Journal ArticleDOI
Minimum Aberration 2 k–p Designs
Arthur Fries,William G. Hunter +1 more
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TLDR
In this article, the concept of aberration is proposed as a way of selecting the best designs from those with maximum resolution, and algorithms are presented for constructing these minimum aberration designs.Abstract:
For studying k variables in N runs, all 2 k–p designs of maximum resolution are not equally good. In this paper the concept of aberration is proposed as a way of selecting the best designs from those with maximum resolution. Algorithms are presented for constructing these minimum aberration designs.read more
Citations
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Journal ArticleDOI
Construction of some 3n—m regular designs with general minimum lower order confounding
TL;DR: For three-level designs, the general minimum lower order confounding (GMC) criterion aims to choose optimal designs by treating aliased component-number pattern (ACNP) as a set.
Journal ArticleDOI
Split-plot designs with mirror image pairs as sub-plots
TL;DR: In this article, the authors investigated two-level split-plot designs where the sub-plots consist of only two mirror image trials and showed that these designs divide the estimated effects into two orthogonal sub-spaces, separating sub-plot main effects and subplot by whole-plot interactions from the rest.
Journal ArticleDOI
Screening Properties And Design Selection Of Certain Two-Level Designs
TL;DR: In this paper, the authors give all the inequivalent projections of inequivalent Hadamard matrices of order 28 into k=3 and 4 dimensions and furthermore, they give partial results for k=5 and sort these projections according to their generalized resolution and their generalized aberration.
Missing observations and restrictions on randomization in nanomanufacturing experimentation
TL;DR: New Bayesian algorithms are proposed that combine information from the traditional Bayesian screening algorithm used for identifying active factors and three existing algorithms for missing observations and are applied to simulated data sets that resemble the setup of the nano-scale lubrication experiment assuming one and two missing observations.
Journal ArticleDOI
Minimum Aberration Two-Level Fractional Factorial Split-Plot Designs with Hard to Change Factors
TL;DR: In this paper, the problem of finding two-level split plot designs which have minimum aberration among those designs which also minimize the number of level changes for the hard to change factors is considered.
References
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Book
Applications of Statistics to Industrial Experimentation
TL;DR: In conclusion, the size of Industrial Experiments, Fractional Replication--Elementary, and Incomplete Factorials are found to be about the same as that of conventional comparison experiments.
Journal ArticleDOI
Applications in Statistics to Industrial Experimentation.
F. N. David,C. Daniel +1 more
TL;DR: Incomplete Factorials, Fractional Replication, Intermediate Factorial, and Nested Designs as discussed by the authors are some of the examples of incomplete Factorial Experiments and incomplete fractional replicates.