When I create small maximum entropy designs, I get unbalanced distributions for the variables. It's mostly regular and with some extra points at the ends; however, the lower end is sampled much more frequently than any other point. I have tried it many times and attached a few examples to this message. If needed, I can provide more.
![X1_Discrete.png X1_Discrete.png](https://community.jmp.com/t5/image/serverpage/image-id/44560iEA7C5C3D47E4BB79/image-size/large?v=v2&px=999)
As you can see from the screenshot above, -1 is sampled must more frequently than any other value. Even with a continuous distribution it's clear that the lower limit is sampled more frequently:
![X1_Continuous.png X1_Continuous.png](https://community.jmp.com/t5/image/serverpage/image-id/44561i24A319D43BDE708F/image-size/medium?v=v2&px=400)
However, it doesn't always happen. Unfortunately, in my experience, it happens more often than not. I have attached a few designs where the issue appears and disappears.
What we see of the real world is not the unvarnished real world but a model of the real world, constructed so it is useful for dealing with the real world. —Richard Dawkins