6533b7d9fe1ef96bd126cb2c

RESEARCH PRODUCT

Optimal designs for a one-way layout with covariates

Rainer Schwabe

subject

Statistics and ProbabilityOptimal designMathematical optimizationClass (set theory)Applied MathematicsMathematicsofComputing_NUMERICALANALYSISMarginal modelCovarianceSymmetry (physics)CovariateStatistics Probability and UncertaintyAdditive modelEigenvalues and eigenvectorsMathematics

description

Abstract For the general class of Φ q -criteria optimal designs are characterized which reflect the inherent symmetry in a one-way layout with covariates. In particular, the eigenvalues of the covariance matrices are related to those in suitably chosen marginal models depending on the underlying interaction structure.

https://doi.org/10.1016/s0378-3758(99)00065-8