Force Science Institute published The Naive Shooter from a Law Enforcement Perspective: Hit Probability, a study that identifies the problem with shooters that remain at novice skill levels.

The real risks during deadly police shootouts:
Accuracy of the naive shooter
http://www.forcescience.org/articles/naiveshooter.pdf

Force Science News #280:
Eye-opening study suggests deep flaws in academy firearms training
http://www.forcescience.org/fsnews/280.html

By actual test, an average police recruit completing academy firearms training is only marginally more skilled in shooting than a person who has never shot or even held a firearm. The study found that personnel completing military or police handgun instruction and passing qualification enjoyed a mere 13% improvement over complete novices. Between groups labeled “expert”, “intermediate”, and “novice” there was no effective difference in skill between the identified groups.

Force Science Institute executive director Dr. Bill Lewinski said, “[R]esults indicate an alarming need for improved firearms training for officers,” because despite being academy graduates and passing mandated firearm qualifications the new officers “were a mere 13%” more accurate than novices in shooting at distances where a high proportion of officer-involved shootings occur. What these statistics appear to imply is that officer firearms training is not extensive enough and occurs too sparsely for officers to gain, and maintain, the expert level of accuracy with their service weapons that is expected of them.”
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