I will try and answer this as good as possible, as it's a strange question :)
The reason I say it's strange is they are not really related and trying to find a co-relation to compare is tricky.
Google Analytics- Typically used to track web behavior. Provides a nice UI and is typically digestible by non-technical people (marketing etc) to find insights.
Hadoop - Hadoop at its core is a file system (think of a very large hard-drive), it stores data in a distributed fashion (on n number of servers). It claims to fame is map/reduce and the plethora of applications like Hive or Pig to analyze data sitting in Hadoop.
A better comparison to the products you mentioned would be something like:
- Why would I use Google Analytics vs Comscore? (web analytics)
- Why would I use Hadoop vs Postgres? (data storage and data analyses)