Optimality of some weighing and \(2^n\) fractional factorial designs

From MaRDI portal
Publication:1135596

DOI10.1214/aos/1176344963zbMath0425.62055OpenAlexW2057130285MaRDI QIDQ1135596

Ching-Shui Cheng

Publication date: 1980

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176344963




Related Items (55)

A construction method of new \(D\)-, \(A\)-optimal weighing designs when \(N\equiv 3\bmod 4\) and \(k\leq N-1\)Further investigations on balanced arraysThe Concept of Majorization in Experimental DesignOn adaptive chemical balance weighing designsOn the characteristic polynomial of the information matrix of balanced fractional \(s^ m\) factorial designs for resolution \(V_{p,q}\)Local optimality and global superiority of adaptive designs in linear modelsOn A-optimal block matrices and weighing designs when N\(\equiv 3\,(mod\,4)\)An inequality for positive definite matrices with applications to combinatorial matricesD-optimal chemical balance weighing designs with autoregressive errorsE-optimal 2ksaturated designsConstruction of optimal fractional factorial resolution V designs with N\(\equiv 2\,mod\,16\) observationsLargest \(j\)-simplices in \(d\)-cubes: Some relatives of the Hadamard maximum determinant problemCompromise designs under baseline parameterizationAddition or deletion?Two-level minimum aberration designs in \(N=2 \pmod 4\) runsOptimal experimental designs for fMRI via circulant biased weighing designsE-optimal and highly E-efficient designs with (mod 4) correlated observations\(D\)-optimal weighing designs for \(n\equiv -1\pmod 4\) objects and a large number of weighingsMinimal point second order designsOptimal experimental design and some related control problemsOn the E-optimality of blocked main effects plans in blocks of different sizesDefining equations for two-level factorial designsRobustness of \(A\)-optimal designsRobustness of optimal designs for correlated random variables\(D\)-optimal designs for correlated random vectors\(D\)-optimal and near \(D\)-optimal \(2^k\) fractional factorial designs of resolution VA-optimal design matricesX=(xij)N×nwithxij=−1,0,1Schur- and \(E\)-optimal two-level factorial designsRegular E-Optimal Spring Balance Weighing Designs with Correlated ErrorsOptimal partially replicated parallel-flats designs for \(2^{n_{1}}\times 3^{n_2}\) mixed factorial experimentsFurther results on orthogonal array plus one run plansA note on an upper bound for the constraints of balancedarrays with strength tD-Optimal Designs for Covariate Parameters in Block Design Set UpFractional factorial designs of two and three levelsOn the optimality of orthogonal array plus one run plansNotes on D-optimal designsNESTING OPTIMAL MAIN EFFECTS PLANS AND OPTIMAL FOLDOVER DESIGNSSerially balanced factorial sequencesOptimal Supersaturated DesignsOptimal biased weighing designs and two-level main-effect plansOn the optimality of blocked main effects plans with even number of runsA note on the universal optimality criterion for full rank modelsOn arrays with some combinatorial structureOn the optimality of chemical balance weighing designsOrthogonal factorial design of parallel flats type and its application in biomedical researchOn balanced orthogonal multi-arrays: Existence, construction and application to design of experimentsComparison of designs equivalent under one or two criteriaOn some optimal fractional \(2^ m \)factorial designs of resolution VA-optimal design matricesOptimal Weighing DesignsUniquely E-optimal designs with \(n \equiv 2 \pmod{4}\) correlated observationsOn the \(E\)-optimality of blocked main effects plans when \(n \equiv 2 \pmod{4}\)On universally optimal designs for regression setupsConstructions of A-optimal weighing designs when \(n=19\)Adaptive design in the one-way layout




This page was built for publication: Optimality of some weighing and \(2^n\) fractional factorial designs