I slowly worked my way from being an AAn then dept coordinator to being a data analyst. I've always had a knack for data so when my data head told me to research something, I did - even if it wasn't my job to do so. Eventually, people stared looking to me to do data-type stuff but my position didn't really change until I left the company. But when I looked for new jobs, I highlighted the data analysis stuff I started at my other job and got hired as a systems analyst. Sbhikes is right - it's tough to change job perceptions at the same company. It was important that I got hired into a new company as a systems analyst (business analyst is also good). Just take the skills that match the job you want and apply for new jobs using those skills as your base.
Two years after working as a systems analyst, I got hired back into my old company at the Project Manager level for an IT group. The experience from the systems analyst company was key in getting hired. I now work from home 5 days per week doing IT project mgmt, but worked towards that from originally being a data entry person. Overall path took 6 years but well worth it. I love my job and really love working in IT and not dealing with the emotional upkeep of being in the admin position working in cubicles.