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Article:

Networking Tips to Land Your First Job

The Road from College to That First Job is Difficult -- So Let Us Help

But Not TOO Persistent

Q: What if you've checked in once and still haven't heard anything?

Pollak: If you don’t hear back from the second email, it’s probably not a great sign. If you’d like to give it one more try, a third follow up action is the last I would take. You can try another polite email, leave a voice mail message after hours (with a similar, positive follow-up comment) or reach out to the person on LinkedIn or Twitter if you know he or she is active there. 

In my opinion, three attempts is the maximum. You've given it your best shot and, unfortunately, not everyone is responsive. I believe employers should let you know if you are not getting a job you’ve interviewed for, but that doesn’t always happen. Hopefully you have a lot of irons in the fire and your persistence for other positions will pay off!