In the segment [Daylight Saving Time - How Is This Still A Thing?][1] of John Oliver's Last Week Tonight it is said:

>Studies say that there an increase in car accidents and work related injuries the week after the time change. 

Is an increased amount of accidents after the daylight time saving a fact that's well established by studies?

  [1]: https://youtu.be/br0NW9ufUUw?t=1m58s