an:05956015
Zbl 1235.62110
Tyssedal, John; Kulahci, Murat; Bisgaard, SÃ¸ren
Split-plot designs with mirror image pairs as sub-plots
EN
J. Stat. Plann. Inference 141, No. 12, 3686-3696 (2011).
0378-3758
2011
j
62K15 62P30 62K99
alias structure; Plackett-Burman designs; projective properties; restriction on randomization; screening designs; two-level designs
Summary: We investigate two-level split-plot designs where the sub-plots consist of only two mirror image trials. Assuming third and higher order interactions negligible, we show that these designs divide the estimated effects into two orthogonal subspaces, separating sub-plot main effects and sub-plot by whole-plot interactions from the rest. Further we show how to construct split-plot designs of projectivity \(P\geq 3\). We also introduce a new class of split-plot designs with mirror image pairs constructed from non-geometric \textit{R.L. Plackett} and \textit{J.P. Burman} designs [Biometrika 33, 305--325 (1946; Zbl 0063.06274)]. The design properties of such designs are very appealing with effects of major interest free from full aliasing assuming that third and higher order interactions are negligible.
0063.06274