As you've no doubt learned, work experience is vital. My first break came when, after many knock-backs, I applied for a job that I thought was "beneath" my skills/ salary expectations. I wasn't in the post long before my new employer realised what I was worth and I was soon promoted. It's very hard to convince people of your worth without having credentials to back-up your abilities (I'm afraid academic qualifications alone are insufficient). You might consider volunteering (charities will welcome analytical support) to build-up your CV.

The general rule for job searching is to keep your options open - keep thinking of alternatives. If you can't find work in statistical/ analytical businesses then apply for analytical jobs in other industries.

Keep your chin up, and don't let the rejections grind you down!

Let me know how you get on...