If someone could elaborate how this all fits together that would be great, because it does seem like there's some nuggets of insight to be found here
If someone could elaborate how this all fits together that would be great, because it does seem like there's some nuggets of insight to be found here
What experimental design brings to the table is a disciplined way to figure out what variables will be aliased and to make sure that these aliases are mostly harmless, either with the help of subject matter knowledge (you can taste sugar so it's fine if it's aliased with other things) or mathematically (let's try to avoid aliasing sugar content with fat content, but instead alias sugar content with the interaction effect of sugar, fat and flour type because that higher-order interaction is unlikely to matter over and above the first-order effects.)
Fractional designs in particular are typically used in agriculture and industrial settings, places where you want to try to optimize over very many factors at once but cannot afford to test every variation. It is not common in web analytics because (1) we usually assume that one particular change to a site or app will be independent of another change elsewhere, so there is no need to test them concurrently to see if a particular combo stands out and (2) if we did want to test combinations of variables concurrently, there's usually enough users or visitors to just test the entire grid and not worry about picking a selection of variations.