Estimating sensitive proportions by Warner’s randomized response technique using multiple randomized responses from distinct persons sampled

In 1965 Warner pioneered randomized response techniques to estimate the proportion of people bearing a sensitive characteristic. He restricted applying his randomized response device to gather data on sensitive issues from respondents chosen by simple random sampling with replacement (SRSWR). It has...

Full description

Saved in:
Bibliographic Details
Published in:Statistical papers (Berlin, Germany) Germany), 2011-02, Vol.52 (1), p.111-124
Main Authors: Chaudhuri, Arijit, Bose, Mausumi, Dihidar, Kajal
Format: Article
Language:English
Subjects:
Bearing
Devices
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Estimates
Estimating
Estimating techniques
Estimators
Finance
Insurance
Management
Mathematics and Statistics
Operations Research/Decision Theory
Probability Theory and Stochastic Processes
Random sampling
Randomized algorithms
Regular Article
Statistical analysis
Statistics
Statistics for Business
Studies
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In 1965 Warner pioneered randomized response techniques to estimate the proportion of people bearing a sensitive characteristic. He restricted applying his randomized response device to gather data on sensitive issues from respondents chosen by simple random sampling with replacement (SRSWR). It has spawned numerous ramifications. We present results for the situation where the distinct persons chosen in an SRSWR are identified but each one independently gives a randomized response by Warner’s device, repeated as many times as he/she is selected. Two new estimators are proposed for the sensitive proportion and compared against relevant competitors.
ISSN:0932-5026
1613-9798
DOI:10.1007/s00362-009-0210-3