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.

PDF(290 KB)
PDF(290 KB)
Journal of Systems Science & Complexity ›› 2016, Vol. 29 ›› Issue (6) : 1716-1736. DOI: 10.1007/s11424-016-5194-1

Unbiased Condition of the Dispersion Effects Estimator in Unreplicated Two-Level Factorial Experiments

Author information +
History +

Abstract

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.

Cite this article

Download Citations
YANG Liu , LI Jihong , WANG Yu. Unbiased Condition of the Dispersion Effects Estimator in Unreplicated Two-Level Factorial Experiments. Journal of Systems Science and Complexity, 2016, 29(6): 1716-1736 https://doi.org/10.1007/s11424-016-5194-1
PDF(290 KB)

69

Accesses

0

Citation

Detail

Sections
Recommended

/