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684 – Collecting and Analyzing Sensitive Data: Making Lies Naked!
Weighted Squared Distance for Two-Decks Randomized Response Model
Sponsor: Survey Research Methods Section
Keywords: Randomized response technique, two-deck of cards, lower bound of variance, protection of respondents, privacy in survey research
Augustus Jayaraj
Cornell University
Oluseun Odumade
Deloitte Consulting
Stephen Sedory
Texas A&M University at Kingsville
Sarjinder Singh
Texas A&M University at Kingsville
In this paper, we propose a new weighted, squared distance while minimizing the distance between the true proportions and the observed proportions of (Yes, Yes), (Yes, No), (No, Yes), and (No, No) answers in the setup of Odumade and Singh (2009) model. The resultant estimator is shown to be an unbiased estimator of the proportion of the sensitive attribute of interest in a population and has a smaller variance than the estimator of Odumade and Singh (2009) with the same protection of the respondents.