I think whether amplification will help depends highly on what is causing your signal problems.
For me, I get a lot of channels, but with lots of cut outs/ digital artifacts. I'm under the impression that this is caused by interference. I've found that amplification does nothing to help me. We're making it work, even in an apartment on the "garden level" near a major roadway, but it does get frustrating sometimes.
If you know the channels are there, and you aren't getting anything, then amplification might help. This is more likely if you are far from the signal in a suburban or rural area than if you are in an urban area.
To check, maybe go to radio shack/ best buy and buy an amplified antennae and try it out. And keep the receipt and be prepared to return it if it doesn't help.
This is just from my experience, so if someone who actually understands the technical side has suggestions, I'd be happy to try them as long if they can be done without mounting something outside.