All of the data collected is based on reported injuries correct? I have never reported the times I have come of my bike and hit my head as there was no need to. I am not alone in this. That skews the data surely?
It does but not in a way that helps your and david k's beliefs. Either your accidents would not have produced head injuries worthy of reporting anyway or the helmet changed what would have been a head injury into no head injury.
The ones where nothing would have happened anyway we can ignore because they will be unreported either way. For the others, when you double the number of helmet wearers as happens when mandatory laws are introduced, then you are going to convert a large number of what would have been reported head injuries into non-reports. i.e the number of reported head injuries will drop.
The fact that no drop is seen indicates that conversion process is not happening i.e. the new helmet wearers saw no decrease in their number of head injuries despite them all wearing helmets for the first time. As before, there are two options. Either head injuries are not decreasing because helmets are doing nothing that changes the outcome or they are causing people to have more accidents which compensates for the lower percentage of accidents which caused a head injury.