I recently did this with DS who is 15 mo. Worked well within a couple of nights. 13 mo can be a tricky time (another blasted growth spurt) so if it doesn't work leave it a few weeks.
We did this:
Stick DS in cot, stands up and yells (him not me). Say goodnight and leave.
Return after 2 mins (subsequent nights 5 mons). If still yelling, pick up and cuddle (not strict CC method) till quiet, put down and leave.
Leave for 2 mins extra each time, so first night was 2 mins, 4 mins, 6 mins, 8 mins, 10 mins (then he was asleep).
I couldn;t stop him standing up, so just left it till he fell asleep. First night he fell asleep sitting up with his head resting on the side of the cot! He has since learned to lie down .
Night 1, few wakings
Night 2: woke at 11ish (when we went to bed, cot still in our room), 3ish, 7 for the day
NIght 3: same
Last night (after a week): 1 brief waking at 3am
I didn;t have to pick him up for any of the middle of the night wakings, as he settled dimself within a few mins. It was great for us as previously he was waking every 2 hrs at least for a feed (was co-sleeping).