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Optimal designs for multiple treatments with unequal variances
Optimal treatment allocation D-optimality D A -optimality Treatment contrast Product design Variance heterogeneity
2016/1/26
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...
CENTRAL LIMIT THEOREMS FOR FOUR NEW TYPES OF U-DESIGNS
Central limit theorem correlation controlled U-design nested U-design sliced U-design strong orthogonal array based U-design
2016/1/26
Orthogonal array based Latin hypercube designs, also called U-designs, have been popularly adopted in designing a computer exper-iment. Nested U-designs, sliced U-designs, strong orthogonal array base...
Identification of universally optimal circular designs for the interference model
Approximate design theory circular design interference model linear equations system universal optimality
2016/1/26
Many applications of block designs exhibit neighbor and edge ef-fects. A popular remedy is to use the circular design coupled with the interference model. The search for optimal or efficient designs h...
A GENERAL THEORY FOR ORTHOGONAL ARRAY BASED LATIN HYPERCUBE DESIGNS
Functional decomposition Latin hypercube design orthog- onal array statistical property
2016/1/26
Orthogonal array based Latin hypercube designs (LHDs) are popularly adopted for computer experiments. Because of their stratification on multivariate margins in addition to univariate uniformity, the ...
Optimal Designs for the Proportional Interference Model
Approximate design theory equivalence theorem interference model optimal design proportional mode
2016/1/26
The interference model has been widely used and studied in block experiments where the treatment for a particular plot has effects on its neighbor plots. In this paper, we study optimal circular desig...
Optimality of Pairwise Blocked Definitive Screening Designs
Blocking Definitive screening design Optimality Generalized minimum aberration Fold-over
2016/1/26
Definitive screening designs are a new class of three-level designs which are shown superior to the classical central composite designs in response surface methodology. They can be constructed by inse...
Balanced Incomplete Latin Square Designs
Balanced incomplete Latin square information matrix optimality orthogonal Latin square
2016/1/25
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...
Identification of universally optimal circular designs for the interference model
Approximate design theory circular design interference model linear equations system universal optimality
2016/1/20
Many applications of block designs exhibit neighbor and edge ef-fects. A popular remedy is to use the circular design coupled with the interference model. The search for optimal or efficient designs h...
Optimal Designs for the Proportional Interference Model
Approximate design theory equivalence theorem interference model optimal design proportional model
2016/1/20
The interference model has been widely used and studied in block experiments where the treatment for a particular plot has effects on its neighbor plots. In this paper, we study optimal circular desig...
Optimality of Pairwise Blocked Definitive Screening Designs
Blocking Definitive screening design Optimality Generalized minimum aberration Fold-over
2016/1/20
Definitive screening designs are a new class of three-level designs which are shown superior to the classical central composite designs in response surface methodology. They can be constructed by inse...
Sliced space-filling designs with different levels of two-dimensional uniformity
Asymmetric Balanced Computer experiment Sliced orthogonal array
2016/1/20
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...
Construction of sliced space-ˉlling designs based on balanced sliced orthogonal arrays
Balanced computer experiment difference matrix Latin hypercube design
2016/1/20
Latin hypercube designs have been widely used in computer experiments with quantitative factors. When there are both qualitative and quantitative fac-tors in computer experiments, sliced space-filling...
Complementary Design Theory for Uniform Designs
Complementary design discrepancy uniformity
2016/1/20
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...
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...
Efficient Prediction Designs for Random Fields
optimal design pareto front empirical kriging gaussian process models
2013/6/14
For estimation and predictions of random fields it is increasingly acknowledged that the kriging variance may be a poor representative of true uncertainty. Experimental designs based on more elaborate...