I am very new to design of experiments concept. I would like to design an experiment to understand the relationship between input parameters like amount of various ingredients, cooking temperature, time of cooking, etc. vs. the quality of a cake to be baked.
Assuming that all input parameters are continuous and range bounded, and the quality of the cake to be assessed by an expert from a scale of 1-5 stars, is the best sampling strategy for input parameters uniform over their ranges?
My understanding is that the uniform sampling helps us collect information regarding the entire function space. However in this experiment I am interested in figuring out the best inputs in order to achieve 5-star quality cakes. Therefore is there a better sampling strategy than uniform?