Is it one wriggly baby who extubated 4 times? Is it 4 babies? They still have not made anything clear! Either way, they are committing the fallacy of small numbers. This is when someone assumes that a tiny sample of data will reflect the overall average or “true” rate, even though small samples are usually noisy and unreliable.
In simple terms it’s like flipping a coin 5 times, getting 4 heads, and then loftily declaring “this coin must land heads 80% of the time!” You need to do many more flips before patterns become meaningful.
This is far too small a sample size to be of any statistical value. Far too small a sample to say ‘Empirically she’s either a terrible nurse or a killer for sure and that’s damning’ - it’s not!
At first glance, 36% vs 1% might look enormous. But look at what happens with such a small sample size if you add just one more extubation or one less:
- If Letby had 3 instead of 4 - 3/11 ≈ 27%
- If she had 5 instead of 4 - 5/11 ≈ 45%
- If she had 2 instead of 4 - 2/11 ≈ 18%
In other words, one case swinging either way changes the percentage massively. The percentages are very misleading because they jump all over the place with just a single event.
This is the kind of 💩 that was used against women in the witch trials. “Can it be a mere coincidence that today 4 pails of milk soured, when usually it’s no more than 1?! BURN GOODWIFE LETBY!!”
That’s what these dumdums just did. Who would ever want to be a nurse under these conditions? You better hope the Dr doing the intubations in your shift does them well or you’re getting dunked. Wriggly baby today? Best pull a sickie quick.
That line “someone who understands this data” is very slippery too. It is obvious that “someone” isn’t a statistician, so why not say what their “expertise” is? What part of “this data” do they understand? Because it isn’t the statistical value of it and they are in no position to declare that this is damning because we are not in the business of burning witches in 2025.