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Do you know Gmail Meter? This tool provides advanced Email Analytics & Statistics. Here's a specific version built for Google Groups to answer questions like:
How many posts got an answer ?
What's the average time before getting an answer? (especially useful if you're using groups as a support platform and have SLA to respect)
What are the most popular posts ?
And much more!
Note: this tool can't actually read the posts directly in Google Groups (because Google doesn't provide any API for that). You have to subscribe to the Group to receive all messages by email in a Gmail inbox and then you can activate this tool.
For example, we are using it to get advanced statistics on Google's own support forums, like Docs (docs@googleproductforums.com) and Sites (sites@googleproductforums.com)
To use this tool make a copy of this template.
Romain Vialard, November 2013
Ask to receive all messages from this group by email
Make a copy of the spreadsheet template and click on the menu Forum Statistics > Get a Report
Enter your Group email address
Select the type of report you want (monthly report or custom time range)
Wait a bit and you will receive the report by email