| > Isn’t there just as much chance for bias if the treatment is voluntary? I'm not quite sure what you're asking here. If you're wondering if voluntary opt-out of colonoscopy carries risk of bias, then I'll say the following: it's an intervention that is painful, intrusive and time consuming. No reasonable person would get one absent demonstrated benefit. Pick a thing where people are reasonably likely to do it as default behavior (eating chocolate, say), and the intervention is to abstain from doing the thing, then you'd be right to ask that question. I imagine people who voluntarily abstain from chocolate are pretty different in substantial ways than people who have to be coerced to do so. But people who don't get a colonoscopy when not pestered to do so are just...normal. > I see what you’re saying - the overall effectiveness of our current system may be low because of a low rate of voluntary adoption of the colonoscopy is low, and even a lower accuracy screen could be more effective if more people opt in. Not quite. I'm saying that this study did the fairest possible test for effectiveness of colonoscopies, and the effect sizes they found were on par with the genetic tests (to be clear: they didn't actually make this comparison in the RCT; I'm extrapolating from other studies.) The evidence presented here is not that the genetic tests are a "lower accuracy screen", it's that colonoscopies are likely not better than genetic tests. That's very different. |
But if we insist on measuring demonstrated benefit by factoring in participation rates, then it’s a catch-22. What if given a prior distribution of 100% opt-in, colonoscopies are effective? And you ignored my question about what if we made colonoscopies more convenient, less intrusive and time consuming, which is becoming possible with new tech. These things can change the participation rate, which in turn can flip the outcome from little demonstrated benefit to high and conclusive demonstrated benefit.
> this study did the fairest possible test for effectiveness of colonoscopies
“Fair” is a subjective term, and it depends on what question you’re asking. I agree with your statement if the question is how effective is the current system of recommending colonoscopies. It’s not the fairest test of how effective a colonoscopy screen could be if everyone shows up for the screen. Colonoscopies might be not better than genetic tests because participation rates for genetic tests are higher, as opposed to colonoscopy screening being less effective on their own.
I understand your point that the total probability is important. But so is understanding the Bayesian factors, it’s equally enlightening and important to separate and understand the effectiveness of the screen given participation, from the likelihood of participation. And you effectively cemented how important this point is by clarifying that people use knowledge of these outcomes in order to choose whether or not to participate, so framing them incorrectly can and likely does lead to unnecessary loss of life.