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A stratified unrelated question randomized response model
Authors:Jong-Min Kim  Matthew E. Elam
Affiliation:(1) Division of Science and Mathematics, University of Minnesota, 56267 Morris, MN, USA;(2) Department of Industrial Engineering, The University of Alabama, 35487 Tuscaloosa, AL, USA
Abstract:This paper presents a new randomized response model that combines Kim and Warde's (2004) stratified Warner's randomized response technique using optimal allocation with the unrelated question randomized response model. The empirical studies performed show that, for the prior information given, the new model is more efficient in terms of variance (in the case of completely truthful reporting) and mean square error (in the case of less than completely truthful reporting) than its component models.
Keywords:Randomized response  Stratified random sampling  Sensitive characteristics  Dichotomous population  Estimation of proportion
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