A general theory of minimum aberration and its applications
From MaRDI portal
Publication:2388361
DOI10.1214/009053604000001228zbMath1068.62086arXivmath/0505642OpenAlexW2038808142MaRDI QIDQ2388361
Publication date: 12 September 2005
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0505642
blockingorthogonal arrayrobust parameter designlinear graphrequirement setsplit plot designdesign resolution
Related Items (18)
A UNIFIED FRAMEWORK FOR MINIMUM ABERRATION ⋮ Model-guided adaptive sampling for Bayesian model selection ⋮ Minimum aberration criterion for screening experiments at two levels from an entropy-based perspective ⋮ Optimizing two-level orthogonal arrays for simultaneously estimating main effects and pre-specified two-factor interactions ⋮ Lower-order confounding information of inverse Yates-order two-level designs ⋮ Constructing minimum aberration split-plot designs via complementary sets when the whole plot factors are important ⋮ A Generalized General Minimum Lower Order Confounding Criterion for General Orthogonal Designs ⋮ Bayesian-inspired minimum contamination designs under a double-pair conditional effect model ⋮ Characterization of three-order confounding via consulting sets ⋮ A generalized general minimum lower order confounding criterion for nonregular designs ⋮ Alternative optimal foldover plans for regular fractional factorial split-plot designs ⋮ Construction results on minimum aberration blocking schemes for \(2^{m}\) designs ⋮ General minimum lower order confounding designs: an overview and a construction theory ⋮ Isomorphism check for \(2^n\) factorial designs with randomization restrictions ⋮ Blocked two-level regular designs with general minimum lower order confounding ⋮ Trend-Free Designs in Blocked Factorial Experiments ⋮ The factor aliased effect number pattern and its application in experimental planning ⋮ Minimax design criterion for fractional factorial designs
Cites Work
- Unnamed Item
- Unnamed Item
- Some results on \(2^{n-k}\) fractional factorial designs and search for minimum aberration designs
- \(2^{n-l}\) designs with weak minimum aberration
- Characterization of minimum aberration \(2^{n-k}\) designs in terms of their complementary designs
- Some identities on \(q^{n-m}\) designs with application to minimum aberration designs
- Structure function for aliasing patterns in \(2^{l-n}\) design with multiple groups of factors
- Some theoretical results for fractional factorial split-plot designs
- Blocking in regular fractional factorials: A projective geometric approach
- Minimum \(G_2\)-aberration for nonregular fractional factorial designs
- Theory of optimal blocking of \(2^{n-m}\) designs
- Blocked regular fractional factorial designs with maximum estimation capacity.
- On regular fractional factorial experiments in row--column designs
- Some results on \(s^{n-k}\) fractional factorial designs with minimum aberration or optimal moments
- Minimum Aberration 2 k-p Designs
- Minimum Aberration and Model Robustness for Two-Level Fractional Factorial Designs
- Fractional Resolution and Minimum Aberration in Blocked 2 n-k Designs
- Minimum-Aberration Two-Level Split-Plot Designs
- Compound Orthogonal Arrays
This page was built for publication: A general theory of minimum aberration and its applications
