A comparison of design and model selection methods for supersaturated experiments

DOI10.1016/j.csda.2010.02.017zbMath1284.62477OpenAlexW1964003007MaRDI QIDQ2445769

David C. Woods, Christopher J. Marley

Publication date: 14 April 2014

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://eprints.soton.ac.uk/69458/1/s3ri-workingpaper-M09-20.pdf

zbMATH Keywords

simulationscreeningmain effectseffect sparsityBayesian \(D\)-optimal designs\(E(s^{2})\)-optimal designsGauss-Dantzig selector

Mathematics Subject Classification ID

Optimal statistical designs (62K05)

Related Items (19)

Analysis of a supersaturated design using entropy prior complexity for binary responses via generalized linear models ⋮ Augmenting supersaturated designs with Bayesian \(D\)-optimality ⋮ Screening active factors in supersaturated designs ⋮ \(E(s^2)\)- and \(UE(s^2)\)-optimal 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 ⋮ Structure of Nonregular Two-Level Designs ⋮ Improving the efficiency of individualized designs for the mixed logit choice model by including covariates ⋮ Design of variable resolution for model selection ⋮ 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 ⋮ Computer-aided unbalanced supersaturated designs involving interactions ⋮ Optimal Supersaturated Designs ⋮ On the analysis of unbalanced two-level supersaturated designs via generalized linear models ⋮ A method for augmenting supersaturated designs ⋮ Supersaturated designs robust to two-factor interactions

Uses Software

• R
• lp_solve
• lpSolve

Cites Work

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• Analysis of supersaturated designs via the Dantzig selector
• Data analysis in supersaturated designs.
• \(E(s^{2})\)-optimal supersaturated designs with good minimax properties
• The Dantzig selector: statistical estimation when \(p\) is much larger than \(n\). (With discussions and rejoinder).
• Bayesian D-optimal supersaturated designs
• Detection of Interactions in Experiments on Large Numbers of Factors
• An Algorithmic Approach to Constructing Supersaturated Designs
• An Analysis for Unreplicated Fractional Factorials
• Some Systematic Supersaturated Designs
• Construction of supersaturated designs through partially aliased interactions
• A Simple Bayesian Modification of D-Optimal Designs to Reduce Dependence on an Assumed Model
• Model Selection and Accounting for Model Uncertainty in Graphical Models Using Occam's Window
• Columnwise-Pairwise Algorithms with Applications to the Construction of Supersaturated Designs
• Model Selection and Multimodel Inference
• The Coordinate-Exchange Algorithm for Constructing Exact Optimal Experimental Designs
• Generating Systematic Supersaturated Designs

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