Furthermore, whilst maximin (S)LHDs have optimal space-filling properties in the full 𝑝dimensions of a design problem and uniform 1-d projections, their space filling properties in lower-dimensional projections, 2, . . . , 𝑝 -1, can be poor. Projection (MaxPro), with equal computational cost to the Morris & Mitchell Mm LHD criterion, was proposed, which ensures good projections to all the subspaces of the factors . This method was further extended as MaxProQQ to work with both quantitative and qualitative factors , as required for formulations design.