Tell me more ×  I'm trying to design an experiment where I
measure a variable as a function of 5 two-level factors,
labelled A, B, C, D and E.  I'm trying to understand how to best
design this experiment so I can conduct it in 8 runs. I've tried
to follow the guidance given in Box, Hunter & Hunter, and found
two experimental $2^{5-2}$ designs that seem to contradict each
others.  One is given in the table p. 272, where D=AB and E=AC.
That would yield the following design:   The other one is the
example whose table is given on p. 236, defined by D=BC and
E=ABC:   On what criteria should one choose one design over
another? Sorry if this sounds like a newbie's question, but I'd
really like to understand this issue.  share|improve this
question Is your response binary as well? or is it continuous?
what model or functional relationship between the measured
variable and the $5$ factors are you interested in estimating?
If you specify the goal of your experiment and what prior
information you have, you are much more