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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...
Space-filling Latin Hypercube Designs based on Randomization Restrictions in Factorial Experiments
Computer experiments Nearly orthogonal arrays Spreads Stars
2013/6/13
Latin hypercube designs (LHDs) with space-filling properties are widely used for emulating computer simulators. Over the last three decades, a wide spectrum of LHDs have been proposed with space-filli...
Factorial clustering methods have been developed in recent years thanks to the improving of computational power. These methods perform a linear transformation of data and a clustering on transformed d...
Optimal Designs for Two-Level Factorial Experemients
Generalized linear model full factorial design cylindrical algebraic decomposition D-optimality information matrix uniform design
2010/3/11
We consider the problem of obtaining locally D-optimal designs for factorial exper-
iments with qualitative factors at two levels each with binary response. For the 22
factorial experiment with main...
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...
Factorial experimental designs and generalized linear models
generalized linear model exponential family Fisher-Scoring algorithm factorial designs regular fraction
2009/2/23
This paper deals with experimental designs adapted to a generalized linear model. We introduce a special link function for which the orthogonality of design matrix obtained under Gaussian assumption i...
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...