Two-Level Multifactor Designs for Detecting the Presence of Interactions

摘要: A design optimality criterion, tr (L)-optimality, is applied to the problem of designing two-level multifactor experiments detect presence interactions among controlled variables. We give rules for constructing (L)-optimal foldover designs and fractional factorial designs. Some results are given on power these testing hypothesis that there no two-factor interactions. Augmentation produces achieve a compromise between criteria D-optimality (for parameter estimation in first-order model) (L)-optimality detecting lack fit). an example demonstrate application sensitivity analysis computer model.