Theory of optimal designs

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Publication:1801310

zbMath0688.62043MaRDI QIDQ1801310

Kirti R. Shah, Bikas Kumar Sinha

Publication date: 5 June 1993

Published in: Lecture Notes in Statistics (Search for Journal in Brave)




Related Items (81)

Universal optimality of ue 3-designs for a competing effects modelMBMUDs: A combinatorial extension of BIBDs showing good optimality behaviourA Class Of Neighbor Balanced Complete Block Designs and their Efficiencies for Spatially Correlated ErrorsOptimality of neighbor-balanced designs for total effectsUniform semi-Latin squares and their pairwise-variance aberrationsUniform Semi-Latin Squares and Their Schur-OptimalityThe maximum determinant of \(\pm 1\) matricesGeneralized polygonal designs with block size \(3\) and \(\lambda =1\)Efficient two-replicate resolvable row-column designsConstructions for regular-graph semi-Latin rectangles with block size twoMaximal \(j\)-simplices in the real \(d\)-dimensional unit cubeRecent developments in D-optimal designsAn overview of design of experimentsUniversally optimal balanced changeover designs with first residualsA class of optimization problems on minimizing variance based criteria in respect of parameter estimators of a linear modelOptimality of neighbour balanced designsOptimal repeated measurements designs: The linear optimality equationsOptimal blocked minimum-support designs for non-linear modelsBinary designs are not always the bestA note on the construction of incomplete row-column designs: an algorithmic approachOn the meaning of block effects in paired comparison choice experiments and a relationship with blocked \(2^K\) main effects plansOptimality of some row-column designsOptimality of block designs under the model with the first-order circular autoregressionEnsuring balance through optimal allocation of experimental units with known categorical covariates into two treatmentsA procedure for reducing the number of pairs in conjoint analysisOptimal design generation: an approach based on discovery probabilityOptimal regular graph designsA note on robustness of D-optimal block designs for two-colour microarray experimentsOptimum designs for estimation of regression parameters in a balanced treatment incomplete block design set-upA note on generalized binary proper efficiency-balanced block designsComparison of two experimental designs in reliability studiesCircular neighbor-balanced designs universally optimal for total effectsOptimal cross-over designs for full interaction modelsExperiments in rectangular areas: design and randomizationAspects of optimality of plans orthogonal through other factors and related multiway designsOn MSE-optimal crossover designsPartially A-optimal blocked multi-factor designsConfounded row-column designsOptimal \(s^n\) factorial designs when observations within-blocks are correlatedSymmetric factorial designs in blocksSome optimal row-column designsOptimal Complete Block Designs to Adjust for Interplot Competition with a Covariance AnalysisOn optimal schemes in progressive censoringOptimality Criteria and Optimal Schemes in Progressive CensoringOn the type I optimality of blocked 2-level main effects plans having blocks of different sizesOn a conjecture in \(D\)-optimal designs with \(n \equiv 0 \bmod 4\)Algorithmic construction of optimal block designs for two-colour cDNA microarray experiments using the linear mixed effects model\(D\)-optimal response surface designs in the presence of random block effects.Resolvable designs with large blocksEfficient crossover designs for non-regular settingsOn the connectedness of saturated square designsOptimal Designs for Binary Logistic Regression with a Qualitative Classifier with Independent LevelsUnnamed ItemUnnamed ItemShape optimal design criterion in linear modelsA complete class of type 1 optimal block designs with unequal replicationsSesqui-arrays, a generalisation of triple arraysOptimality of circular neighbor-balanced designs for total effects with autoregressive correlated observationsOptimal Supersaturated DesignsVariance and concurrence in block designs, and distance in the corresponding graphsRoot systems and optimal block designsOptimal incomplete-block designs with low replication: a unified approach using graphsConstructions of Residual Treatment Effects Designs for Comparing Test Treatments with a ControlMultiphase experiments with at least one later laboratory phase. II. Nonorthogonal designsUnnamed ItemCircular Strongly Balanced Repeated Measurements DesignsA note on the E-optimality of regular line graph designsOptimal biased weighing designs and two-level main-effect plansOn the \(A\) criterion of experimental designNonbinary variance-balanced designs. I. OptimalityOptimal experimentation in two blocksDesigns, Groups and ComputingGenerally optimal main-effect fractions of \(U\times V\) designs with \(U+V\) unitsSubstitutes for the non-existent square lattice designs for 36 varietiesAugmented block designs for unreplicated trialsNested changeover designsDesigns with nearly minimal number of observations and flexible blockingOn \(s\)- and (\(m,s\))-optimality of minimal incomplete block designsOptimal design with many blocking factors.Bayesian \(A\)-optimal two-phase designs with a single blocking factor in each phaseUniversal optimality of Patterson's crossover designs




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