Unbiased condition of the dispersion effects estimator in unreplicated two-level factorial experiments

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• 作者：Liu Yang ; Jihong Li ; Yu Wang
• 关键词：Dispersion effects ; location ; dispersion model ; unreplicated factorial experiments
• 刊名：Journal of Systems Science and Complexity
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：29
• 期：6
• 页码：1716-1736
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Systems Theory, Control; Operation Research/Decision Theory; Mathematics of Computing; Complex Systems; Statistics, general;
• 出版者：Academy of Mathematics and Systems Science, Chinese Academy of Sciences
• ISSN：1559-7067
• 卷排序：29

文摘

This article presents a general form of the estimator for identifying dispersion effects from unreplicated two-level factorial experiments, and shows that the widely used estimators such as the BH, MH, and AMH estimators are all special cases of the proposed one, designated as the G estimator. The unbiased condition of the G estimator is proved, and a lower bound of variance of the G estimator is provided. A simulation based on a realistic design illustrates the variation of the variance and MSE (mean square error) of the G estimator on different coefficients. This estimator may be more flexible and has better performance than other methods such as the BH and MH estimators by appropriately selecting the coefficients.