Harvard University is offering a free 5-week on-line course on Statistics and R for the Life Sciences on the edX platform. The course promises you will learn the basics of statistical inference and the basics of using R scripts to conduct reproducible research. You'll just need a backround in basic math and programming to follow along and complete homework in the R language.
As a new course, I haven't seen any of the content, but the presenters Rafael Irizarry and Michael Love are active contributors to the Bioconductor project, so it should be good. The course begins January 19 and registration is open through 27 April at the link below.