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More than half of adults in U.S. say they lack basic statistical understanding

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Re: More than half of adults in U.S. say they lack basic statistical understanding

#201
post #92

Earlier quoted context omitted.

I’d recommend reading “How to make the world count” instead of a work of a morally bankrupt guy who used the very same tricks he criticized to discredit the cancer studies of tobacco usage.

I suppose you mean the book "How to Make the World Add Up" of Tim Harford?! :-)

Busted! Yes indeed!

Re: More than half of adults in U.S. say they lack basic statistical understanding

#202

Earlier quoted context omitted.

I think almost everyone threw a dice quite a few times while playing board games.

Maybe people would have a better understanding of percentages if 20-sided dice were used more. "This has a 95% chance to succeed" -> roll a d20, anything but 1 is a success Meanwhile 6-sided dice don't map to nice numbers, and having two dice makes the maths even harder to intuit

I think 1/2 and 1/3 are quite nice as far as numbers go! Also 2/36 = 0.5555... is not that far from 5%

Re: More than half of adults in U.S. say they lack basic statistical understanding

#203
post #130

I was having a conversation with my dad about how if a virus had a 10% death rate it would be terrifying. His reply was that 10% was nothing, that means you've got 90% chance to survive. Then said you've probably got a 10% chance of being hit by a bus every time you cross the road. Just absolutely no idea what probabilities are at all or ability to extrapolate probabilities from real world lived experience.

the short story The Pill plays out a world full of people who reason similarly, among many other things. https://escapepod.org/2022/11/03/escape-pod-861-the-pill-par...

Re: More than half of adults in U.S. say they lack basic statistical understanding

#204

Earlier quoted context omitted.

Maybe people would have a better understanding of percentages if 20-sided dice were used more. "This has a 95% chance to succeed" -> roll a d20, anything but 1 is a success Meanwhile 6-sided dice don't map to nice numbers, and having two dice makes the maths even harder to intuit

I think 1/2 and 1/3 are quite nice as far as numbers go! Also 2/36 = 0.5555... is not that far from 5%

But (assuming two dice rolled at the same time) 2/36 is something like "roll a five and a six" or "roll either a pair of sixes or a pair of fives". Neither of which is quite as intuitive or commonly used in game design as "using one d20, roll a natural 20"

Re: More than half of adults in U.S. say they lack basic statistical understanding

#205
post #31

> How much do you understand about statistics and p-values? I suspect that it’s far far less than 38% of people who actually understand statistics to this level. I suspect if someone on HN went around and asked their co workers to explain what a P value is in 2 sentences, it would be less than 10% of a (presumably) highly educated workforce. I suspect about 40% of adults are unable to tell the difference between mean…

In my experience, a not insignificant chunk of students actively in a stats class think that a p value is the probability of the null hypothesis. My money is on more like 3% of educated professionals.

If you asked me for the definition of p value I could give it to you but if you asked me what it meant before this thread I would have said the same thing as you’ve said here.

Re: More than half of adults in U.S. say they lack basic statistical understanding

#206
post #56

>> found that 62% of respondents reported no or limited statistical knowledge The other 38% didn't understand the question...(my extrapolation) I did a couple semesters of statistics at uni. And I can confidently say that the number of people who can answer 3 simple questions on statistics (like say mean versus medians, confidence levels or margins of error) is, well, a rounding error from 0. Indeed, statistically, n…

> mean versus medians, confidence levels or margins of error It's basic when you are attending an undergraduate course but most people can understand mean (as a dictionary might generically define it) and have a general feeling for margin of error (again, not in the mathematical way.) Statistics has been the most difficult course in my CS course. For some reason when I start counting events to get a probability I fin…

With large sets or sequences of numbers approaching almost infinity, counting as a method of determining how large things are ... doesn't work well as you found out. To determine if ginormous set A is larger than ginormous set B, you have to do things like matching-pairing. For every element in set A, pair it with an element of set B; if you exhaust all of the elements in B but still have elements in A... then set A is larger than set B.

To formulate the probability of B happening, for example, you have to make an educated guess. Create a functional equation that map A (all possibilities) to B (desired possibility). Then you make a ratio-fraction with the equation in the numerator and set A in the denominator. Using Algebra, try to eliminate references to A in both the numerator and denominator to give you an educated guess of what the probability is.

Re: More than half of adults in U.S. say they lack basic statistical understanding

#208

Been saying it for years. Basic probability theory should be taught in schools, it's a strong tool for understanding the world around you.

You mean it isn't taught where you are? That's bizarre, it was part of the curriculum when I was in high school in England in the early 1970s!

Re: More than half of adults in U.S. say they lack basic statistical understanding

#209
post #188

Earlier quoted context omitted.

Cue prediction markets etc. There are mechanisms to aggregate this and have a wisdom of crowd effect.

I'm not very familiar with how they work. Don't prediction markets give the individual gambler a boolean choice and this results in a picture of the split over the population ? There's no granular option for the individual to bet 40% vs. 60% for something happening, the vote with 100% confidence that Spain wins the World Cup, they don't give 85% chance of winning.

The way to express a 85% confidence is to size your investment accordingly. For example, if the market is at 75%, then you buy yes-shares until the price is at 85%. If the market is at 90%, then buy no-shares instead until the price is down to 85%.
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