I have a pretty major update for one of my articles.
It has to do with Justice Jackson's comment that when Black newborns are delivered by Black doctors, they're much more likely to survive, justifying racially discriminatory admissions.
We now know she was wrong🧵
So if you don't recall, here's how Justice Jackson described the original study's findings.
She was wrong to describe it this way, because she mixed up percentage points with percentages, and she's referring to the uncontrolled rather than the fully-controlled effect.
After I saw her mention this, I looked into the study and found that its results all seemed to have p-values between 0.10 and 0.01.
Or in other words, the study was p-hacked.
If you look across all of the paper's models, you see that all the results are borderline significant at best, and usually just-nonsignificant, which is a sign of methodological tomfoolery and results that are likely fragile.
With all that said, I recommended ignoring the paper.
Today, a reanalysis has come out, and it doesn't tell us why the coefficients are all at best marginally significant, but instead, why they're all in the same direction.
The reason has to do with baby birthweights.
So, first thing:
(A) At very low birthweights, babies have higher mortality rates, and they're similar across baby races;
(B) At very low birthweights, babies have higher mortality rates, and they're similar across physician races.
Second thing: Black infants tend to have lower birthweights.
MIxed infants tend to birthweights in-between Blacks and Whites, and there's a mother effect, such that Black mothers have smaller mixed babies than White mothers (selection is still possible)
(A) Black babies with high birthweights disproportionately go to Black doctors;
(B) The Black babies sent to White doctors disproportionately have very low birthweights.
If you control for birthweight when running the original authors' models, two things happen.
For one, they fit a lot better.
For two, the apparently beneficial effect of patient-doctor racial concordance for Black babies disappears:
At this point, we have to ask ourselves why the original study didn't control for birthweight. One sentence in the original paper suggests the authors knew it was a potential issue, but they still failed to control for it.
PNAS also played an important role in keeping the public misinformed because they didn't mandate that the paper include its specification, so no one could see if birthweight was controlled. If we had known the full model details, surely someone would have called this out earlier.
Ultimately, we have ourselves yet another case of PNAS publishing highly popular rubbish and it taking far too long to get it corrected.
Let me preregister something else:
The original paper will continue to be cited more than the correction with the birthweight control.
The public will continue to be misled by the original, bad result. PNAS should probably retract it for the good of the public, but if I had to bet, they won't.
So people like Justice Jackson will continue to cite it to support their case for racial discrimination.
They'll continue doing that even though they're wrong.
The idea is to put large, powerful animals like bulls or lions in the ring with several dogs, and the winner lives.
The sport has existed for thousands of years. One of our first records is of Indians showing it to Alexander the Great.
The first record in England comes from 1610 and features King James I requesting the Master of the Beargarden—a bear training facility—to provide him with three dogs to fight a lion.
Two of the dogs died and the last escaped because the lion did not wish to fight and retreated.
For one, there's no supportive pattern of sanctions. For two, you can develop in near-autarky, and before post-WW2, that was comparatively what the most developed countries were dealing with.
I'm not talking fatalities, but bites, because bites are still a bad outcome and any dog who bites should be put down.
If we take the annual risk a dog bites its owner, scale it for pit bulls and Golden Retrievers, and extrapolate 30 years...
How do you calculate this?
Simple.
First, we need estimates of the portion of the U.S. population bitten by dogs per year. Next, to adjust that, we need the portion of those bites that are to owners. So, for overall dogs, we get about 1.5% and roughly ~25% of that.
Then, to obtain lifetime risk figures, we need to pick a length for a 'lifetime'. I picked thirty years because that's what I picked. Sue me. It's about three dog lifetimes.
P(>=1 bite) = 1-(1-p)^t
It's pure probability math. To rescale for the breed, we need estimates of the relative risk of different dog being the perpetrators of bites. We'll use the NYC DOHMH's 2015-22 figures to get the risk for a Golden Retriever (breed = "Retriever" in the dataset) relative to all other dogs, and Lee et al. 2021's figures to get the risk for a pit bull. The results don't change much just using the NYC figures, they just became significantly higher risk for the pit bulls.
To rescale 'p' for b reed, it's just p_{breed} = p_{baseline} \times RR_{breed}.
Then you plug it back into the probability of a bite within thirty years. If you think, say, pit bulls are undercounted for the denominator for their RR, OK! Then let's take that to the limit and say that every 'Black' neighborhood in New York has one, halve the risk noticed for them, and bam, you still get 1-in-5 to 1-in-2.5 owners getting bit in the time they own pit bulls (30 years).
And mind you, bites are not nips. As Ira Glass had to be informed when he was talking about his notorious pit bull, it did not just "nip" two children, it drew blood, and that makes it a bite.
Final method note: the lower-bound for Golden Retriever risk was calculated out as 0.00131%, but that rounded down to 0. Over a typical pet dog lifespan of 10-13 years, an individual Golden Retriever will almost-certainly not bite its owner even once, whereas a given pit that lives 11.5 years will have an 18-33% chance of biting, and if we use the DOHMH RRs, it's much higher. If we use the DOHMH RR and double their population, that still holds.
The very high risk of a bite associated with a pit bull is highly robust and defies the notion that '99.XXXX% won't ever hurt anyone.' The idea that almost no pit bulls are bad is based on total fatality risk and it is a farcical argument on par with claiming that Great White Sharks shouldn't be avoided because they kill so few people.
Frankly, if we throw in non-owner risk, the typical pit bull *will* hurt some human or some animal over a typical pet dog's lifespan. And because pit bulls live a little bit shorter, you can adjust that down, but the result will still directionally hold because they are just that god-awful of a breed.
Final note:
Any dog that attacks a human or another dog that wasn't actively attacking them first should be put down. That is a big part of why this matters. These attacks indicate that the dogs in question must die.