This paper considers main effects plans used to study m two-level factors using n runs which are partitioned into b blocks of equal size k = n/b. The assumptions are adopted that n ≡ 2 (mod 8) and k > 2 is even. Certain designs not having all main effects orthogonal to blocks were shown by Jacroux (2011a) to be D-optimal when (m − 2)(k − 2) + 2 ⩽ n ⩽ (m − 1)(k − 2) + 2. Here, we extend that result. For (m − 3)(k − 2) + 2 ⩽ n < (m − 2)(k − 2) + 2, the D-optimality of those designs is proved. Moreover, their D-efficiency is shown to be close to one for 2(m + 1) ⩽ n < (m − 3)(k − 2) + 2, indicating their good performance under the criterion of D-optimality.
@article{bwmeta1.element.doi-10_1515_bile-2016-0009,
author = {\L ukasz Smaga},
title = {A note on the D-optimality and D-efficiency of nonorthogonal blocked main effects plans},
journal = {Biometrical Letters},
volume = {53},
year = {2016},
pages = {119-131},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_bile-2016-0009}
}
Łukasz Smaga. A note on the D-optimality and D-efficiency of nonorthogonal blocked main effects plans. Biometrical Letters, Tome 53 (2016) pp. 119-131. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_bile-2016-0009/