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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：erration split-plot designs via complementary sets when the whole plot factors are important
图因子 互补集 错误分割图设计
2023/5/15
In practice, fractional factorial split-plot (FFSP) designs are widely used when the levels of some factors are very difficult to change or control. The factors of an FFSP design are divided into two ...
Construction of uniform U designs
discrepancy generalized wordtype pattern U design stochastic algorithm
2016/1/26
Orthogonal array based-Latin hypercubes, also called U designs, have popularly been adopted for designing a computer experiment. The relationship between the averaged squared discrepancy of all U desi...
Sliced space-filling designs with different levels of two-dimensional uniformity
Asymmetric Balanced Computer experiment Sliced orthogonal array Sliced space-filling design
2016/1/25
We consider sliced computer experiments where priori knowledge suggests that factors may have different levels of importance, and so some factors need to be paid more attention than others. A new clas...
Complementary Design Theory for Uniform Designs
Complementary design discrepancy uniformity
2016/1/25
Uniform design is to seek its design points to be uniformly scattered on the experimental domain under some discrepancy measure. In this paper all the design points of a full factorial design can be s...
Optimal designs for multiple treatments with unequal variances
Optimal treatment allocation D-optimality D A -optimality
2016/1/20
The response of a patient in a clinical trial usually depends on both the se-lected treatment and some latent covariates, while its variance varies across the treatment groups. A general heteroscedast...
Construction of uniform U designs
discrepancy generalized wordtype pattern U design stochastic algorithm
2016/1/20
Orthogonal array based-Latin hypercubes, also called U designs, have popularly been adopted for designing a computer experiment. The relationship between the averaged squared discrepancy of all U desi...
Balanced Incomplete Latin Square Designs
Balanced incomplete Latin square information matrix optimality orthogonal Latin square
2016/1/20
Latin squares have been widely used to design an experiment where the blocking factors and treatment factors are of the same levels. For some experiments, the size of blocks may be less than the numbe...
Some new classes of orthogonal Latin hypercube designs
Column-orthogonal rotation matrix full factorial design Galois field orthog- onal array orthogonal Latin hypercube
2016/1/19
Orthogonal Latin hypercube (OLH) is a good choice for computer experiments be-cause it ensures independent estimation of linear effects when a first-order model is fitted.However, when second-order ef...
A Spectral Analysis Approach for Experimental Designs
In this paper we show how the approach of spectral analysis generalizes the standard ANOVA-based techiques for studying data from designed experiments. Several examples are worked out in detail including a thorough analysis of Calvin's famous ice cream data.
2015/7/7
In this paper we show how the approach of spectral analysis generalizes the standard ANOVA-based techiques for studying data from designed experiments.Several examples are worked out in detail, includ...
Partially balance incomplete block (PBIB) design is based on association scheme. There are many kinds of association schemes and the structure of association scheme itself is an important object in co...
A GENERAL MINIMUM LOWER-ORDER CONFOUNDING CRITERION FOR TWO-LEVEL REGULAR DESIGNS
GENERAL MINIMUM LOWER-ORDER CONFOUNDING CRITERION TWO-LEVEL REGULAR DESIGNS
2015/3/20
Based on the hierarchical ordering principle of factorial effects in experimental design, we propose an aliased effect-number pattern (AENP) as a criterion to judge a two-level regular design; such a ...
A-optimal designs for generalized linear model with two parameters
A-optimal designs generalized linear model two parameters
2015/3/20
A-optimal designs for generalized linear model with two parameters.
Construction of fractional factorial split-plot designs with weak minimum aberration
fractional factorial split-plot designs weak minimum aberration
2015/3/20
Construction of fractional factorial split-plot designs with weak minimum aberration.
Improved Designs for World Cup and College Football
Improved Designs World Cup and College Football
2015/3/20
Improved Designs for World Cup and College Football.
Fractional Factorial Designs With Admissible Sets of Clear Two-Factor Interactions
Fractional Factorial Designs Admissible Sets Clear Two-Factor Interactions
2015/3/20
Fractional Factorial Designs With Admissible Sets of Clear Two-Factor Interactions.