Is this a typo? Or are left-handed people way, way more likely to suffer from these rare diseases?
Is this a typo? Or are left-handed people way, way more likely to suffer from these rare diseases?
P(A) = 0.001
P(B|A) = 0.5
P(B) = 0.1
P(A|B) = P(B|A)xP(A)/P(B) = 0.5x0.001/0.1 = 0.005 = 0.50%
So the chances of having Downs given being a lefty is 1 in 200, or which is 5 times higher than the base rate, but still quite rare. It's probably more a case of "having developmental abnormalities interferes with handedness" rather than "being a lefty predisposes you to having sundry developmental abnormalities".
Left-handedness is unusual, but not per se pathologic. There is a running joke among neurologists that the average neurologist is a left-handed person with migraines. They aren't all, of course, but if you had chronic headaches and were left-handed, wouldn't that predispose you to pursuing a specialty where you try to figure out what's going on in brains? I majored in chemistry; it's not a huge stretch to imagine why I became an anesthesiologist. It's interesting, and it makes some intuitive sense. We tend to be more of the "analyst" personality; former engineers and accountants are not rare in anesthesia.
So how is this not inversing cause and effect:
> Or are left-handed people way, way more likely to suffer from these rare diseases?
> Halpern and Coren took a list of the people who had recently died and contacted their families, asking whether or not their relative had been right- or left-handed.
> Looking at 2,000 cases, they saw that the average age at death of the left-handers was about nine years younger than of the right-handers.
> On that basis, they concluded that left-handers died earlier.
> At first glance, that seems persuasive. What did the researchers do wrong?
> "Their mistake was that they only looked at the dead," Chris McManus explains.
> The point is that left-handers are more common now than they used to be, so - at least at the time the research was published - left-handers were on average younger than right-handers.