monk, your picture shows, DEATH BY HANGING, and Keat your picture shows HANGED UNTIL DEAD.
DEATH BY HANGING occures when the KNOT is put to the side of the neck and this snaps your neck or can decapatate the person.
HANGED UNTIL DEAD, the KNOT is put at the back of the neck and you die a slow suffocating death. Takes 3 to 5 minutes.
I pick that Saddam is HANGED UNTIL DEAD.
Who said that there are two types of hanging? The Death By Hanging is the intended method, with the knot to the side. However, unskilled hangmen can goof. If the knot slips, strangulation is the method of death, and that's why Hanged by the Neck Until Dead is put in. It's not that they are intentionally different methods--it's just one statement covers the unforseen.
There actually is a lot more about this topic in the literature recently, and it's amazing how detailed the memoirs of famous hangmen were.