Recent developments in nonregular fractional factorial designs
نویسندگان
چکیده
منابع مشابه
Recent developments in nonregular fractional factorial designs
Nonregular fractional factorial designs such as Plackett-Burman designs and other orthogonal arrays are widely used in various screening experiments for their run size economy and flexibility. The traditional analysis focuses on main effects only. Hamada and Wu (1992) went beyond the traditional approach and proposed an analysis strategy to demonstrate that some interactions could be entertaine...
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Seeking the optimal design with a given number of runs is a main problem in fractional factorial designs(FFDs). Resolution of a design is the most widely usage criterion, which is introduced by Box and Hunter(1961), used to be employed to regular FFDs. The resolution criterion is extended to non-regular FFG, called the generalized resolution criterion. This criterion is providing the idea of ge...
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Nonregular fractional factorial designs such as Plackett-Burman designs are widely used in industrial experiments for run size economy and flexibility. A novel criterion, called moment aberration projection, is proposed to rank and classify nonregular designs. It measures the goodness of a design through moments of the number of coincidences between the rows of its projection designs. The new c...
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Fractional factorial designs are classified into two broad types: regular designs and nonregular designs. Regular designs are constructed through defining relations among factors; they are introduced in Chapter 1 (Section 1.7) and fully described in Chapter 7. These designs have a simple alias structure in that any two factorial contrasts are either orthogonal or fully aliased. The run sizes ar...
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When there is interest to study n chemicals using x dose levels each, factorial designs that require x(n) treatment groups have been put forward as one of the valuable statistical approaches for hazard assessment of chemical mixtures. Exemplary applications and cost-efficiency comparisons of full factorial designs and regular fractional factorial designs in toxicity studies can be found in Nesn...
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ژورنال
عنوان ژورنال: Statistics Surveys
سال: 2009
ISSN: 1935-7516
DOI: 10.1214/08-ss040