In this video, we continue the prior video by considering the effect of confounding. That prior video was all about the technical details behind confounding. We know that confounding can confuse us, but I'll show you how some knowledge about our systems can be used to recover useful information. But first, right at the beginning of the course, remember how I always asked you to think how each factor might impact the outcome? Now you are going to see why I made you do that. Consider the case where we are treating water and we have three factors. The first is the chemical added to treat the water, the second is temperature, and the third is stirring speed. A full set of experiments would require 8 runs, but if I can only afford 4 or 5 experiments, I should run a half fraction. My higher experience with the system might lead me to believe there will be no significant interaction between temperature and stirring speed. I would like to get a good eof (estimate of the effect) of the chemical factor added. Remember the premise that chemical Q was twice the cost of chemical P. In that case, I don't want the effects of the chemical to be confounded with other effects in the system. So, if I would like this good eof of the chemical added factor, by that I mean I don't want it to be confounded with other large effects, a natural choice is to use the interaction between any other two factor interaction (temperature and stirring speed) in this case with the chemical effect. Now, when I plan my experiments, I could rather assign A as the temperature, B as the stirring speed, and factor C as the chemical factor. C can be set as A...
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