Hi Team,
Need your help. I received this question from a professor who is teaching DOE.
4 factors: organic (A), packing(B), aqueous(C) and solvent(D). Professor has considered fractional factorial (resolution 4, no Blocks )with one replicate. (so 16 runs). He has also deselected the +/- in changing rules.

He also notes the negative aliasing because of I=-ABCD (for second fraction) and AB=-CD for instance. Here is the Aliasing Matrix.

Now he looks into Table of Correlations (as mentioned below)

He looks in to correlation between AB and CD. His argument is that the Should it not be -1? i.e. AB is exactly correlated with - of CD. However the table shows +1.
If I was ABCD (first fraction), then AB=CD and correlation between these two would be 1.
Professor is looking at reconciliation and trying to understand JMP here.
your input would be appreciated
Thanks
Murali