Optimality of neighbour balanced designs when neighbour effects are neglected

DOI10.1016/S0378-3758(96)00213-3zbMath0908.62074OpenAlexW2086012852MaRDI QIDQ1378826

Jean-Marc Azaïs, Pierre Druilhet

Publication date: 15 March 1999

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(96)00213-3

zbMATH Keywords

randomizationbias optimalityuniversal optimalitycircular designsneighbour balanced designs

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Statistical block designs (62K10)

Related Items (12)

Randomization of neighbour balanced generalized Youden designs ⋮ Multiple response optimisation: an approach from multiobjective stochastic programming ⋮ Optimal Block Designs With Interference Effects From Neighboring Units Under a Non Additive Model ⋮ A note on optimal directional neighbour designs with random block effect ⋮ Optimality of neighbour balanced designs ⋮ Universally optimal designs under mixed interference models with and without block effects ⋮ First order rotatable designs incorporating differential neighbour effects from experimental units up to distance 2 ⋮ Optimal block designs with non additive mixed effects interference ⋮ Optimal Circular Block Designs for Neighbouring Competition Effects ⋮ On MSE-optimal crossover designs ⋮ Optimal Complete Block Designs to Adjust for Interplot Competition with a Covariance Analysis ⋮ On the analysis of circular balanced crossover designs.

Cites Work

• Optimal incomplete block designs for general dependence structures
• Optimum balanced block and Latin square designs for correlated observations
• Optimality of neighbour balanced designs
• On the choice of optimality criteria in comparing statistical designs
• Optimal repeated measurements designs for correlated observations and analysis by weighted least squares
• Valid randomization
• A Unified Approach to Design of Experiments
• Inequalities: theory of majorization and its applications
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