Can FDA provide specific examples of cases where statistical analysis is required and the type of statistical analysis needed?

The FDA stability guidance recommends analysis of data in accordance with
ICH Q1E, Appendix A. The flowchart in that guidance provides clear
situations where analysis is normally recommended or unnecessary. In
addition, ICH Q1E B.7 figures provide example diagrams for assay and
degradation products that illustrate how plots should be generated for the three
batches using regression lines and upper and lower confidence limits.