Abstract
For p two-level factors, designs comprising full replicates with runs in blocks of size two are investigated. The minimum number of replicates for estimation of all main effects and two-factor interactions is established and a construction method is developed based on replicate generators. Complete design classes are given in the minimum number of replicates for p ≤ 15. Designs in full replicates are used as root designs to obtain designs in fractional 2p‒r replicates, again to estimate main effects and two-factor interactions, and designs are recommended for p = 4; . . . ; 15. Guidance is given on design construction when only a subset of the interactions are of interest.