TY - JOUR
T1 - Some new results on the multinomial randomized response model
AU - Kim, Jong Min
AU - Warde, William D.
PY - 2005
Y1 - 2005
N2 - The randomized response technique is an effective survey method designed to elicit sensitive information while ensuring the privacy of the respondents. In this article, we present some new results on the randomization response model in situations wherein one or two response variables are assumed to follow a multinomial distribution. For a single sensitive question, we use the well-known Hopkins randomization device to derive estimates, both under the assumption of truthful and untruthful responses, and present a technique for making pairwise comparisons. When there are two sensitive questions of interest, we derive a Pearson product moment correlation estimator based on the multinomial model assumption. This estimator may be used to quantify the linear relationship between two variables when multinomial response data are observed according to a randomized-response protocol.
AB - The randomized response technique is an effective survey method designed to elicit sensitive information while ensuring the privacy of the respondents. In this article, we present some new results on the randomization response model in situations wherein one or two response variables are assumed to follow a multinomial distribution. For a single sensitive question, we use the well-known Hopkins randomization device to derive estimates, both under the assumption of truthful and untruthful responses, and present a technique for making pairwise comparisons. When there are two sensitive questions of interest, we derive a Pearson product moment correlation estimator based on the multinomial model assumption. This estimator may be used to quantify the linear relationship between two variables when multinomial response data are observed according to a randomized-response protocol.
KW - Confidentiality
KW - Multinomial distribution
KW - Multiple comparisons
KW - Product-moment correlation
KW - Randomized response design matrix
KW - Sensitive questions
UR - http://www.scopus.com/inward/record.url?scp=19944371188&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=19944371188&partnerID=8YFLogxK
U2 - 10.1081/STA-200054378
DO - 10.1081/STA-200054378
M3 - Article
AN - SCOPUS:19944371188
SN - 0361-0926
VL - 34
SP - 847
EP - 856
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
IS - 4
ER -