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

Pablo O. Juárez-Moreno (), Agustín Santiago-Moreno, José M. Sautto-Vallejo and Carlos N. Bouza-Herrera
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Pablo O. Juárez-Moreno: Higher School of Sociology, Universidad Autónoma de Guerrero, Acapulco 39310, Mexico
Agustín Santiago-Moreno: Faculty of Mathematics, Universidad Autónoma de Guerrero, Acapulco 39650, Mexico
José M. Sautto-Vallejo: Faculty of Mathematics, Universidad Autónoma de Guerrero, Acapulco 39650, Mexico
Carlos N. Bouza-Herrera: Faculty of MATCOM, Universidad de La Habana, La Habana 11300, Cuba

Mathematics, 2023, vol. 11, issue 11, 1-11

Abstract: 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 R i , 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.

Keywords: randomized response; sensitive variable; simple random sampling; scrambling (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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