Trend-free block designs: Theory

DOI10.1214/aos/1176345081zbMath0451.62059OpenAlexW2037722863MaRDI QIDQ1148091

Ralph A. Bradley, Ching-Ming Yeh

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1214/aos/1176345081

zbMATH Keywords

trend analysisoptimalitydesign criteriaconnected designsanalysis of covarianceelimination of trend effectstrend-free block designs

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of block designs (05B05) Statistical block designs (62K10) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (16)

Optimal approximate designs for estimating treatment contrasts resistant to nuisance effects ⋮ Construction and optimality of nearly linear trend-free designs ⋮ A generating algorithm for linear trend-free and nearly linear trend-free block designs ⋮ On the existence of linear trend free block designs ⋮ A note on trend-free block designs ⋮ On the determination and construction of optimal designs for comparing a set of test treatments with a set of controls in the presence of a linear trend ⋮ On the construction of trend resistant PBIB designs ⋮ Trend resistant balanced bipartite block designs ⋮ A conversation with Ralph A. Bradley. ⋮ Optimal designs for mixed models in experiments based on ordered units ⋮ Strongly linear trend-free block designs and 1-factors of representative graphs ⋮ Optimal incomplete block designs for general dependence structures ⋮ Linear trend-free Box-Behnken designs. ⋮ On finding trend-free block designs ⋮ Trend-free block designs: existence and construction results ⋮ Some optimal sampling designs in the presence of polynomial trends

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