The men's size large seem to be just what was needed.  They are a little bigger than we needed; I may try a medium next time for a women's size 7 with edema. The nonskid is better on these than other socks I've purchased on Amazon.  They do go all the way up the calf; I'm not sure if they are supposed to be worn that way or folded over to the ankle.  My guess is whichever way you prefer.