From his article:
Media carries with it a credibility that is totally undeserved. You have all experienced this, in what I call the Murray Gell-Mann Amnesia effect. (I refer to it by this name because I once discussed it with Murray Gell-Mann, and by dropping a famous name I imply greater importance to myself, and to the effect, than it would otherwise have.)
Briefly stated, the Gell-Mann Amnesia effect is as follows. You open the newspaper to an article on some subject you know well. In Murray’s case, physics. In mine, show business. You read the article and see the journalist has absolutely no understanding of either the facts or the issues. Often, the article is so wrong it actually presents the story backward—reversing cause and effect. I call these the “wet streets cause rain” stories. Paper’s full of them.
In any case, you read with exasperation or amusement the multiple errors in a story, and then turn the page to national or international affairs, and read as if the rest of the newspaper was somehow more accurate about Palestine than the baloney you just read. You turn the page, and forget what you know.
Of course it's also possible I only remember the times they get it wrong, and I don't notice the many times they get it right when writing about something I know something about, leading me to underestimate the paper's accuracy.
I'm sure somebody somewhere is willing to make up a name for that effect too.
A reporter might be good or bad at covering each topic, which leaves us four cases to consider. If they're bad at physics, they could be a specialist in Palestine, but they could also be generally incompetent; Gell-Mann has no way to tell. If they're good at physics, they could just be talented reporters, but they could also be physics specialists who don't know Palestine any better than Gell-Mann does. And once again, he has no way to tell.
Even probabilistically, we could argue for either approach. Most people aren't experts in more than one thing, and it's easier for an expert than a random fool to garner attention for a baseless claim, so perhaps we should especially distrust good physics writers on Palestine. But incompetence is broadly correlated, and journalism skills apply to both topics, so perhaps we should view bad physics writing as a sign of weak fundamentals and distrust it everywhere.
(I'm talking about reporters instead of papers, but we can push the argument back a level easily; editors have to hire reporters for fields they don't know.)
Going alone, all I can see to do is to look for people who claim to specialize in a few things, one of which you know well, and trust them on their other specialties. As a society, we can perhaps do better by asking a bunch of experts who's competent in their domain and looking for alignment - provided we can all correctly agree on some experts in advance.
edit: a bit of searching suggests this is basically Berkson's Paradox. If we (boldly) assume that news sources which are bad on all topics don't circulate, then quality in one area lowers the expectation of quality in other areas.
If they do a poor job of selecting a physics expert, then it seems likely that they will do a poor job of selecting other kinds of experts as well.
Honestly though, I'm not sure I'd call it a bias in your observation so much as a sensible assessment of sources. A source that's right about 90% of topics is still misleading you quite often. And even worse, a source that's 90% accurate about each topic can leave you almost totally ignorant; there are a lot of stories where the entire message can be destroyed by any one of numerous errors.
(And of course, there's a pithy name for that too. "O-ring theory", after the Challenger shuttle disaster, describes phenomena where everything has to go right, so the failure chance at each step is multiplicative.)
The end effect is that I tend to double check just about any source, but I still have a handful of sources that I have strong reason to believe their motives are compromised on various topics where I expect their motive to conflict with the motive to tell the truth. It's still not great though because sources rarely move up in this system and frequently move down, which leads in a general inability to find information considered trustworthy. This works fine on things where there is a general consensus because I'll be able to find a varied set of sources saying the same thing, but not so great on hotly debated topics with lots of nuance. Also sometimes my brain is lazy and I don't do any of this processing because I'm an imperfect human.
Confusion of the inverse is the assumption that the probability of A given B is equal to the probability of B given A. In symbols, the fallacy is falsely assuming P(A|B) = P(B|A). You have to use Bayes' Theorem to convert from a conditional probability to its inverse:
P(B|A)⋅P(A) = P(A|B)⋅P(B)
(P→Q,Q)→P
It happens often when people have a limited consideration set of possible causes, often due to a natural degree of ignorance or lack of experience relating to the subject matter area, e.g., a small child sees a wet sidewalk and assumes it rained, because they aren't yet aware of sprinklers (or garden hoses, etc.)
(If rain→wet sidewalk, wet sidewalk)→rain
The title alone might be clumsily restated as:
(If amateur endurance athlete→rich, rich)→amateur endurance athlete
E.g. it may be true that most criminals in an area are of a certain race; that says nothing about the probability of a single person of that race being a criminal. Same with Islamaphobia–even if most acts of terrorism were performed by Muslims (which isn’t even true!), that’d say nothing about the likelihood that a randomly chosen Muslim person you meet is a terrorist.
Edit: changed likelihood to probability
You blindly draw a ball from the bag; do you know anything about the likelihood of that ball having property X? You now inspect it and find it’s green. Do you now know anything different about that likelihood? If I offered you “pay $100 to win $900 if you drew a property X ball, with the option to double your wager after seeing the color”, you would be happy indeed to see that you’d drawn a green ball and would double your wager.
Regardless of the colors, ratios, and desirability of property X, it seems to me like you do know something new about the likelihood after learning the color.
It also seems to hold if there are 300 million balls, 10 balls with property X, and 3 of those are green, just at a strong cause to believe “this specific ball does not have property X” overall (such as the case in the people examples you gave).
- Nearly all murderers are men.
- Bob is a man.
- Therefore Bob is probably a murderer.
There's obviously a problem there. The population of murderers is an infinitesimal fraction of the male population. While you can say its more likely that any given male is a murderer, than any given female, its not really useful for making judgements about individuals.You are mixing logic and probability.
"its not really useful for making judgements about individuals." is not equal to "tells you nothing"
Sticking with medical examples, the first matters for "does this guy have this disease?" The second matters for "how many doses should we order?"
Or, more controversially, "how many of the doctors we train today will still be working in 30 years?" Which came up as a question regarding the increasing proportion of women in medical school. And many people were loudly offended that this might be something to take into consideration. Because they read it as the first kind of question, "will this individual...". But that's different.
Sometimes testing positive on a fairly accurate test for a very rare condition means you are still more likely to not have the condition, and even Doctors sometimes screw that logic up.
Knowing that this very rare disease affects 1 in 10_000 men, and 1 in 100_000 women, doesn't tell you that much about how to perform diagnosis on any one individual. But it does tell you accurately that the male ward probably needs 10x as many beds as the female ward.
Statistics are hard. At least for me.
Edit: also I wasn’t trying to respond directly/refute your comment. Just chiming in with a related concept.
Then we know what mix of coffins to load on the UN plane. But as a doctor on the ground, after your 99% accurate test comes back, you certainly need more information, and knowing the sex of the patient is not much help. The doctor, and the guy loading the plane, are asking very different questions.
Only if you're given the marginal probability ahead of time ;-). Marginals are usually intractable to compute, and people tend to vastly underestimate them. Priors have a similar issue: base rates for a lot of "interesting" conclusions are often really, really low (which is, in a way, why we'd be interested in estimating the posterior!).
Let's estimate the most controversial thing possible: P(criminal | black guy) = p(black guy | criminal) * p(criminal) / p(black guy).
Problem is, the prior (in all the cases I've checked) is lot smaller than the marginal (there's usually at least two orders of magnitude difference!), so even a seemingly high likelihood "washes out" in the posterior.
(In statistics, the likelihood is the probability of the data conditional on the hypothesis, so in this case the probability of being of a certain race given that one is a criminal.)
Let's say we have a group of 1000 animals: 900 rabbits and 100 foxes.
We also know that there are about 10 crimes happening every year and for every crime there's 50% chance of it being committed by a fox.
Then according to Bayes' formula:
P(fox is a criminal) = P(criminal is a fox) * P(animal is a criminal) / P(animal is a fox) = 0.5 * 0.01/0.1 = 0.05 = 5% chance for every given fox to be a criminal.
For every given rabbit the same formula gives 0.5 * 0.01/0.9 which is roughly 0.6%.
Nevertheless, if you want to find a kangaroo in a wild, heading to Australia, would probably be your best bet.
Incels have killed more people than Islamic extremists in the US in the last decade.
Research says drug usage rate is similar for black and white people in the US, but prosecution and conviction rates are not[1]
1. http://www.hamiltonproject.org/charts/rates_of_drug_use_and_...
// Assuming the police are not incompetent, of course, which may not hold in your hypothetical world where they investigate non type X people for terrorism even though they commit zero percent of terrorist attacks - probably out of some misguided diversity quota or affirmative action policy, I assume? ;)
99,999, not 999 innocents and 1:100,000, not 1:1000 (making your point stronger)
> There's a 0.001% chance of finding a terrorist per random sampling.
However, you have to remember that this is an anecdote - you don't want to throw people into boxes they don't fit.
Huh? If 10% of purple people in an area have been incarcerated, and you select one individual from the purple people population of that area at random, the odds are 10% the individual you selected will have been incarcerated. That's fundamental to how sampling works.
Instead, the situation is that 90% of those incarcerated are purple. You can’t draw any meaningful conclusions from that without knowing the number that you were referring to: what percentage of purple people that makes up.
It's basic modern media literacy to ignore the headline of the article.
Cause, you know, correlation and causation and all that.
I'd rather think that if you can run a 100K, you have the mind to overcome amazingly hard situations, and to keep trying, again and again, being in the game for a long time. Which increases your odds of success, so bigger probability to get rich in the end.
I know people who stop pursuing whatever it is they want at the first signs of discomfort or adversity. They want the good things to just happen them, and they rarely do.
I do know some people like what you're talking about too, but then again I know some people who are big into endurance sports but aren't really go-getters in other spheres either ...
Same. Although I suspect for a lot of them it's because go-getting in other spheres would impact on their ability to do the running and they're happy in their situations as they are.
My running commitment amounted to something less than ten hours per week. Now according to Wikipedia, the American average for TV watching in 2017 was about 28 hours/week. I have no idea what it was in 1982, but at even half the rate, I spent less time running than my average fellow citizen spent in front of the tube.
Time watching TV is not time spent sitting "in front of the tube". People cook, eat, clean the dishes, iron clothes, play with their kids, while the TV is on. If you are running, you can't be doing anything else.
Also, some of my running time amounted to commuting: knock 45 minutes off the 90 minute run. Running can be a social activity. Those who care to can run listening to their iPods (then, Walkmans). Etc.
Not being rich isn't the same thing as being poor, or being blue collar. Most of us being knowledge workers, have advantages beyond earning power.
Hades, not hadeys.
> According to the Census Bureau, the average wealthy household (defined by the IRS as the top 20% of income earners in the US) worked five times as many hours as the average poor household. The cause? Single-parent households and high unemployment among poor households. [0]
Although I imagine they may spend less time doing household chores or running errands
[0] https://www.businessinsider.com/common-myths-about-rich-peop...
I'm married, my wife and I work fairly typical 40-45 hour weeks. So, 80-90 for the household.
My son is single. He works the same 40-45 hours. But, by the metric above, my household works twice as much. Sure, we literally do, but we have twice the manpower and twice the income. And still have the same amount of leisure time per person.
0 - https://www.theatlantic.com/business/archive/2016/09/the-fre...
Time is a fixed quantity for poorer people. If you don't show up to your 8AM Walmart job on time, you'll get chewed out.
But if you're a senior VP, you can move meetings around to fit your schedule.
First, the article doesn't appear to talking about actual rich people (billionaires, etc) but upper-middle-class white-collar people (i.e., they still have a day job and can't live off savings & interest). But, we can call them rich to keep it easy.
In a literal sense, rich people have more time, as they tend to live longer than poor people.
In the sense of day-to-day free time, I'd argue rich people have more. Both in absolute terms - they rarely have to work two jobs, though they might do occasional OT. And in their ability to time-shift work obligations. Take a software dev - typically they have flexible work hours, might have some ability to schedule their own meetings, and nobody blinks if they duck out early once a week for a long run/ride/whatever.
https://www.theatlantic.com/business/archive/2016/09/the-fre...
That sounds totally compatible with the article being titled "Why Do Rich People Love Endurance Sports?".
It doesn't have to be most or all of rich liking endurance sports. It's enough that endurance sports are mostly liked by the rich.
The article is not titled "Why do MOST/ALL rich people love endurance sports".
In other words, X doesn't need to be a characteristic of most rich to ask "why are rich drawn to X" -- it just has to draw more rich than non-rich.
You might as well ask "Why do rich people love helicopter skiing?" I'm sure everyone that does that is pretty rich, but probably most rich people don't do it. I'm sure there's a ton of not-rich people who would also enjoy it, but they simply can't afford to do it.
That doesn't follow. If 1% of rich people do X, and only 0.0001% of non-rich do it, then X is very much a trait of rich people. It's not of most/all rich people, but it is predominantly of rich people.
In that way and in that context it's a "passable" statement.
Don't view everyday life and sentences through the narrow lens of mathematics/logic. If you're lucky that'll make for some dinner conversation, if you're unlucky you'll just be annoying.
"I know this must be leaking because it smells." is fine in an everyday context, even if not strictly and always true.
If I wrote “why are wealthy people over represented in endurance sports” would you be ok with it?
If say ... 1% of the population is wealthy but 20% of participants in marathons are ... that would be potentially of statistical interest, no?
Although farmers do seem to be overrepresented in marathon skating.
The % of rich people who enjoy endurance sports tends to be pretty high. The % of people in endurance sports that are rich tends to be pretty low, triathletes excluded because triathlons are #$#@$ expensive and so that population is cash-gated.
Yes. It's called not understanding Bayes' theorem. Bayes' theorem is precisely about how the probability of "B, given A" (P[B|A]) relates to the probability of "A, given B" (P[A|B]). In our case, that would be "rich, given love for endurance sports" =/= "love for endurance sports, given rich". It is immediately obvious from Bayes' equation that the two are, in general, not the same.
There's no evidence presented that a majority or even a significant percentage of people who are rich love endurance sports, only that most of the people who love endurance sports are rich. Is there a name for this sort of statistical error? Because it's everywhere.
Let's pretend there's 10,000,000 "rich people" and 100,000 "people who love endurance sports". Easily 100% of the people who love endurance sports could be rich while it's still an insignificant percentage of rich people as a whole.
I'm going to guess that the majority of people who are competitive at any hobby are pretty well off, simply because people who are poor do not have the time or resources to practice enough to become competitive at leisure activities.