How could I compare the "intensity" of a gene signature between multiple microarrays? For instance, upon heat stress in yeast, ~300 yeast are up-regulated and ~600 genes are down-regulated. If I wanted to claim that the intensity of the heat shock response is greater at 42 than at 37, greater at 37 than at 35, greater at 35 than 33, etc... how could I do that?
It's better to add your comment to Neil's answer rather than start a new one because otherwise there's no connection between the two. That said, what's wrong with his answer? If the same genes are differentially expressed in 42 vs 37 and 37 vs 35, and they are differentially expressed in the same direction, that would seem to me to be an indicator of a more "intense" stress response.
Yes, this should be a comment, not a new answer. But now a discussion has started here, so I will leave it this time. The problem is your use of the phrase "intensity" of a gene signature". To most people, this implies the raw signal from the microarray. I understand your question but really, my answer stands. The correct approach to this problem requires statistical testing based on normalised array data.