A new efficient MEP.1 series for 2f factorial experiments

Main effect plus one plans (MEP.1) search for a non-zero interaction effect and estimate it in addition to estimate all main effects. A new series of MEP.1 with 2f runs has been constructed and given in this research for 2f factorial experiments for all odd prime power f≥9. Designs in this series are more efficient in estimating the factorial effects than the previous existent MEP.1 with the same number of runs based on D-efficiency criterion. In contrast to the former designs with 2f runs, the D-efficiency of new proposed designs is increasing in f.