Randomized Response Sampling with Applications to Tracking Drugs for Better Life

Su, Shu-Ching; Salinas, Veronica I.; Zamora, Monique L.; Sedory, Stephen A.; Singh, Sarjinder

doi:10.5705/ss.202016.0177

Cited by 2 publications

(3 citation statements)

References 14 publications

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“…(2020), and Su et al. (2021), we also consider the squared distance between the true proportions and the observed proportions as:

D = \frac{1}{2} \sum_{i = 0}^{1} \sum_{j = 0}^{1} {(θ_{i j} - {\overset{θ}{true}}_{i j})}^{2}

or equivalently

\begin{matrix} true \\ right \begin{matrix} D & = \frac{1}{2} {[θ_{11} - {\overset{θ}{true}}_{11}]}^{2} + \frac{1}{2} {[θ_{10} - {\overset{θ}{true}}_{10}]}^{2} + \frac{1}{2} {[θ_{01} - {\overset{θ}{true}}_{01}]}^{2} + \frac{1}{2} {[θ_{00} - {\overset{θ}{true}}_{00}]}^{2} \\ = \frac{1}{2} {[P π_{A B} + false(1 - P false) π_{y_{1} y_{2}} - {\overset{θ}{true}}_{11}]}^{2} \\ + \frac{1}{2} {[P false(π_{A} - π_{A B} false) + false(1 - P false) false(π_{y_{1}} - π_{y_{1} y_{2}} false) - {\overset{θ}{true}}_{10}]}^{2} \\ + \frac{1}{2} [P false(π_{B} - π_{A B} false) + false(1 - P false) false(π_{y_{2}} - π_{y_{1} y_{2}} false) - \overset{θ}{true} \end{matrix} \end{matrix}

…”

Section: Unbiased Estimator Of Proportions and Variancementioning

confidence: 94%

“…For estimating the unknown population proportions 𝜋 𝐴𝐵 , 𝜋 𝐴 , and 𝜋 𝐵 , let θ11 = , and θ00 = 𝑛 00 𝑛 be the observed proportions of "(Yes, Yes)," "(Yes, No)," "(No, Yes)," and "(No, No)" responses. Following Odumade and Singh (2009), Singh andSedory (2011, 2012), Lee et al (2013), Sedory et al (2020), andSu et al (2021), we also consider the squared distance between the true proportions and the observed proportions as: 11) or equivalently…”

Section: Unbiased Estimator Of Proportions and Variancementioning

confidence: 99%

“…In other words, a judicious choice of an unrelated question 𝑌 in a population could lead to a more efficient estimator of the population proportion. Relevant literature on this topic can be had from Fox (2015) and Singh (2020), and a very recent problem of estimating the proportion of a single sensitive variable by making use of unrelated question can also be had from Sedory et al (2020) and Su et al (2021).…”

Section: Introductionmentioning

confidence: 99%

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