StatsFish
When it comes to collecting and analyzing web statistics, there are a number of commercial and free tools available on the market.
Let's take a look at the most popular free analytics tools.
Google Analytics (www.google.com/analytics/)
Google Analytics is a service offered by Google that generates detailed statistics about a website's traffic and traffic sources and measures conversions and sales. The product is aimed at marketers as opposed to webmasters and technologists from which the industry of web analytics originally grew. It's the most widely used website statistics service. The basic service is free of charge and a premium version is available for a fee.
Google Analytics can track visitors from all referrers, including search engines and social networks, direct visits and referring sites. It also tracks display advertising, pay-per-click networks, email marketing and digital collateral such as links within PDF documents.
Piwik Analytics (piwik.org)
Piwik is a free and open source web analytics application written by a team of international developers that runs on your own webserver.
Piwik displays reports regarding the geographic location of visits, the source of visits (i.e. whether they came from a website, directly, or something else), the technical capabilities of visitors (browser, screen size, operating system, etc.), what the visitors did (pages they viewed, actions they took, how they left), the time of visits and more.
Open Web Analytics (www.openwebanalytics.com)
Open Web Analytics (OWA) is open source web analytics software that you can use to track and analyze how people use your web sites and applications. OWA is licensed under GPL and provides web site owners and developers with easy ways to add web analytics to their sites.
Besides classical tracking features, OWA comes with built-in support for tracking a user’s entire “in-page” experience including mouse movements, scrolling, and key-presses as domstreams that can be later played. OWA offers both Javascript and PHP trackers and supports e-commerce tracking, campaign tracking and action tracking.
Yandex Metrica (metrica.yandex.com)
Yandex.Metrica is a free tool for measuring website traffic and analyzing visitor behavior and the effectiveness of advertising. Yandex.Metrica helps you increase the conversion rate and lets you monitor the key effectiveness indicators of your website, analyze user behavior, and evaluate the efficiency of your ad campaigns.
Clicky Web Analytics (clicky.com)
Clicky is real-time traffic intelligence for your website. With Clicky enabled, you will understand where your visitors are coming from, how they interact with your site, and to some extent who your visitors are. Accurate logs of every visitor and click on your website combined with advanced segmentation and analysis tools help you make prudent decisions and ultimately control the destiny of your website.
Clicky is designed to be the easiest web analytics service you've ever used. Services like Google Analytics do everything except take out the trash, but you probably don't know what any of the data means. With Clicky, everything just makes sense.
AWStats (www.awstats.org)
AWStats is a free powerful and featureful tool that generates advanced web, streaming, ftp or mail server statistics, graphically. Data is visually presented within reports by tables and bar graphs in easy to read web pages.
Designed with flexibility in mind, AWStats can be run through a web browser or directly from the operating system command line. Through the use of intermediary data base files, AWStats is able to quickly process large log files, as often desired. AWStats is free software distributed under the GNU General Public License.
And if this list is not enough and you want some more, please take a look at the extensive overview of analytics tools here: http://en.wikipedia.org/wiki/List_of_web_analytics_software