Whoa - hang on a tick - the Cheshire police stat of 97% is allegedly the % fatally injured cyclists not wearing a helmet. The TRT 85% figure is allegedly the reduction in fatal accidents caused by wearing a helmet. They are, of course, both probably wrong. But they are estimates of different quantities so surely can't be compared.
This is
not the point I'm making. It is always a good idea to do some quick back of the envelope calculations to check whether the numbers seem reasonable. A sanity check, if you will. The Cheshire police number implies a 33 fold reduction in fatal injury in wearing a helmet. Or, considering a hypothetical population of 1000 cyclists of whom 100 have fatal accidents, 50% helmetted, the rest not, this 97% stat, to be consistent, must mean 97 of those weren't wearing helmets - that's a rate of 19.6% whilst the rate in the helmetted group is 0.6%. Which gives a 33 fold difference between groups. Of course, that differene becomes smaller as the nonhelmetted cohort increases. The rate is identical for both groups when the helmet wearers are 3% of the total cyclist population - and that's far below the actual percentage of those who wear helmets in the UK. (I am assuming that the accident rate per unit distance is identical for both cohorts.)
But even allowing for that, the TRT study reported less than a seven fold decrease - this is a very large discrepancy between the data. That alone ought to be enough to set alarm bells ringing. Were I, during the course of my work, to generate two data sets with such a large discrepancy between them, I'd immediately suspect
both sets. In fact, I'd go back and check all the underlying assumptions and the model I was using - and check, if I could, by generating a
third set of data by another way.
Here I've used the dataset that's already the most consistent with the Cheshire stat - a set we already know to be of dubious provenance. Even so, it still fails this most basic of sanity checks - badly. That can only lead to the conclusion that the 97% figure is very much suspect.