This comes up often because it is human nature to make judgments. It is human nature to use past experiences (and others' past experiences) to make inferences about the future. Those inferences may not be 100% accurate, but statistically they're the best you got given what you know. One of the main things you learn in history is that forgetting the past leads to repeated history. So why do we as individuals choose to forget the past?
Out of the desire to appear politically correct, people often reject summary statistics as "generalizations". Those who use them are "being judgmental". Just because there is a correlation between one thing and another doesn't mean the former implies the latter. But given nothing else, that's close to the best you can get--which is that the former is linked to the latter with probability r (which is the statistical correlation).
Would you fault me to claiming that tall fathers tend to have tall sons? Would you fault me for claiming that black fathers tend to have black sons? Would you fault me for claiming that the same father probably scored lower on the SAT than the national mean? Would you fault me for claiming that those who score lower on the SATs tend to be less intelligent than their peers, and vice versa? Would you fault me for claiming that those who are less successful are more likely to be involved in crime?
If you said no to any of them, ask yourself: If you had to bet 100 dollars for or against my proposition, which would you bet on for the higher expectation? Your sense of political correctness is tickling your senses, but when faced with a completely mathematical option, you have nowhere to insert your OWN judgment. Either the expectation is or isn't greater than zero.
So where's the problem with using data to back up judgments? People disregard that as stereotyping. Do I stereotype if I assert that smart people tend to have smart kids? No? What if I say that in people of a certain race tend to be less economically successful than people of the dominant race? No? What if I say that those who are more strapped for money are more likely to commit crime? No? But what if I combine them and assert that those same people of that certain race are more likely to be criminals than people of another race? (Which means if the police has (a) limited resources--enough to arrest only one--and (b) equivalent evidence against two suspects of a crime, it should choose the better guess based on past data)
Why does the PC-meter signal red on the last statement? Is it because people can see only one step in an equation? If a => b and b => c, can't people see that a => c? Or do they recognize that but refuse to acknowledge it publicly out of the desire to appear PC? Have we been so inculcated with the messages of PC-ness that we now fail to see the meaning behind it? If everything is indeed equal (level of education, past criminal history, people of association, economic standing, etc)--and that's impossible to assure--then sure, these politically sensitive criteria should play no role in people's decisions and judgments.
But not everything is equal. Therefore, we use data we know to guess at the variables we don't know. That's called the empirical mode of thinking and is the basis of the method of scientific inquiry.
So don't be so judgmental of your more perceptive peers. It's only human nature.
Comments
1. Statistics can be skewed.
1. Statistics can be skewed. Yeah, so black men may commit more crime and hispanics may be less likely to have a job. However, that does not give you a free pass to go ahead and generalize among a population. Chinese people are seen as cheap. Are all Chinese cheap? I am, and you might be, but I've met some pretty high-lifers in my time.
2. Correlation does not necessarily lead to causation. See the pirates-global warming joke that people often refer to. One does not lead to the other.
I think you trust statistics too much. Previous success/failure/conditions/patterns NEVER suggest a future success as well. Baseball proves this perfectly, that contracts are given to players retroactive to their past success. There are many who have received incentive laden contracts from teams, only to see that they do not produce as much (Home Runs, Runs Batted In, Wins, Losses, etc...). The Black man in the past may be dumber than you, but I'm only going to wonder what goes through your mind when you meet a smart black man, someone who got a lower score on the SAT than you but is smarter. Someone who is Hispanic but happens to have a high paying job, and has taken advantage of their opportunities: Yes, these are outliers, admittedly, but you got to start by giving chances, not just taking them away because you see that numbers suggest that. See number one again, before I start talking in circles.
Jinghao already addressed
Jinghao already addressed both of your points.
1. Statistics can be skewed, and they often are. But that doesn't mean they're wrong. If you had to bet $100 on whether or not black men commit more crime, which option would you pick?
2. Even if he didn't explicitly say that in the second paragraph, I'm sure you know that he knows this.
Are you serious? More often than not, previous success is the ONLY thing to suggest future success, and that includes baseball. If Barry Bonds has far more home-runs than average for 10 consecutive years, it would follow that he'll probably repeat such the next year. There IS causation. You're essentially saying that correlation implies no causation. In any case, I think we can say that correlation suggest causation, and most of the decisions we make in our lives are based off of this.
On a less related note, my physics teacher in high school had a theory that people naturally tend to stereotype, and this tendency arose from natural selection (i.e., the people who stayed away from the "tanned individuals" survived).
I would probably be outraged if police discriminated against my race if it were statistically more criminal than others. Since that isn't the case, I agree with Jinghao's proposition.
What I'm trying to say is
What I'm trying to say is that you shouldn't judge so harshly upon what you see everyday, particularly with PEOPLE. Other things, I don't so much care about. If I remember the conversation correctly, it began with "atheists are more productive than religious people", and morphed into something else. I don't think you need to think twice to think that there is something a little facetious with that argument.
1. I don't understand what is
1. I don't understand what is causing you to interpret tendency ("When A is true, B is true with some statistically significant probability") with pure linkage ("For all cases when A is true, B is true"). If I told you smart parents tend to have smart kids, are you going to point to someone we both know and scream?: "Ha, I found someone whose parents are smart but who isn't so smart himself". Read what I said before coming up with your canned "statistics can be skewed" response.
2. Statistics requires no trust or faith. I don't know what you're talking about.
Previous success ALWAYS suggests a higher likelihood of future success. Let's look at you and me in high school. If you were to place your money on who'd be more successful in college, who would you place it on?
That's right. Even though it may be painful to admit, you see it's true that previous performance hints at future performance.
Before you decide to be so judgmental, why don't you take an intro to stats class? I don't think I need to remind you, but I graded my school's undergraduate probability/discrete math class. I know the type of mistakes people make, and you haven't given me reason to suspect you're better than they are.
You can take your
You can take your Cal-Berkeley ego and shove it. I actually enjoy the fact that I am here at Santa Clara. And before you start arguing with me that it's a lesser school, I ask you that what you get out of a university is what you put into it. I've put quite a bit here, and have enjoyed myself with the people I met. Sure, I'm a lot less smart than you (as you know more programming languages, among MANY other things), and I think I've even told you a million times -- and yet you disrespectfully throw it back at me, and leverage yourself by posting this on YOUR blog. Good job, you've made me walk into one of your traps just like you made me walk into that checkmate four years ago.
In another sense, this conversation shows how little tact you have for people who think differently than you are. That kind of disappoints me too, but I don't think you will ever admit that. If you could even see a little as to what I'm talking about, maybe you'd see that I'm trying to tell you that statistics do not say EVERYTHING on this planet, even though you claim so.
this is so racist and flawed
this is so racist and flawed and problematic and completely overlooking the fact that society is made up of subjective human beings, not numbers, that i am rendered unable to elaborate my position in a text field.