Optimal two-level regular fractional factorial block and split-plot designs

@article{Cheng2009OptimalTR,
  title={Optimal two-level regular fractional factorial block and split-plot designs},
  author={Ching-Shui Cheng and Pi-Wen Tsai},
  journal={Biometrika},
  year={2009},
  volume={96},
  pages={83-93}
}
We propose a general and unified approach to the selection of regular fractional factorial designs, which can be applied to experiments that are unblocked, blocked or have a split-plot structure. Our criterion is derived as a good surrogate for the model-robustness criterion of information capacity. In the case of random block effects, it takes the ratio of intra- and interblock variances into account. In most of the cases we have examined, there exist designs that are optimal for all values of… 

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