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The reason some of us are sceptical on the value of helmets is that we have looked at some of the so-called "research" and found it wanting, in some cases to the extent it seems actually dishonest and intented to justify a position
I personally was an early adopter of helmets long before they were really a thing for leisure cyclists, and thought it "commons sense" and "obviously" a considerable safety benefit. Reading stuff on a similar forum I started to look into it. Here are some examples
The now notorious Rivera Thompson Rivera study which, from memory, indicated a huge reduction in head injuries. The trouble was they'd done something along the lines of comparing nice middle class helmeted kids riding in parks and leafy suburbs with unhelmetted inner city kids riding unsupervised on busy roads. Helmet wearing was also associated with a significant reduction in leg injuries. The result was therefore no surprise once you spot the error. In fairness at least one of the authors has acknowledged the flaws and distanced himself from the conclusion. Less honourably organisations like RoSPA used the result in their campaigns long after it had been discredited, arguably they were outright lying "think of the children" after all.
Another example was an Australian study which compared the proportion of head injuries vs other injuries pre and post helmet compulsion, which, fair enough seemed to show a reduction in head injuries indicating a benefit. I was half convinced until I saw the dates chosen did not correspond to introduction of compulsion (wearing rates went from 10% to 95% or whatever) but some different set of dates which looked to me like they'd been cherry picked to get the desired answer
Another recent study, I think in the UK did something similar then rather glibly happened to mention there was a correlation between drunk cyclists and not wearing helmets and also surprise surprise a correlation between drunken cycling (and for that matter drinking i. general) and head injury. The conclusions ignored this rather significant question which looked to me just as bad as the Rivera Thompson Rivera flaw. Also there does not seem to be a campaign for beer drinking helmets which might actually do some good. I half seriously argued this with a doctor friend who angrily shouted down my skepticism of cycle helmets.
Another study on the opposite side showed little to no benefit (maybe a small worsening) pre and post compulsory helmets in Australia and Ontario, but did indicate a reduction in people cycling. You'd have thought this would be considered relevant by the advocates but seemingly not
Another thought: it is worth remembering that an awful lot of doctors are not really all that numerate. I'm not saying this as an insult, but remember most doctors, unless they specialise in statistical analysis will not have studied maths beyond O level (or whatever it is). Typically doctors will have A levels in physics chemistry and biology and won't have time to do maths as well, and arguably maths is less important for their future study. This doesn't mean docs aren't clever people by and large but there is a tendency for genuine experts in one field to thing they know more than they do in another, especially if "common sense" is involved
I'm not a statistician and have studied very little stats but the flaws above seem blatant to suggest very poor grasp indeed by some of the authors
Another fairly simple fag packet calculations suggests a helmet makes your head into a 50 to 100% bigger target (cross sectional area not diameter remember). This too will obviously (and I think "obviously" is really justified here) have an impact (pub intended). You only have to turn a proportion of near misses or glancing blows into actual hits and you could potentially cancel out the benefit of a helmet for "legit" hits. I had such an incident where my head missed the ground by maybe the width of a helmet ! If I'd been wearing one I might well have been arguing on here it had "saved my life"
Not really fact, but I suffered a broken neck as a result of my head hitting the ground after a non fault rta. Spine specialist described the vertebrae damage as due to head being forcibly shocked to the side during impact. I wasn't wearing a helmet, but imagine I had been and my head was actually forced further by the extra inch or two of polystyrene...... Could have been in a wheelchair now?
It's all a bit random, which is why we need the statistics to back up helmet use. DOES WEARING A HELMET REDUCE THE CHANCE OF LIFE CHANGING INJURIES? I have posed this question many times and also Google searched quite extensively since my big rta incident and still failed to find a conclusive answer. The lack of definitive results leads me to believe there aren't any.