Publication: Minimum mse weights of adjusted summary estimator of risk difference in multi-center studies
Issued Date
2012
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eng
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Mahidol university
Bibliographic Citation
Open Journal of Statistics. Vol.2, (2012), 48-59
Suggested Citation
Chukiat Viwatwongkasem, Jirawan Jitthavech, Dankmar Böhning, Vichit Lorchirachoonkul, ชูเกียรติ วิวัฒน์วงศ์เกษม Minimum mse weights of adjusted summary estimator of risk difference in multi-center studies. Open Journal of Statistics. Vol.2, (2012), 48-59. doi:10.4236/ojs.2012.21006 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/2568
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Title
Minimum mse weights of adjusted summary estimator of risk difference in multi-center studies
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Abstract
The simple adjusted estimator of risk difference in each center is easy constructed by adding a value c on the number of
successes and on the number of failures in each arm of the proportion estimator. Assessing a treatment effect in
multi-center studies, we propose minimum MSE (mean square error) weights of an adjusted summary estimate of risk
difference under the assumption of a constant of common risk difference over all centers. To evaluate the performance
of the proposed weights, we compare not only in terms of estimation based on bias, variance, and MSE with two other
conventional weights, such as the Cochran-Mantel-Haenszel weights and the inverse variance (weighted least square)
weights, but also we compare the potential tests based on the type I error probability and the power of test in a variety
of situations. The results illustrate that the proposed weights in terms of point estimation and hypothesis testing perform
well and should be recommended to use as an alternative choice. Finally, two applications are illustrated for the practi-
cal use.
Sponsorship
This study was partially supported for publication by the China Medical Board (CMB), Faculty of Public Health, Mahidol University, Bangkok, Thailand