Computing D-Optimal Experimental Designs for Estimating Treatment Contrasts Under the Presence of a Nuisance Time Trend
We prove a mathematical programming characterization of approximate partial D-optimality under general linear constraints. We use this characterization with a branch-and-bound method to compute a list of all exact D-optimal designs for estimating a pair of treatment contrasts in the presence of a nuisance time trend up to the size of 24 consecutive trials.
KeywordsTime Trend Moment Matrix List Open Exact Design Good Linear Unbiased Estimator
The research of the first author was supported by the VEGA 1/0163/13 grant of the Slovak Scientific Grant Agency.
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