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Tests for High Dimensional Regression Coeffcients with Factorial Designs
Factorial Design Gene-set test High dimensional regression
2016/1/19
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...
Characterization of Balanced Fractional 2m Factorial Designs of Resolution R*({1}|3) and GA-optimal Designs
association algebra BFF designs estimable parametric functions GA-optimality criterion resolution simple arrays
2009/3/10
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...
Ga-Optimal Partially Balanced Fractional 2m1+m2 Factorial Designs of Resolutions R({00，10，01，20，02} | Ω) and R({00，10，01，20，11} | Ω) with 2 ≤ m1，m2 ≤ 4
association algebra estimable parametric functions GA-optimality criterion PBFF designs resolutions
2009/3/6
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...
Indicator function and complex coding for mixed fractional factorial designs
Algebraic statistics Complex coding Mixed-level designs Regularfraction Orthogonal arrays
2010/4/27
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...
Blocked regular fractional factorial designs with minimum aberration
Blocking scheme linear code minimum aberration minimummoment aberration Pless power moment identity projective geometry
2010/4/27
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...