The Statistics Module compared to Google Analytics
2.) Google must be added manually to the pages and some pages may not have the Google notification code correctly embedded
3.) Google has sophisticated page hit analyzation software which aggregates user visits. Accrisoft has simple statistics tracking, and no sophisticated roll-ups
4.) Accrisoft statistics typically include administrative (Blue, Green) access as well.
5.) Accrisoft's raw stats are 100% accurate; it's really all in the way the data is interpreted. However, Google probably does a better "real-world" job of making the stats human readable.
6.) Many people making a good living interpreting and tweaking website statistics; there's real magic behind most of this. In the end, the most value information gained from user statistics are percentage trends over time.