Block designs for first and second order neighbor correlations

DOI10.1214/aos/1176350956zbMath0664.62078OpenAlexW1974587881MaRDI QIDQ1115071

John P. Morgan, I. M. Chakravarti

Publication date: 1988

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176350956

zbMATH Keywords

minimalityHamiltonian cyclessemibalanced arraysminimum optimum NN1 designsneighbor correlationsnew solution for block size 3NN2 optimum complete block designsNN2 optimum incomplete block esignspartial variance balancetransitive arrays

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of block designs (05B05) Statistical block designs (62K10)

Related Items (13)

A Class Of Neighbor Balanced Complete Block Designs and their Efficiencies for Spatially Correlated Errors ⋮ An overview of design of experiments ⋮ Optimal saturated block designs when observations are correlated ⋮ Optimal and near optimal sets of Latin squares for correlated errors ⋮ MV-optimal block designs for correlated errors ⋮ Finding optimal designs in the presence of trends ⋮ Efficient designs based on orthogonal arrays of type I and type II for experiments using units ordered over time or space ⋮ Efficient block designs for comparing test treatments to a control when the errors are correlated ⋮ Efficient block designs for comparing test treatments to a control when the errors are correlated ⋮ Nearest neighbor balanced block designs for autoregressive errors ⋮ Some series constructions for two-dimensional neighbor designs ⋮ Optimal incomplete block designs for general dependence structures ⋮ Correlation uniform incomplete block designs

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