The large white glumes of Avena fatua are persistent after the seeds (florets) fall out. In fact, the florets usually hang down under the glumes, allowing them to drop easily. These glumes make the plant easy to recognize even after seed dispersal. A happy plant will grow about waist to shoulder high.
As I started studying grasses, I confused Wild Oats with Achnatherum hymenoides (Indian Ricegrass, silly me) when I saw them in seed as I drove by. Each grows beside roads. The Indian Ricegrass plant is similar in size to Wild Oats. Both plants have persistent white glumes, but the glumes of Indian Ricegrass are much smaller and of different shape than those of Wild Oats.