Analytics for Websites

Crazy Egg
one of the leading visualization software that gives website administrators reports on how visitors to their site use their pages. - See more at: http://www.datanyze.com/market-share/analytics/crazyegg-vs-inspectlet/#sthash.6wJrLonQ.dpuf
A leading visualization software that gives website administrators heatmap reports showing how visitors are using their pages.

Google Analytics
Detailed statistics about website performance and traffic sources and measures conversions.

InBoundWriter
Predictive analytics for content to improve SEO. Gives scores as to whether a topic you are about to write about will drive traffic and rank well on Google. Offers related keywords that should be included in the article, the words that should be included in the title, etc.  Free demo, then $200-$500 each month.

Inspectlet
Records video sessions of website users’ behavior. Heatmaps show what users find interesting on your site.

Majestic SEO
Find out how all the websites on the internet link to each other. Information about how the fabric of the web is knitted together--and what is connected to yours.

Open Web Analytics

Piwik
 
Positionly
Improves SEO by tracking your keywords and how well they are performing on the search engine result pages. 14 day free trial. Starting at $19 month.

Spinnakr 
Real-time web traffic response tool. Lets you post a targeted response on your website.