- Autor
- Adediran Adetola Adedamola (Federal University of Technology Akure, Nigeria), Adebola Femi Barnabas (Federal University of Technology Akure, Nigeria), Ewemooje Olusegun Sunday (Federal University of Technology Akure, Nigeria)
- Tytuł
- Unbiased Estimator Modeling in Unrelated Dichotomous Randomized Response
- Źródło
- Statistics in Transition, 2020, vol. 21, nr 5, s. 119-132, tab., bibliogr. s. 131-132
- Słowa kluczowe
- Randomizacja, Estymatory
Randomization, Estimators - Uwagi
- summ.
- Abstrakt
- The unrelated design has been shown to improve the efficiency of a randomized response method and reduces respondents' suspicion. In the light of this, the paper proposes a new Unrelated Randomized Response Model constructed by incorporating an unrelated question into the alternative unbiased estimator in the dichotomous randomized response model proposed by Ewemooje in 2019. An unbiased estimate and variance of the model are thus obtained. The variance of the proposed model decreases as the proportion of the sensitive attribute π_A and the unrelated attribute π_U increases, in contrast to the earlier Ewemooje model, whose variance increases as the proportion of the sensitive attribute increases. The relative efficiency of the proposed model over the earlier Ewemooje model decreases as π_U increases when 0.1≤π_A≤ 0.3 and increases as π_U increases when 0.35≤π_A≤ 0.45. Application of the proposed model also revealed its efficiency over the direct method in estimating the prevalence of examination malpractices among university students; the direct method gave an estimate of 19.0%, compared to the proposed method's estimate of 23.0%. Hence, the proposed model is more efficient than the direct method and the earlier Ewemooje model as the proportion of people belonging to the sensitive attribute increases. (original abstract)
- Dostępne w
- Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach - Pełny tekst
- Pokaż
- Bibliografia
- ADEBOLA, F. B., ADEPETUN, A. O., (2011). A new Tripartite Randomized Response Technique. Journal of the Nigerian Association of Mathematical Physics, 19, pp. 119-122.
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- EWEMOOJE, O. S., (2017). Estimating two sensitive characters with equal probabilities of protection, Cogent Mathematics, 4, pp. 1-14.
- EWEMOOJE, O. S., ADEBOLA, F. B., AMAHIA, G. N., (2019a). Alternative Unbiased Estimator in Dichotomous Randomized Response Technique, Communication in Mathematics and Statistics, 7(4), pp. 383-400; https://doi.org/10.1007/s40304-018- 0145-x.
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- Cytowane przez
- ISSN
- 1234-7655
- Język
- eng
- URI / DOI
- http://dx.doi.org/10.21307/stattrans-2020-058