Scrambling Reports: New Estimators for Estimating the Population Mean of Sensitive Variables

Warner proposed a methodology called randomized response techniques, which, through the random scrambling of sensitive variables, allows the non-response rate to be reduced and the response bias to be diminished. In this document, we present a randomized response technique using simple random sampli...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-06, Vol.11 (11), p.2572
Main Authors: Juárez-Moreno, Pablo O., Santiago-Moreno, Agustín, Sautto-Vallejo, José M., Bouza-Herrera, Carlos N.
Format: Article
Language:English
Subjects:
Approximation
Confidentiality
Estimators
Food science
Opium trade
Random sampling
Random variables
randomized response
Response bias
Sampling error
scrambling
sensitive variable
simple random sampling
Variables
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Summary:Warner proposed a methodology called randomized response techniques, which, through the random scrambling of sensitive variables, allows the non-response rate to be reduced and the response bias to be diminished. In this document, we present a randomized response technique using simple random sampling. The scrambling of the sensitive variable is performed through the selection of a report Ri, i = 1,2,3. In order to evaluate the accuracy and efficiency of the proposed estimators, a simulation was carried out with two databases, where the sensitive variables are the destruction of poppy crops in Guerrero, Mexico, and the age at first sexual intercourse. The results show that more accurate estimates are obtained with the proposed model.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11112572