On linear regression designs which maximize information
From MaRDI portal
Publication:1157861
DOI10.1016/0378-3758(80)90020-8zbMath0472.62079OpenAlexW2060289560MaRDI QIDQ1157861
Publication date: 1980
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0378-3758(80)90020-8
optimality criteriasingular information matricesadmissible designsapproximate design theorygeneral equivalence theoremsminimal cylinder problemspolar information functionals
Linear regression; mixed models (62J05) Optimal statistical designs (62K05) Design of statistical experiments (62K99) Applications of mathematical programming (90C90)
Related Items
Optimal designs for ratios of linear combinations in the general linear model, Submodularity and Randomized rounding techniques for Optimal Experimental Design, \(G\)-optimal designs for multi-factor experiments with heteroscedastic errors, Minimax linear regression estimation with symmetric parameter restrictions, Polars and subgradients of mixtures of information functions, Directional derivatives of optimality criteria at singular matrices in convex design theory, Efficiencies of some small second-order designs, Optimal designs for three-factorial split-plot models with random block effects, On conjugate functions, subgradients, and directional derivatives of a class of optimality criteria in experimental design, Group invariant orderings and experimental designs, Subdifferentiability and Lipschitz continuity in experimental design problems, On information matrices in nonlinear experimental design, Constrained optimal designs, Optimal approximate designs for comparison with control in dose-escalation studies, \(E\)-optimality for regression designs of supplementary experiments, Finding Bayesian Optimal Designs for Nonlinear Models: A Semidefinite Programming‐Based Approach, Computing optimal designs of multiresponse experiments reduces to second-order cone program\-ming, On a class of algorithms from experimental design theory, Optimal designs for mixed continuous and binary responses with quantitative and qualitative factors, Efficiency comparisons in linear inference, A new interpretation of optimality for \(E\)-optimal designs in linear regression models, Evaluation of Combinatorial Optimisation Algorithms for c-Optimal Experimental Designs with Correlated Observations, A class of semidefinite programs with rank-one solutions, Una caracterizacion de diseños de experimentos optimos por subgradientes, Optimality of experimental designs, Optimal designs for quadratic regression, Bayes, Admissible, and Minimax Linear Estimators in Linear Models with Restricted Parameter Space, On information functions and their polars, On optimality properties of simple block designs in the approximate design theory, Bayesian D-Optimal and Model Robust Designs in Linear Regression Models, Invited Discussion Paper Constrained Optimization of Experimental Design, Constrained design strategies for improving normal approximations in nonlinear regression problems, On universally optimal designs for regression setups, On the duality between locally optimal tests and optimal experimental designs, A geometric method for singular c-optimal designs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some classes of optimality criteria and optimal designs for complete two- way layouts
- General equivalence theory for optimum designs (approximate theory)
- A canonical form for the general linear model
- Sequences converging to D-optimal designs of experiments
- On the Nonrandomized Optimality and Randomized Nonoptimality of Symmetrical Designs
- The Equivalence of Two Extremum Problems
- Optimum Designs in Regression Problems, II
- Singular experimental designs (standard and HILBEKT-space approaches)
- Geometric approaches to design of experiment
- Optimal design: Some geometrical aspects of D-optimality
- Equivalence Theorems and Cutting Plane Algorithms for a Class of Experimental Design Problems
- A theorem on the difference of the generalized inverses of two nonnegative matrices
- Optimal design measures with singular information matrices
- Optimal design of complex experiments with qualitative factors of influence
- A Lagrangian approach to optimal design
- An Extremum Result
- Optimal Experimental Designs
- Optimal and Efficient Designs of Experiments
- A geometric approach to optimal design theory
- Übersichtsarbeiten
- Optimum Allocation in Linear Regression Theory
- Locally Optimal Designs for Estimating Parameters
- On the Efficient Design of Statistical Investigations