Some optimal criteria of model-robustness for two-level non-regular fractional factorial designs
نویسندگان
چکیده
منابع مشابه
Some optimal criteria of model-robustness for two-level non-regular fractional factorial designs
We present some optimal criteria to evaluate model-robustness of non-regular two-level fractional factorial designs. Our method is based on minimizing the sum of squares of all the off-diagonal elements in the information matrix, and considering expectation under appropriate distribution functions for unknown contamination of the interaction effects. By considering uniform distributions on symm...
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A commonly used follow-up experiment strategy involves the use of a foldover design by reversing the signs of one or more columns of the initial design. De ning a foldover plan as the collection of columns whose signs are to be reversed in the foldover design, this article answers the following question: Given a 2kp design with k factors and p generators, what is its optimal foldover plan? We ...
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SUMMARY 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, with random or fixed block effects, 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 ra...
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Non-regular two-level fractional factorial designs, such as Plackett–Burman designs, are becoming popular choices in many areas of scientific investigation due to their run size economy and flexibility. The run size of nonregular two-level factorial designs is a multiple of 4. They fill the gaps left by the regular twolevel fractional factorial designs whose run size is always a power of 2 (4, ...
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ژورنال
عنوان ژورنال: Annals of the Institute of Statistical Mathematics
سال: 2010
ISSN: 0020-3157,1572-9052
DOI: 10.1007/s10463-010-0292-7