I have 4 factors to adjust to either a high set, or a low set. I set factor 1 (F1) high, collected my sample; i then set F1 low, and collect another sample; F2 - F4 is constant throughout; I have data now to do T-test to see if changing F1 results in significant sample difference.
I continue collecting samples for all factors adjusted at either High and Low level (while keeping other factors unchanged), for a total of 16 samples. I then can do a grand total of 32 T-tests!
The problem! How do i present T-test results (significant diff or not) graphically? Is it even possible?
How then should i present this data? Really a appreciate your advice!
You could start with a 4-cube, label the vertices by the corresponding factor settings (so that each of the four displacement directions corresponds to a factor axis), and thicken/color each edge by the $t$-statistics (since these should be intercomparable with this experiment design -- although I'd check that be ensuring that sorting the $t$s also sorts to the $p$-values).
I'd probably pick the diagram with two cubes displaced diagonally, with the corresponding vertices between the two cubes joined by edges. It's the fourth diagram here. Notice that the edge colors correspond to a factor change.