Minimum MSE weights of adjusted summary estimator of risk difference in multi-center studies
Viwatwongkasem, Chukiat, Jitthavech, Jirawan, Böhning, Dankmar and Lorchirachoonkul, Vichit (2012) Minimum MSE weights of adjusted summary estimator of risk difference in multi-center studies. Open Journal of Statistics, 2, (1), 48-59. (doi:10.4236/ojs.2012.21006).
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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 practical use.
|Digital Object Identifier (DOI):||doi:10.4236/ojs.2012.21006|
|Subjects:||H Social Sciences > HA Statistics|
|Divisions:||Faculty of Social and Human Sciences > Mathematical Sciences > Statistics
Faculty of Social and Human Sciences > Southampton Statistical Sciences Research Institute
|Date Deposited:||09 Feb 2012 16:57|
|Last Modified:||27 Mar 2014 19:50|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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