
Unbiased Condition of the Dispersion Effects Estimator in Unreplicated Two-Level Factorial Experiments
YANG Liu,LI Jihong,WANG Yu
Journal of Systems Science & Complexity ›› 2016, Vol. 29 ›› Issue (6) : 1716-1736.
Unbiased Condition of the Dispersion Effects Estimator in Unreplicated Two-Level Factorial Experiments
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.
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