Robustness of \(A\)-optimal designs
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Publication:947601
DOI10.1016/j.laa.2008.02.017zbMath1145.62053OpenAlexW2051846647MaRDI QIDQ947601
Publication date: 6 October 2008
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2008.02.017
correlationtraceHadamard matrixgeneralized least squares estimatorschemical balancerandomized effects
Estimation in multivariate analysis (62H12) Optimal statistical designs (62K05) Factorial statistical designs (62K15) Robust parameter designs (62K25)
Related Items (9)
Robustness of Optimal Chemical Balance Weighing Designs for Estimation of Total Weight ⋮ A-Optimal Spring Balance Weighing Designs Under Some Conditions ⋮ Recent accomplishments in weighing designs ⋮ E-optimal and highly E-efficient designs with (mod 4) correlated observations ⋮ Robustness of optimal designs for correlated random variables ⋮ Necessary and sufficient conditions in the problem of D-optimal weighing designs with autocorrelated errors ⋮ Regular E-Optimal Spring Balance Weighing Designs with Correlated Errors ⋮ Unnamed Item ⋮ Uniquely E-optimal designs with \(n \equiv 2 \pmod{4}\) correlated observations
Cites Work
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- Further results on construction methods for some A- and D-optimal weighing designs when N\(\equiv 3\) (mod 4)
- On the optimality of chemical balance weighing designs
- Comparison of designs equivalent under one or two criteria
- A-optimal design matrices
- A-optimal weighing designs when N\(\equiv 3(mod\,4)\)
- \(D\)-optimal designs for correlated random vectors
- An optimization problem with applications to optimal design theory
- Optimality of some weighing and \(2^n\) fractional factorial designs
- Construction methods for D-optimum weighing designs when n=3(mod 4)
- Optimality of certain asymmetrical experimental designs
- Optimal experimental designs for models with covariates.
- A unified approach in addition or deletion of two level factorial designs.
- \(A\)-optimal chemical balance weighing design with correlated errors
- A-optimal chemical balance weighing design with nonhomogeneity of variances of errors
- Determinantenabschätzung für binäre Matrizen mit \(n\equiv 3\bmod 4\)
- Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
- A-optimal design matricesX=(xij)N×nwithxij=−1,0,1∗
- Optimal Weighing Designs
- Hadamard matrices and their applications
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