers are incompletely truthful. Model Assist. Stat. Appl. 1(4), pp. 221-230.
M. JAVED, I.S. GREWAL (2005/06). On the relative efficiencies of randomized response devices with Greenberg unrelated question model. Model Assist. Stat. Appl. 1(4), pp. 291-297.
J. KERKVLIET (1994). Estimating a logit model with randomized data: the case of cocaine use. Australian & Newzealand Journal of Statistics, pp. 36, 9-20.
J.I. KIM (1978). Randomized response technique for surveying human populations. Ph.D. Dissertation, Temple University, Philadelphia, USA.
A.Y.C. KUK (1990). Asking sensitive question indirectly. Biometrika 77, pp. 436-438.
P.K. MAHAJAN, J.P. GUPTA, R. SINGH (1994). Determination of optimum strata boundaries for scrambled randomized response. Statistica, 54(3), pp. 375–381
N.S. MANGAT, R. SINGH (1990). An alternative randomized response procedure. Biometrika 77, pp. 349-442.
N.S. MANGAT (1994). An improved Randomized response strategy. Journal of the Royal Statistical Society, B, 56, pp.93-95.
N. S. MANGAT (1991). An optional randomized response sampling technique using nonstigmatized attribute. Statistica, 51(4), pp. 595-602.
N. MANGAT, RAVINDRA SINGH (1992). An alternative approach to randomized response survey. Statistica, 51(3), pp. 327-332.
O. ODUMADE, S. SINGH (2009). Efficient use of two decks of cards in randomized response sampling. Commun. Statist.-Theory Meth., 38: pp. 439–446.
SANGHAMITRA PAL, S. CHAKRABORTY (2005/06). Improvement upon Warner's model with an optional randomized response technique. Model Assist. Stat. Appl, 1(4), pp. 299–304.
M. RUIZ ESPEJO, H.P. SINGH (2004). Protection of privacy with objective prior distribution in randomized response. Statistica, 63(4), pp. 697–701.
S.S. SIDHU, M.L. BANSAL (2008). Estimator of population total using RAO, Hartley and Cochran's scheme using optional randomized response technique in multi-character surveys. Model Assist. Stat. Appl, 3(3), pp. 259-267.
D. RAGHAVRAO (1978). On estimation problem in Warner’s randomized response Techniques. Biometrics 34, pp. 87-90.
H.P. SINGH, N. MATHUR (2002). On Mangat's improved randomized response strategy. Statistica, 62(3), pp. 397–403.
JEA-BOK RYU, JONG-MIN KIM, TAE-YOUNG HEO, CHUN GUN PARK (2005/06). On stratified randomized response sampling. Model Assist. Stat. Appl. 1(4), pp. 31-36.
H.P. SINGH, N. MATHUR (2005), Improved estimation of population proportion possessing sensitive attribute with unknown repeated trials in randomized response sampling. Statistica, 64(3), pp. 537-544.
SUKHMINDER, SINGH (1993), An alternative to Warner's randomized response technique. Statistica, 53(1), pp. 67-71.
S SINGH (2010), Proposed optimal orthogonal new additive model. Statistica, 70(1), pp. 73-81.
S. SINGH, R. SINGH, N.S. MANGAT, D.S. TRACY (1994), “ An alternative device for randomized responses.” Statistica, 54(2), 233-243.
S. SINGH, N.S. MANGAT (2000), Some alternative strategies to Moor’s model in randomize response sampling. Journal of Statistical Planning and Inference, 83, pp. 243-255.
S.L.WARNER (1965), Randomize response: a survey technique for eliminating evasive answer bias. Journal of American Statistical Association,60, pp. 63-69.
Y. ZAIZAI (2005/06). Ratio method of estimation of population proportion using randomized response technique. Model Assist. Stat. Appl., 1(2), pp. 125-130.
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