Designs of Variable Resolution Robust to Non-negligible Two-factor Interactions

Oregon Convention Center 

In some experimental situations, there is a natural grouping of factors. Prior knowledge may indicate that active two-factor interactions only occur within groups of factors. Designs of variable resolution (Lin ,2012) were introduced for such situations. However, main effects from one group in a design of variable resolution may be aliased with non-negligible two-factor interactions from another group. In this talk, we introduce robust designs of variable resolution which ensure main effects are robust to non-negligible interactions that occur within groups of factors. Constructions are provided for a number of situations and connected to other recent designs.