As I understood it, resilience doubles or increases greatly, your statues MAXIMUM health and the health you currently have.
For example, let's say, the statue has 100 health normally at maximum, not upgraded. You took some damage, you have 64/100.
You buy resilience, and it increases 100 to 150. That's a 50% increase. Well that would increase the 64 to 96 (Just a guess really).
Also, I don't know, for a fact, that it doubles, that was always just my guess.
Yeah resiliance is very good because so many Order user just spamm speartons and rush at your statue. Personally i am a Chaos user and to beat them dude i get resilience and get like 4 giants 1 Medusa, 2 tower dead's and Eclipsors. I always beat them when they do this :p