Some general results on the existence of trend-free and partially trend-free designs are given for both varietal and factorial experiments. In particular, trend-free properties of cyclic and generalized cyclic designs are investigated. It is shown that, for factorial experiments, certain designs which are not completely trend-free are nevertheless trend-free for estimating a subset of the main effect and interaction contrasts.
@article{1176348263,
author = {Lin, Meily and Dean, A. M.},
title = {Trend-Free Block Designs for Varietal and Factorial Experiments},
journal = {Ann. Statist.},
volume = {19},
number = {1},
year = {1991},
pages = { 1582-1596},
language = {en},
url = {http://dml.mathdoc.fr/item/1176348263}
}
Lin, Meily; Dean, A. M. Trend-Free Block Designs for Varietal and Factorial Experiments. Ann. Statist., Tome 19 (1991) no. 1, pp. 1582-1596. http://gdmltest.u-ga.fr/item/1176348263/