Scrambling Reports: New Estimators for Estimating the Population Mean of Sensitive Variables
Abstract
:1. Introduction
2. Materials and Methods
Proposed RR Scrambling Procedure Using SRSWR
- (i)
- , which is an estimator of the population mean of Y.
- (ii)
- , which is the variance of the estimator.
- (iii)
- .
- (iv)
- is an estimator of the variance, where , and .
3. Results
3.1. Simulation with Data of Illicit Crops in Guerrero, Mexico
3.2. Simulation with Data about First Sexual Intercourse
3.3. Graphical Simulation
4. Discussion
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Z* | Z | |||
---|---|---|---|---|
g = 0.7 | g = 0.3 | g = 0.7 | g = 0.3 | |
57.53 | 157.9 | 33.23 | 32.85 | |
= | 6.73% | 3.35% | 185.5% | 129% |
ACP = | 1% | 0% | 100% | 100% |
AL = | 15.33 | 20.77 | 241.8 | 181.54 |
15.64 | 28.55 | 3881 | 2216.5 | |
0.639 | 3.489 | 0.097 | 0.109 |
g = 0.7 | g = 0.3 | |
---|---|---|
6.587 | 32.009 | |
0.004 | 0.01 |
Z* | Z | |||
---|---|---|---|---|
g = 0.7 | g = 0.3 | g = 0.7 | g = 0.3 | |
29.03 | 77.34 | 17.56 | 17.77 | |
= | 0.88% | 1.09% | 26.89% | 29.85% |
ACP = | 0% | 0% | 100% | 100% |
AL = | 1.005 | 3.331 | 18.51 | 20.79 |
0.065 | 0.722 | 22.32 | 28.15 | |
0.601 | 3.268 | 0.0311 | 0.0195 |
g = 0.7 | g = 0.3 | |
---|---|---|
19.324 | 167.589 | |
0.0029 | 0.0025 |
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Juárez-Moreno, P.O.; Santiago-Moreno, A.; Sautto-Vallejo, J.M.; Bouza-Herrera, C.N. Scrambling Reports: New Estimators for Estimating the Population Mean of Sensitive Variables. Mathematics 2023, 11, 2572. https://doi.org/10.3390/math11112572
Juárez-Moreno PO, Santiago-Moreno A, Sautto-Vallejo JM, Bouza-Herrera CN. Scrambling Reports: New Estimators for Estimating the Population Mean of Sensitive Variables. Mathematics. 2023; 11(11):2572. https://doi.org/10.3390/math11112572
Chicago/Turabian StyleJuárez-Moreno, Pablo O., Agustín Santiago-Moreno, José M. Sautto-Vallejo, and Carlos N. Bouza-Herrera. 2023. "Scrambling Reports: New Estimators for Estimating the Population Mean of Sensitive Variables" Mathematics 11, no. 11: 2572. https://doi.org/10.3390/math11112572