What are the advantages of free range eggs?

Proponents of eggs from free-range chickens state that the eggs have higher levels of good fats (omega-3s) and lower levels of bad fats (saturated fats, cholesterol, etc.). There are also claims that the eggs have higher levels of trace nutrients such as vitamins and minerals.

However, I have not seen scientific backing for these claims so this is not proof-positive that free range chickens lay healthier eggs. I have eaten eggs that my parents raised on their farm and can tell you that they tend to have more taste to them.