I expected to come back here and argue about statistics, but you guys are basically making my argument for me. I'm going to try to address all this in order. Sorry for an overly long post. Most of this is basically me agreeing with you, but seeing things from a slightly different (more skeptical) viewpoint.
J T wrote:It sounds like your problem is more with statistics used poorly, rather than with statistics on the whole.
Yes, this is one of my two main grievances with statistics.
J T wrote:You're also discussing problems in individual subject validity
Something like that. I have never heard the phrase "individual subject validity" before today. I would simply say that what's true of the flock is not necessarily true of the bird. This is my second main grievance.
J T wrote:which is a potentially very real problem and a reason to even take empirically supported advice with a small grain of salt, but it's generally not a huge problem and I still would still prefer to take a pill based on statistical support rather than take one based on anecdotal support.
But wouldn't it be even nicer to take a pill developed through empirical evidence and proven through rigorous tests?
MrPopo wrote:Statistics is taking a large collection of data and coming up with a model that fits the data.
Conspiracy theories also take a large collection of data and come up with a model that seems to fit. Aren't you skeptical when you hear a conspiracy theory? What invokes this skepticism? You have heard a hundred bogus conspiracies; I have heard too many bogus statistics. I hear nonsense statistics batted around with no one questioning the source or verifying these statistics in independent studies.
Numerology also takes a large collection of data and come up with a model that seems to fit. The number twenty-three seems to come up so often. Is there some uncanny significance to the number twenty-three? Of course not. It's a simple coincidence.
MrPopo wrote:Given the proper phrasing I can make a set of numbers say whatever I want.
You have made my point for me quite eloquently.
MrPopo wrote:Think of insurance companies. Their entire business model is based on statistics. They crunch the data and use that to come up with a pricing model. Clearly something is going right, as insurance is a thriving business (and to simplify things, let's just consider life insurance, which is all actuarial work).
Touché. You make a strong point considering actuarial science. Here we have an industry with the most rigorous statisticians. These guys are the best statisticians bar none, but can any among them tell me the day I will die? How about the month? Can the very best actuary tell me the year I will die? Doubtful. Models that apply to large sets of data do not necessarily apply on individual terms.
MrPopo wrote:So the problem you have isn't with statistics; it's with poorly presented or interpreted numbers. Here's a good example of a valid conclusion, but the sample size ends up being too small for the conclusion to be reasonable.
Yes, poorly presented or interpreted numbers is one of my problems with statistics. I think it's a reasonable criticism. I think anything short of a full census (or as near to one as reasonably possible) is too small a sample size.
Cronozilla wrote:The times when those mathematical properties don't turn out to be remotely correct are when either someone has taken the result out of context, it was never calculated to a proper confidence level, or sample chosen to do the statistical analysis on was garbage.
Indeed. You have also made my argument for me. I am not claiming the the mathematical concept of an average is flawed. The results of statistics are flawed.
Cronozilla wrote:People also abuse statistics, scientific findings, and all sorts of stuff to say their message. Or more likely, to get money.
Yes indeed. You make my point for me again.
Let me ask everyone this question:
How do you suppose that statistics would estimate
themselves? What if you took every statistic in print from Jan 1st to Dec 31st then separated the results into two groups. Statistics that were collected responsibly, could be replicated with matching results elsewhere, and accurately predicted an outcome are in the group A. All other statistics are in group B. Which of these groups is larger? Statistically speaking, what percentage of statistics are valid? After you come up with a percentage, use that to predict whether or not the next statistic you read will be valid or bogus.
While that one is rolling around in your head, I leave you with some words from America's greatest philosopher.
Homer Simpson wrote:You can come up with statistics to prove anything, Kent. Forty percent of all people know that.
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Cronozilla wrote:It was mentioned, but yes, Dark Matter (and Dark Energy) are primarily abstract ideas to represent what is missing in universal calculations (since they need to be represented somehow to still do math on the universal model) People talking about it now are just trying to ponder, hey what would this unknown stuff actually be? And they attempt to extrapolate models of that to test with.
Thanks for being the first to reply to Dark Matter. It seems to me that "Dark Matter" is the name cosmologists apply to their own ignorance. I don't mean to imply that cosmologists aren't smart. I just mean that "Dark Matter" isn't a thing; It's a great big "Here be dragons" on the map of the universe. I don't believe in dragons, and I don't believe in dark matter.