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Title: Minimum mse weights of adjusted summary estimator of risk difference in multi-center studies
Authors: Chukiat Viwatwongkasem
Jirawan Jitthavech
Dankmar Böhning
Vichit Lorchirachoonkul
ชูเกียรติ  วิวัฒน์วงศ์เกษม
Mahidol university. Faculty of Public Health. Department of Biostatistics
Chukiat Viwatwongkasem
Keywords: Minimum MSE Weights;Optimal Weights;Cochran-Mantel-Haenszel Weights;Inverse Variance Weights;Multi-Center Studies;Risk Difference;Open Access article
Issue Date: 2012
Citation: Open Journal of Statistics. Vol.2, (2012), 48-59
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.
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