Will multiple sites on one Google Analytics account get you penalized?

[stinky]

My sites were doing good but past month they started were bouncing around like crazy(1st page then 3rd page back and forth) everyday and last week they disappeared. Note, they do come up when I search there domain name.
Here is the interesting thing, the sites all shared one Google Analytics account with 14 websites in it. 10 of the sites were same category and 4 were totally different categories from each other. All sites are registered differently and diff ip addresses. Most of the websites are linking to each other (not all but some are) and all the websites had the same Google Analytics user account id number in there html (example, UA1234556-1 for 1st site, UA1234556-2 for 2nd site, UA1234556-3 for 3rd and so on).
I am trying to understand if google penelized one site, did they automatically just group all the sites together because they have same Analytics user account number and the fact that they may have linked to each other and were same category ? Even the 4 website that are different categories and not linking to each other are gone for keywords.
Note,mMany of the sites are over 4 years old and have many backlinks. I have recently deleted all interlinking links between these site and removed the analytics code completely.
Should I submit a google request reconsideration? Any advice on what else I can do? Did this happen to you? Any advice is greatly appreciated, thank you.

[Andy Langton]

Personally, I've never been concerned about connecting sites together within Google properties like Webmaster Tools or Google Analytics. I think it's pretty unlikely that this would be fed into the algorithm or be usable by organic teams at Google.

But that said, there are usually plenty of connections between sites that are run by the same person, all the way from toolbar data to Google search history. And the Google Analytics UA is present in the code of sites, and code is certainly open to evaluation by the algo. If you've ever searched for a Google Analytics UA in Google, you'll see how even third parties can connect sites in this way.

Google has a long memory too, and so interlinking doesn't necessarily die when you remove links, particularly if you have a site that is flagged for one reason or another.

From your description above, it seems there may have been multiple connections between the sites. So, one way of answering the question is to say, yes, Google does penalise collections of websites if it believes that they are all party to the same malpractice. But you won't get banned just for having the same UA number. Lend the number to someone with a stable site and I don't think they'll run into any problems ;)