I am trying to determine what model to use when testing how an index sector performance changes as we go from environment 1 to environment 2. The environment is based on changes in inflation and is in different time periods. Originally I had thought to use DID to measure whether there are changes or not. But I don't think it is possible due to having different time periods that do not interlap with each other over-time so I cant use a control group ranging from year 1-10 and compare it to a treatment group of year 1-10. I am analyzing several sectors and thus have several dependent variables, my only independent variable is inflation which determines what type of environment we are in.
Any guidance would me much appreciated.