Statisticians like me say CORRELATION ISN'T CAUSATION but that's not the whole story.

There are at least FOUR different scenarios!

A thread. 🧵
1. CORRELATED BY CHANCE. There's always a possibility that variables will correlate by chance. If you have a lot of data, you're almost certain to get a few high correlations. You will know you're in this situation if the same variables are much less correlated in new data.
2. CORRELATED DUE TO STRUCTURE. Clocks are correlated with each other but there's nothing about Clock A that can be changed in order to cause a change in Clock B or vice versa. There is no third thing you can change that will cause both clocks to change. There is no causation.
You might be tempted to say that the clocks have the common cause of being created by humans. Imagine two random stars that have a cyclical change in brightness every 24 hours. They will be correlated as well. It's not about who created them. It's about their similar structure.
3. MURKY CAUSATION. In the simplest case, if A and B are correlated and there is some causation then this could mean that A causes B, B causes A or some third thing C causes both A and B. In the most complex case, there could be complicated feedback loops between A and B.
In these cases, when we say "correlation isn't causation", what we mean is that we can't identify exactly what kind of causation there is but there is some.
4. EVEN MURKIER CAUSATION. A and B might not be related at all in the real world but something about your data collection may have caused data about A to be related to data about B. Technically, you could say you or your data collection are the cause of the correlation.
However, in the context of the original variables themselves and the real world, A is not causally related to B.

Hope this was educational! 🧵

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More from @kareem_carr

Nov 11
Here is a problem I see with modern liberalism: if you tell a certain kind of liberal that there are two kids drowning and that they can only save one, they would immediately declare that they can save them both, and then act completely surprised when both drown shortly after.
If that same liberal could magically go back in time with all the knowledge of what had happened, that person would do the exact same thing again, and then be just as surprised when both kids drowned for the second time.
It's very hard to say we must sacrifice this one good thing for the sake of this other good thing and remain a liberal in good standing.
Read 4 tweets
Nov 10
People are getting the wrong end of the stick here. Nobody stopped her from experimenting on herself. The hold up is on *publishing* the results.
Here's the quote from the article Image
It's an experiment with exactly one person, no controls, and where multiple procedures were tried.
Read 6 tweets
Nov 9
I honestly get a lot of value out of ChatGPT. It feels built for people like me. I find identifying and correcting its mistakes pretty easy because I'm used to grading student assignments, but I also do things that minimize mistakes like:
I input:
- examples of past solutions to similar problems
- a high-level sketch of the solution to the current problem
- background information if needed
- warnings about any potential complications or pitfalls
For instance, if I want ChatGPT to do a certain kind of computation, I might:
- do a sample calculation by hand on a piece of paper
- get ChatGPT to read the piece of paper and translate it to LaTeX
- tell ChatGPT to study the calculation and extend it to the new situation
Read 10 tweets
Nov 5
This Musk meme speaks to something true which is America is splitting culturally between the college educated vs the non-college educated.

There is however a third group. People who went to college but who think and act like people who didn’t. Image
Basically you have these people who went to elite schools like Harvard or Stanford or Yale, who have law degrees and doctorates in many cases, telling the non-college educated that there’s no point to college because it’s not great job training.
I’m no historian but I don’t think an education was historically about job training. People apprenticed with tradesmen for that. Education was about being acculturated into the superstructure of your civilization. It taught you what humans had done so far and your place in it.
Read 7 tweets
Oct 24
there is clearly a force or mechanism that causes the US electorate to balance at precisely 50% democrat 50% republican no matter what either candidate says or does.

if i was a social scientist, i would be absolutely obsessed with this.
my economics brain says maybe it's that each party is more extreme than the general electorate and is only willing to concede the minimum number of policies necessary to win which is exactly 50% + 1 vote.

this leads to a powerful finetuning mechanism on both sides.
my political science brain says that the fine tuning actually happens at the gerrymandering level. Same drive to stop at roughly 50% + 1 once you've gerrymandered enough seats.
Read 4 tweets
Oct 18
For every ten likes, I'll post a new unhinged mathematician quote. Image
if it's you or logical consistency, you know which one they're picking. Image
technically a physicist quote but i'll allow it Image
Read 6 tweets

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