One person is practicing a skill and achieves a score every time they practice. They practice every day for 30 days. What statistical test would be appropriate to determine whether their score has improved over time?
If there is a positive significant trend in the score there is improvement. For simplicity let the trend be the least squares linear trend. If positive then test for the significance of the coefficient of regression by t-test. If significant then there is improvement.
I currently have less than 30 data points, so for now I'll use a non-parametric test, as Zuhair suggested. I expect I'll increase to approximately 40 over the next few weeks, so I'll use a t-test after that.