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There are a couple of modules for EPiServer out there, but they're more for displaying Google Analytics reports inside EPiServer or working with the Google Analytics API (displaying the top 5 pages etc).
When it comes to the functionality you're looking for you'd need to add event tracking codes yourself. How many hours they spend on each page is already available in Google Analytics.
Here's a little introduction to Google Analytics Event Tracking with jQuery.
Hope this helps.
Frederik
Is there a google analytics-like tool in EPiServer? We are currently using Analytics with one of our sites but we want more data for reporting.
Like how many users are logging in? And while logged-in how many hours do they spend on each page. And when do they log-in? As far as I remember, data like this can easily be retrieved from a DotNetNuke site.