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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References
SHOWING 1-10 OF 22 REFERENCES
The Design of Blocked Fractional Factorial Split-Plot Experiments
- MathematicsTechnometrics
- 2004
A catalog of designs is presented in which BFFSP designs are ranked according to the minimum aberration criterion, and additional optimality criteria are used to assist in the ranking procedure.
Design Issues in Fractional Factorial Split-Plot Experiments
- Computer Science
- 2001
It is shown how the split-plot structure affects estimation, precision, and the use of resources in fractional factorial design and how these issues affect design selection in a real industrial experiment.
Some theoretical results for fractional factorial split-plot designs
- Mathematics
- 1999
Fractional factorial (FF) designs are commonly used in industrial experiments to identify factors affecting a process. When it is expensive or difficult to change the levels of some of the factors,…
Designing fractional factorial split‐plot experiments with few whole‐plot factors
- Mathematics
- 2004
Summary. When it is impractical to perform the experimental runs of a fractional factorial design in a completely random order, restrictions on the randomization can be imposed. The resulting design…
Choice of Optimal Blocking Schemes in Two-Level and Three-Level Designs
- MathematicsTechnometrics
- 2002
This work proposes alternative criteria that allow estimation of more lower-order effects in blocking schemes and Extensions to three-level fractional factorial design are considered, and tables of useful designs are given.
Model-Robust Factorial Designs
- MathematicsTechnometrics
- 2000
A class of balanced designs that can be used for estimation of main effects and any combination of up to CJin teractions, where g is specified by the user, are developed, which are surprisingly robust to model misspecification.
Minimum-Aberration Two-Level Fractional Factorial Split-Plot Designs
- MathematicsTechnometrics
- 1999
It is often impractical to perform the experimental runs of a fractional factorial in a completely random order, In these cases, restrictions on the randomization of the experimental trials are…
Minimum aberration and model robustness for two‐level fractional factorial designs
- Mathematics
- 1999
The performance of minimum aberration two‐level fractional factorial designs is studied under two criteria of model robustness. Simple sufficient conditions for a design to dominate another design…
Blocked Regular Fractional Factorial Designs With Minimum Aberration
- Mathematics
- 2005
This paper considers the construction of minimum aberra- tion (MA) blocked factorial designs. Based on coding theory, the con- cept of minimum moment aberration due to Xu (2003) for unblocked designs…
Fractional resolution and minimum aberration in blocked 2 n−k designs
- Mathematics
- 1997
Systematic sources of variation can be reduced in fractional factorial experiments by grouping the runs into blocks. This is accomplished through the use of blocking factors. The concepts of…