Hi,
Can DoE be used where factors can not be changed independently? In the illustrative example attached, we want to maintain a response when changing the scale of manufacture from 21 L to 21 m3. To do this we need to establish which mixing factor to maintain. The effect of maintaining each mixing factor can in turn be assessed on an intermediate scale (as shown in the table), but the act of changing scale means this is at the expense of all the other factors changing. That is to say, the interdependence of the factors means that on changing scale, a maximum of only one factor can be kept at the same value as the small scale.
The table attached shows one way of doing this.
Is there a better way?
More generally, can DoE handle factors that can not be varied independently?