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Surprisingly popular

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Re: Surprisingly popular

#31
post #17

Let's look at another toy example, using made-up numbers: Q: Is the earth flat? Yes: 10% No: 90% Q: What do you think most people will respond to that question? Yes: 3% No: 97% Analysis: Yes: 10% - 3% = 7% No: 90% - 97% = -7% Conclusion: The earth is flat, I guess ;)

You could argue that “yes” is indeed a surprisingly popular answer to a question that should have 0 yes’s. However, the 7% margin probably isn’t considered significant enough to draw a conclusion on the real answer.

Re: Surprisingly popular

#32
post #17

Let's look at another toy example, using made-up numbers: Q: Is the earth flat? Yes: 10% No: 90% Q: What do you think most people will respond to that question? Yes: 3% No: 97% Analysis: Yes: 10% - 3% = 7% No: 90% - 97% = -7% Conclusion: The earth is flat, I guess ;)

Given how 10% of people responded "yes" and so few thought people would respond "yes," I would agree that "yes" is in fact surprisingly popular.

Re: Surprisingly popular

#33
post #30
post #17

Let's look at another toy example, using made-up numbers: Q: Is the earth flat? Yes: 10% No: 90% Q: What do you think most people will respond to that question? Yes: 3% No: 97% Analysis: Yes: 10% - 3% = 7% No: 90% - 97% = -7% Conclusion: The earth is flat, I guess ;)

I think this a fair criticism which you haven't well explained, that a minority expert might be minority misled .

That was left as an exercise for the reader :p

As you said, knowingly going against the consensus does not an expert make.

Re: Surprisingly popular

#34
post #9

It's an interesting heuristic, but without an exposition it's hard to know if there is any reason to believe it. Has this technique been assessed across various domains? Does it work better for political facts than for scientific facts? Where does it fail? It's a provocative article and a cool thought, but it seems more like a hypothesis. (In particular, I'm referring to the assertion at the end of the article: " Bec…

One of the wiki's sources might have been a better linked article. The MIT summary [1] notes "The researchers first derived their result mathematically, then assessed how it works in practice, through surveys spanning a range of subjects, including U.S. state capitols, general knowledge, medical diagnoses by dermatologists, and art auction estimates." Across all those areas, this technique had error rates about 20% l…

Awesome, thank you. And 'nacc found the link to the Nature article as well: https://news.ycombinator.com/item?id=20547787

Re: Surprisingly popular

#35

I see people mentioning whenever the answer is right or not, but that's actually irrelevant. The heuristic only measures how surprising the popular answer is to the population.

It's not presented as irrelevant in the article. The article presents it as "a wisdom of the crowd technique", and ends with "there can be high confidence that the correct answer is No".

So it is assumed that people using this technique could be inferring the correct answer by finding the surprisingly popular answer. Not just a observation about what the population thinks.

Re: Surprisingly popular

#36
post #17

Let's look at another toy example, using made-up numbers: Q: Is the earth flat? Yes: 10% No: 90% Q: What do you think most people will respond to that question? Yes: 3% No: 97% Analysis: Yes: 10% - 3% = 7% No: 90% - 97% = -7% Conclusion: The earth is flat, I guess ;)

A more realistic example of that would be:

Q. Is the earth flat?

    Yes: 0.1%
    No: 99.9%
Q: What do you think most people will respond to that question?

    Yes: 10%
    No: 90%
Analysis: Yes: 0.1% - 10% = -9.9% No: 99.9% - 90% = 9.9%

Conclusion: the earth is not flat.

Not sure where you're getting the "10% believe the earth is flat" from, but if that's just your guess then it's pretty reasonable for people to say they think 10% of people will respond yes to the question.

Re: Surprisingly popular

#37
post #12

The wisdom of crowds is a truly fascinating thing... the fact that people don't really need to know what they're talking about as long as there's enough of them really blows my mind.

The concept in the article is pretty much a counter example of that. It says that if there is a core part of the crowd that are expert on the topic at hand, and they answer differently from the crowd wisdom, there is a way to find out about it using a meta-question about the crowd wisdom itself.

Re: Surprisingly popular

#38
post #25

Have any political pollsters ever done this sort of question format?

You mean like this:

1. Who will you vote for?

2. Who do you think will win?

I don't know if we can learn anything from the surprisingly popular answer here, but now I wonder if question 2 would be a better predictor of the election result. But it will be tainted by previous polls and news.

Re: Surprisingly popular

#39
post #17

Let's look at another toy example, using made-up numbers: Q: Is the earth flat? Yes: 10% No: 90% Q: What do you think most people will respond to that question? Yes: 3% No: 97% Analysis: Yes: 10% - 3% = 7% No: 90% - 97% = -7% Conclusion: The earth is flat, I guess ;)

A more realistic example of that would be: Q. Is the earth flat? Yes: 0.1% No: 99.9% Q: What do you think most people will respond to that question? Yes: 10% No: 90% Analysis: Yes: 0.1% - 10% = -9.9% No: 99.9% - 90% = 9.9% Conclusion: the earth is not flat. Not sure where you're getting the "10% believe the earth is flat" from, but if that's just your guess then it's pretty reasonable for people to say they think 10%…

Works with creationism then.

But, interestingly, there may be a symmetry between people who overestimate the amount of creationists and creationists who underestimate their numbers.

So maybe that technique is actually valid. It spots an asymmetry in people who think the majority is wrong on something.

Re: Surprisingly popular

#40

I wonder if this could be viewed as an application of https://en.wikipedia.org/wiki/Dunning%E2%80%93Kruger_effect

Nope. That is overconfidence of the ignorant, and this is dealing with trusting the high confidence of the correct. It doesn't really matter here that people answered incorrectly.

I don't think so. It's not saying anything about how highly confident the correct are. It's about how they know that most people are incorrect. It's about misconceptions.

There is this core part of the unpopular-but-correct answerers that knows that the incorrect answer is popular. The larger this core part is, the higher the "score" of the "surprisingly popular" answer is. It's about finding something that is "mistakenly popular".

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