I'm stuck on this question and would appreciate any help!
Q: Given the partial defining relation I = -ABD = -ACE = BCF for a $2^{6-3}$ fractional factorial design, obtain the complete defining relation and the 8 treatment combinations that are used in this design.
My approach: Now I have gotten the aliases and I know that from the 3 words that we are given, we have the following words: $ I = -ABD = -ACE = BCF = BCDE = -ACDF = -ABEF$
Now here is where I run into trouble. When I am constructing the actual table (with 8 runs since $2^{3}=8$, I am not sure how I am supposed to figure out the levels of each factor since we are only testing 8 treatments compared to when we run the experiment where we test 64 treatments.
Any help would be very much appreciated! My textbook (Design and Analysis by Montgomery) did not explain very well how these levels are found.