TY - JOUR
T1 - A stratified Warner's randomized response model
AU - Kim, Jong Min
AU - Warde, William D.
N1 - Copyright:
Copyright 2004 Elsevier B.V., All rights reserved.
PY - 2004/2/15
Y1 - 2004/2/15
N2 - This paper proposes a new stratified randomized response model based on Warner's (J. Amer. Statist. Assoc. 60 (1965) 63) model that has an optimal allocation and large gain in precision. It also presents a drawback of the Hong et al. (Korean J. Appl. Statist. 7 (1994) 141) model under their proportional sampling assumption. It is shown that the proposed model is more efficient than the Hong et al. (Korean J. Appl. Statist. 7 (1994) 141) stratified randomized response model. Additionally, it is shown that the estimator based on the proposed method is more efficient than the Warner (J. Amer. Statist. Assoc. 60 (1965) 63), the Mangat and Singh (Biometrika 77 (1990) 439) and the Mangat (J. Roy. Statist. SQC. Ser. B 56 (1) (1994) 93) estimators under the conditions presented in both the case of completely truthful reporting and that of not completely truthful reporting by the respondents.
AB - This paper proposes a new stratified randomized response model based on Warner's (J. Amer. Statist. Assoc. 60 (1965) 63) model that has an optimal allocation and large gain in precision. It also presents a drawback of the Hong et al. (Korean J. Appl. Statist. 7 (1994) 141) model under their proportional sampling assumption. It is shown that the proposed model is more efficient than the Hong et al. (Korean J. Appl. Statist. 7 (1994) 141) stratified randomized response model. Additionally, it is shown that the estimator based on the proposed method is more efficient than the Warner (J. Amer. Statist. Assoc. 60 (1965) 63), the Mangat and Singh (Biometrika 77 (1990) 439) and the Mangat (J. Roy. Statist. SQC. Ser. B 56 (1) (1994) 93) estimators under the conditions presented in both the case of completely truthful reporting and that of not completely truthful reporting by the respondents.
KW - Dichotomous population
KW - Estimation of proportion
KW - Randomized response technique
KW - Sensitive characteristics
KW - Stratified random sampling
UR - http://www.scopus.com/inward/record.url?scp=0345448384&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0345448384&partnerID=8YFLogxK
U2 - 10.1016/S0378-3758(02)00500-1
DO - 10.1016/S0378-3758(02)00500-1
M3 - Article
AN - SCOPUS:0345448384
SN - 0378-3758
VL - 120
SP - 155
EP - 165
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
IS - 1-2
ER -