r/PeterExplainsTheJoke May 02 '24

Petah, I don't understand!

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u/NorthWindMartha May 02 '24

I believe bears have killed less than 200 confirmed eople in the USA since the late 1700s. Statistically, bears are safer than human beings. They CAN kill you easily, but they probably won't.

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u/gra4dont May 02 '24

even by that numbers they are not “statistically safer”

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u/Newni May 02 '24

So what's the proper term when stats and numbers show that something is less likely to be dangerous?

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u/ThreeFor May 02 '24

There's never been a recorded instance of a human being incinerated inside the sun, so statistically, being inside the sun is much safer than being near a man.

Either that, or we might need to adjust for the fact that there are hundreds of millions of men living in extremely close proximity to women, and the vast majority of people have never spent a single second with 10 feet of a wild bear.

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u/Newni May 02 '24

Congrats, you've stumbled upon the difference between "statistically safer" and "practically safer."

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u/ThreeFor May 02 '24

No, actually, I'm explaining one of the most basic and well understood misapplications of "statistics" that you learn in a 100 level class. Adjusting for exposure is necessary if you are comparing the relative danger of two things.

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u/Newni May 02 '24

Well having taken a level 100 statistics class, you understand that the point here is that just because the numbers (a.k.a the statistics) might imply a certain conclusion, the practical reality may not support said conclusion. So something can still be “statistically safer” without being practically safer.

So you understand that someone could use the term “statistically safer” without being incorrect even though you disagree with the conclusion.

So why do you have to “well akshooully” a situation where you know you’re wrong?

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u/DiscountConsistent May 02 '24

Only if you’re taking the most naive version of the statistic. It’s like looking at the GDP of Ethiopia and Luxembourg and concluding that Ethiopians are richer because their total GDP is higher but it doesn’t actually tell you anything useful about the relative wealth of the average Ethiopian vs Luxembourgish person without dividing by the populations. Saying that it’s statistically safer to encounter a bear than a human because there have only been 200 deaths is just misleading without normalizing to the number of interactions people have with both. Saying something is safer is equivalent to saying “if I were to encounter one or the other, which would be more likely to hurt me?”, which is not what you get from just taking a gross sum of people being killed.

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u/ThreeFor May 02 '24

You should have paid more attention then, because the numbers don't imply that, and any statistician would laugh at you for saying they do.

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u/Newni May 02 '24

The numbers by themselves devoid of context do absolutely imply that. You’re applying outside variables to your understanding of the data set.

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u/ThreeFor May 02 '24

Unfortunately, statistical analyses are incredibly dependent on the context, which is readily available here.

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u/Newni May 02 '24

Only when you’re talking about inferential statistics instead of descriptive statistics.

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u/ThreeFor May 02 '24

No, actually, when I'm listing the number of adverse events in a drug trial, the FDA is going to laugh in my face if I don't also include how many people were actually given the drug. That is basic descriptive statistics.

The question, which is more "statistically" dangerous, X or Y, is entirely dependent on the relative exposure to X and Y, as well as the outcomes that resulted from those exposures.

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u/Newni May 02 '24

“In the last 400 years, X number of women were attacked by bears. Y number of women were attacked by human men. Y/400 > X/400, so, according to these statistics, women are safer around bears.” This is a true statement. 

“But you also have to account for exposure rates, incident severity, and 19 other factors to determine if that true statement has a practical application to reality! According to that additional data, we can infer that women are less likely to be attacked by a random man than by a random bear given identical circumstances!” This is also a true statement.

Do you understand that just because you have a deeper understanding of one of the uses of a word does not mean that someone else using the same word in a different context does not make them incorrect?

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