This problem is solved, but I wanted to post this here in case anyone runs into something similar. After I installed GeoIP, hits to my site were no longer being recorded.
Looking at my error_log file:
[Tue Apr 14 04:38:25 2009] [error] [client 68.78.2.xxx] PHP Fatal error: Allowed memory size of 33554432 bytes exhausted (tried to allocate 42846919 bytes) in /var/www/vhosts/ammonow.com/httpdocs/stats/plugins/GeoIP/libs/geoip.inc on line 317
Edit /etc/php.ini and change this line:
memory_limit = 32M
to something more reasonable, like:
memory_limit = 64M
Also, my countries were showing like this:
Instead of the actual country. Hopefully this fix will address that also!