Nick Mihailovsky gives a detailed explanation of how to use Google Analytics for Android apps and for tracking mobile websites. To get started, or examine the options, look at Google's code API Site
Since Android is a Google product, the Android SDK is set up to integrate very well with Google Analytics. As a result, Mihailovsky uses the Android SDK as the example for what analytics properties can be used in native apps (Android and iOS).
For an Android app, it's possible to track the following using the Android SDK:
Nick Mihailovski is a Sr. Developer Programs Engineer at Google and oversees Developer Relations for Google Analytics. He has a passion for bridging the gap between business requirements and technical capabilities and works with F500 clients to develop innovative measurement solutions.
Nick has worked in the Web Analytics industry for over 6 years. He started his career building websites, then working at Urchin Software and now Google. Nick currently holds an B.S. in Computer Science and a minor in Math from University of California, Riverside.