Thank you very much Bryan.
You have understood the nature of my question, though I am still uncertain of how to set this up in the software. For them to display correctly (just the video), I believe I would have to set this up as one factor, with 8 levels - with each level corresponding to a video. How then do I analyze this as a three-factor solution, each with 2 levels (even though this was set up as a one-factor, 8 level design in the software)? Is there a way to specify this post-study, during the analysis? Or do I need to set this up differently? I am expecting main effects and some first-order interactions to be significant, so I would like a model to take this both into account.
Additionally, I will have too many combinations to create videos for all unique possibilities. For instance, let's assume I have 5^3 possible combinations (125), but would like to limit the number of unique combinations shown to users to (25), due to constraints in making unique videos. Is there a way to specify a design matrix with this constraint using your software? Or, would I need to reduce the number of factors/levels by combining some of them? It seems like some factors/levels would be correlated regardless, and these options might be effectively similar.