Well my favorite "stat" service is one my brother and I wrote -- http://www.mapvisitors.com This places a pushpin on a Microsoft Virtual Earth map for the most recent 250 visitors. It's still in active development so if you immediately see something you like or don't like or have suggestions please post on the blog -- http://news.mapvisitors.com The programmer's house burnt up and there was some disruption in our plans but he has moved into a new house and will have an internet connection again soon. Eric
Myself I wouldn't bother with putting a "Visitor Stats Counter" on your site... If you want to track visitors these would work just as well... A very Good & Free way to keep track of your visitors and all your Stats for your Blog. Feedburner Stats (new) http://blogs.feedburner.com/feedburner/archives/2007/01/a_360_degree_view_of_audience_1.php Google Analytics http://www.google.com/analytics/index.html Track your Visitors and get visitors http://www.mybloglog.com/
StatCounter gives lots of details like refereing url, keyword analysis, time spent, country and many more. I will recommend you to use StatCounter.
I'd have to agree its StatCounter. It provides everything a budding website needs, and if your site is a lil' big gathering lots of hits a day, then paying monthly is also not a bad idea. If yours is a big site, and you don't want to pay, then I'd say Google Analytics is excellent. You can also setup goals to monitor conversions and more. Perfect for a business or e-commerce site.