A possibility is the Google Analytics for Mobile devices implementation.
Devices that do not support JavaScript would not normally be able send analytic data to Google. In this case Google provide alternative server-side implementation samples. See http://code.google.com/apis/analytics/docs/mobile/mobileWebsites.html
In this case if you have access to change the code or extend your web application you could send only the information you want to Google. This will obviously require you server to initiate a connection to Google which may induce load and should be carefully secured.
This design was not the intended for web clients that support JavaScript so you should verify that it does not violate Google’s service terms.