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Tarhani, Mahtab, Zadkarami, Mohammad Reza, Alavi, Sayad Mohammad Reza. (1403). Modeling Some Repeated Randomized Responses. , 35(3), 221-231. doi: 10.22059/jsciences.2025.382724.1007885
Mahtab Tarhani; Mohammad Reza Zadkarami; Sayad Mohammad Reza Alavi. "Modeling Some Repeated Randomized Responses". , 35, 3, 1403, 221-231. doi: 10.22059/jsciences.2025.382724.1007885
Tarhani, Mahtab, Zadkarami, Mohammad Reza, Alavi, Sayad Mohammad Reza. (1403). 'Modeling Some Repeated Randomized Responses', , 35(3), pp. 221-231. doi: 10.22059/jsciences.2025.382724.1007885
Tarhani, Mahtab, Zadkarami, Mohammad Reza, Alavi, Sayad Mohammad Reza. Modeling Some Repeated Randomized Responses. , 1403; 35(3): 221-231. doi: 10.22059/jsciences.2025.382724.1007885

Modeling Some Repeated Randomized Responses

Journal of Sciences, Islamic Republic of Iran
دوره 35، شماره 3، آبان 2024، صفحه 221-231    اصل مقاله (391.97 K)
نوع مقاله: Original Paper
شناسه دیجیتال (DOI): 10.22059/jsciences.2025.382724.1007885
نویسندگان
Mahtab Tarhani؛ Mohammad Reza Zadkarami* ؛ Sayad Mohammad Reza Alavi
Department of Statistics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Islamic Republic of Iran
چکیده
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.
کلیدواژه‌ها
Randomized Response؛ Repeated Randomized Response؛ Linear Regression Model؛ Continuous Sensitive Variable؛ Repeated Individual Observations
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