Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1150065 | Journal of Statistical Planning and Inference | 2007 | 9 Pages |
Abstract
Rechtschaffner designs are saturated designs of resolution V in which main effects and two-factor interactions are estimable if three-factor and higher order interactions are negligible. Statistical properties of Rechtschaffner designs are studied in this paper. Best linear unbiased estimators of main effects and two-factor interactions are given explicitly and asymptotic properties of correlations between these estimators are studied as well. It is shown that designs recommended by Rechtschaffner [1967. Saturated fractions of 2n2n and 3n3n factorial designs, Technometrics 9, 569–576] are not only A-optimal but also D-optimal. Comparisons of Rechtschaffner designs with other A- and D-optimal designs of resolution V are also discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xianggui Qu,