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We propose simultaneous tests for coefficients in high dimensional linear regression models with factorial designs. The proposed tests are designed for the “large p, small n situations where the conv...
In this paper, based on the assumption that the four-factor and higher-order interactions are to be negligible, we consider a balanced fractional 2m factorial design derived from a simple array such t...
Under the assumption that the three-factor and higher-order interactions are negligible, we consider two kinds of partially balanced fractional 2m1+m2 factorial designs derived from simple partially b...
In a general fractional factorial design, the n-levels of a factor are coded by the n-th roots of the unity. This device allows a full generalization to mixed-level designs of the theory of the poly...
This paper considers the construction of minimum aberration (MA) blocked factorial designs. Based on coding theory, the concept of minimum moment aberration due to Xu [Statist. Sinica 13 (2003) 691...

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