When other people click onto your story they'll see 2 boxes at the top,
VIEW and OUTLINE
When the author does this she'll see three of them
VIEW, EDIT and OUTLINE
The middle box is obviously the one you want.
If you don't see it, maybe this is because you're still listed as NEW AUTHOR
But one your stories are credited to your name within a day or so
you should see the EDIT mode box.

Or at least I think that's how it works,
~Veronica