Analysis of supersaturated designs via the Dantzig selector

DOI10.1016/j.jspi.2008.10.023zbMath1160.62071OpenAlexW2048069777MaRDI QIDQ1015886

Hongquan Xu, Yu-Hui Pan, Frederick Kin Hing Phoa

Publication date: 30 April 2009

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2008.10.023

zbMATH Keywords

linear programmingAkaike information criterionDantzig selectorscreening experimentsupersaturated designfactor sparsityprofile plot

Mathematics Subject Classification ID

Ridge regression; shrinkage estimators (Lasso) (62J07) Linear regression; mixed models (62J05) Factorial statistical designs (62K15) Graphical methods in statistics (62A09)

Related Items (30)

Analysis of a supersaturated design using entropy prior complexity for binary responses via generalized linear models ⋮ Functionally induced priors for componentwise Gibbs sampler in the analysis of supersaturated designs ⋮ Screening active factors in supersaturated designs ⋮ Supersaturated designs: are our results significant? ⋮ A method for analyzing supersaturated designs inspired by control charts ⋮ A two-stage variable selection strategy for supersaturated designs with multiple responses ⋮ Sure independence screening for analyzing supersaturated designs ⋮ Supersaturated designs: a review of their construction and analysis ⋮ An information theoretical algorithm for analyzing supersaturated designs for a binary response ⋮ Systematic enumeration of two-level even-odd designs of strength 3 ⋮ Construction of optimal supersaturated design with large number of levels ⋮ An overview of two-level supersaturated designs with cyclic structure ⋮ Selection of a stroke risk model based on transcranial Doppler ultrasound velocity ⋮ A cluster analysis selection strategy for supersaturated designs ⋮ A comparison of design and model selection methods for supersaturated experiments ⋮ Design of variable resolution for model selection ⋮ Factor screening in nonregular two-level designs based on projection-based variable selection ⋮ A Variable Selection Method for Analyzing Supersaturated Designs ⋮ Acceleration of the stochastic search variable selection via componentwise Gibbs sampling ⋮ Analyzing supersaturated designs for discrete responses via generalized linear models ⋮ The effects of nonnormality on the analysis of supersaturated designs: a comparison of stepwise, SCAD and permutation test methods ⋮ On construction of optimal mixed-level supersaturated designs ⋮ Recent developments in nonregular fractional factorial designs ⋮ A New Method for the Analysis of Supersaturated Designs with Discrete Data ⋮ A screening approach for non-parametric global sensitivity analysis ⋮ Optimal Supersaturated Designs ⋮ A method for augmenting supersaturated designs ⋮ Supersaturated designs robust to two-factor interactions ⋮ R-optimal two-level supersaturated designs ⋮ A New Analysis Strategy for Designs With Complex Aliasing

Cites Work

• Unnamed Item
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• Unnamed Item
• Construction of optimal multi-level supersaturated designs
• Construction and analysis of \(Es^{2}\) efficient supersaturated designs
• Data analysis in supersaturated designs.
• Construction of \(E(s^2)\)-optimal supersaturated designs
• On the construction of multi-level supersaturated designs
• \(E(\chi ^{2})\)-optimal mixed-level supersaturated designs
• \(E(s^{2})\)-optimal supersaturated designs with good minimax properties
• Optimal mixed-level supersaturated designs and a new class of combinatorial designs
• Cyclicly constructed \(E(s^{2})\)-optimal supersaturated designs
• The Dantzig selector: statistical estimation when \(p\) is much larger than \(n\). (With discussions and rejoinder).
• On multi-level supersaturated designs
• Construction of multi-level supersaturated design via Kronecker product
• A General Method of Constructing E(s2)-Optimal Supersaturated Designs
• An Algorithmic Approach to Constructing Supersaturated Designs
• An Analysis for Unreplicated Fractional Factorials
• Regression and time series model selection in small samples
• Some Systematic Supersaturated Designs
• Construction of supersaturated designs through partially aliased interactions
• A method for constructing supersaturated designs and its Es² optimality
• Columnwise-Pairwise Algorithms with Applications to the Construction of Supersaturated Designs
• A Bayesian Variable-Selection Approach for Analyzing Designed Experiments with Complex Aliasing
• A Statistical View of Some Chemometrics Regression Tools
• Generating Systematic Supersaturated Designs
• Ridge Regression: Applications to Nonorthogonal Problems

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