I shall briefly discuss the need for selective inference in scientific data analysis of large and complex problems. Some examples of such problems with hierarchical structure in Genomics and Brain research will be given. I shall discuss available and new approaches, one of which relies on testing the equality of two multidimensional groups as a building stone, a problem to which Prof. Hsu contributed. However, in current problems the dimension is often higher than the number of observations, so new methods are needed. I’ll present our (yet unpublished) suggestion in this area.

Yoav Benjamini [Tel Aviv University]