Journal of Sciences, Islamic Republic of Iran

Modeling Some Repeated Randomized Responses

Document Type : Original Paper

Authors

Department of Statistics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Islamic Republic of Iran

Abstract

Some social surveys address sensitive topics for which respondents do not report reliable responses. Randomized response techniques (RRTs) are employed to increase privacy levels and provide honest answers. However, estimates obtained from this method tend to exhibit increased variances. Repeating randomized responses for each individual increases the sample size, and the mean of observations for each individual reduces the variance of the parameter’s estimator, bringing them closer to reality. In this study, considering continuous additive repeated randomized responses (RRRs), we apply the averaged RR of each individual using the linear regression model for sensitive variable mean. Data on the income of family heads were collected from students, and each respondent was asked to randomize their responses five times. The maximum likelihood estimators of parameters are obtained by two methods. In the first method, the response variable is the first reported observation, and in the second method, we considered the averaged RR for each individual. The results emphasize that the estimators from the second method are closer to reality and have lower variance.

Keywords

Main Subjects

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Journal of Sciences, Islamic Republic of Iran
Volume 35, Issue 3
August 2024
Pages 221-231