Here is a very common example. If you want to determine the amount of carbon black filler in the rubber, you would use nitrogen atmosphere. The carbon black won't burn off, and by using the correct temperature profile, you can find out how much was added. Ditto with oils, etc.
If you want to find out what inorganic fillers were added, you use air. The polymer and different additives burn off at different temperatures. You can often track the additives by the weight difference between the temperatures, as they burn off. And the final weight will tell you the amount of filler (clay, zinc oxide, etc.) present.