Construction of marginally and conditionally restricted designs using multiplicative algorithms

DOI10.1016/j.csda.2007.03.025zbMath1445.62201OpenAlexW2067139850MaRDI QIDQ1020648

J. Martínez

Publication date: 2 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.csda.2007.03.025

zbMATH Keywords

equivalence theorem\(D\)-optimality\(D_A\)-optimalityapproximate design\(D_s\)-optimality\(c\)-optimality\(L_A\)-optimalityuncontrolled variables

Mathematics Subject Classification ID

Optimal statistical designs (62K05)

Related Items (11)

Optimal experimental designs for partial likelihood information ⋮ Computing efficient exact designs of experiments using integer quadratic programming ⋮ An algorithm based on semidefinite programming for finding minimax optimal designs ⋮ Multiplicative methods for computing \(D\)-optimal stratified designs of experiments ⋮ Computing exact \(D\)-optimal designs by mixed integer second-order cone programming ⋮ Bayesian optimum designs for discriminating between models with any distribution ⋮ Construction of efficient experimental designs under multiple resource constraints ⋮ Multiplicative algorithms for computing optimum designs ⋮ A comparison of general-purpose optimization algorithms for finding optimal approximate experimental designs ⋮ Marginally restricted sequential D‐optimal designs ⋮ Experimental designs in triangular simultaneous equations models

Cites Work

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• On the design of experiments in the presence of fixed covariates
• Some algorithmic aspects of the theory of optimal designs
• Marginally restricted linear-optimal designs
• Construction of optimal designs using a clustering approach
• Estimation of Correlation Coefficients by Ellipsoidal Trimming
• Marginally Restricted D-Optimal Designs
• Algorithms for the construction of optimizing distributions
• Construction of Constrained Optimal Designs

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