http://www.amazon.com/Dark-Room-Other-Scary-Stories/dp/0064440907
this is the one i remember most. i remember being so sad when i heard the story "the green scarf" (at least i think that's what it was called?)
this book is probably what really inspired my brother to become a horror author.
The Green Ribbon from: https://www.amazon.com/Dark-Other-Scary-Stories-Reading/dp/0064440907
No, but the "Jenny and Alfred" version is also by Alvin Shwartz, who wrote those. The book mentioned in the article above (and likely the one OP remembers) is this one.
Scariest thing I read. I was 7 though and I was reading it at the mall as my mom was shopping.
Remember this one too? It also scared the bejeesus out of me.
http://www.amazon.com/Dark-Room-Other-Scary-Stories/dp/0064440907