Bigfoot is believed to inhabit the forests of Northwest America, and if that's the case would surely leave evidence of its existence all over the place, such as hair, blood, faeces. Expeditions to the areas thought to be the home of the creature could collect hundreds of biological specimens which could be analysed to find out a) if it's a species new to science and if so b) what are its closest relatives - could Bigfoot be a missing evolutionary link?
There have been DNA tests conducted on specimens believed to have come from a Bigfoot but nothing conclusive has turned up.
In 2001 the DNA of a hair sample from a tree in Bhutan was analyzed as it was thought by some that this could've come from a Yeti. What was interesting about the subsequent research was that the scientists who conducted the DNA tests found traces of DNA, but they couldn't say where the genetic material had come from. To them it was neither human nor was it from a bear, or any other creature known to science. Of course that is actually no proof that the hair came from a large ape-like creature. There is just no way of saying at the moment.
In 2008 Bigfoot DNA analysis centred on the remains of an ape-like animal that was supposedly found in the woods of Georgia. Two hair samples were tested but the results were negative for those wanting proof that Bigfoot was alive and well. One of the samples was human and the other opossum. So Bigfoot failed the DNA test. It then turned out a few days later, as was reported widely by the press, that the Bigfoot 'corpse' was actually a gorilla costume.