FYI- Neither the N.I.J. or FBI, to the best of my knowledge, keep records on the "specific type" of edged weapon used. You would be hard pressed to find something like that and even then it would be nearly impossible to determine if the material is fact based or mearly statistics and percentages.
From a personal background of nineteen years of combined military and law enforcement experience, I can tell you that in a normal society type enviroment (non-correctional) I have seen edged weapons used to be typical kitchen type knives. Most of the assaults were the results of domestic/family disturbances, as we all know these are very passionate, rage type attacks usually involving improvised weapons
(in other words, whatever is on the kitchen counter or in the sink...) The second most prolific edged weapon type that I see used is the human bite. You would be absolutely amazed at the mayhem and disfigurement that can be caused by a motiviated biting agressor. Other inprovised edged weapons I have seen used were shovels, hedge clippers and a ton of incidents involving broken bottles and glasses.
All very effective and dangerous.
I have a ciger box in my locker completely full of garbage folders,switchblades, and other piece of junk knives that I have taken off of suspects for whatever reason. The guy I find with the well made, high quality edged tool on his personis usually going to be a normal citizen with an interest in edged weapons, and or edged weapon combat or edged weapon topics, they are usually not the "bad guy" type.
The edged weapon society that is extremely dangerous is the motivated, sociopathic prison populations. They are well trained, have there own style of edged weapon or "shank" making techniques that they configure to be very concealable and highly effective. They teach each other how,where, and how many times to strike,stab,and slash their opponents and the damage inflicted is truely amazing. A razor blade broken out of the end of a disposable razor and melted into a toothbrush handle can inflict wounds on a full grown man's upper torso that you would not believe. I am talking hundreds of
stitches to close.
Sorry for the ramble, just my 2.5 cents