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Author Topic:   Atheists identified as America’s most distrusted minority
Zhimbo
Member (Idle past 6041 days)
Posts: 571
From: New Hampshire, USA
Joined: 07-28-2001


Message 27 of 60 (299828)
03-31-2006 2:46 PM
Reply to: Message 20 by Silent H
03-31-2006 10:36 AM


I realize statisticians may argue otherwise, but I don't believe there has ever been solid attempts to substantiate such claims
Uhhhhh...other than fundamental probability theory?
While proper sampling is a tricky real-world problem (and I would assume that this group would take appropriate and accepted measures to help ensure this), the theory of proper sample sizes is as well worked out as you get. It *really* doesn't matter that the sample may be a small proportion of the total, it reallly does only depend on the raw sample size.
Given that we only have a press release, we really don't have anything to go on regarding the sampling procedure.
This message has been edited by Zhimbo, 03-31-2006 02:47 PM

This message is a reply to:
 Message 20 by Silent H, posted 03-31-2006 10:36 AM Silent H has replied

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Zhimbo
Member (Idle past 6041 days)
Posts: 571
From: New Hampshire, USA
Joined: 07-28-2001


Message 33 of 60 (300029)
04-01-2006 9:49 AM
Reply to: Message 32 by Silent H
04-01-2006 4:28 AM


I have no proof that such sample sizes are inadequate,, and he has no proof that they are adequate.
I don't need proof. I'm making a point about probability theory. It's not an empirical issue. Given a random sample, you can very precisely work out the accuracy of a sample size of 2000.
I stated:
A) Given a random sample...
B) 2000 is a good sample size for most purposes.
All of your *valid* issues might be relevant to A, but they aren't relevant to B.
Your example of a "clumped" population in a rectangle is way off base. An geographically evenly distributed sample is *not* a random sample of the people. It's a systematic sample, and one likely to lead to systematic biases.
If there *is* systematic bias in your sampling procedure, then increasing the size from 2000 to 4000 or 1 million isn't going to remove the systematic bias.
And if you're holding up the Kinsey reports as an example of useful research, I really don't see why you're concerned about this study at all, as Kinsey consciously did *not* try to get truly random samples. And his sample sizes are not dramatically different from the study under question in this thread - about 5000 white men and 6000 white women. Less than an order of magnitude difference with the current study. It isn't as if he had millions of subjects. As he was looking to have detailed knowledge of many activities/preferences/etc that might have low overall rates of occurence, it would make sense that he would need somewhat more subjects.
This message has been edited by Zhimbo, 04-01-2006 09:50 AM

This message is a reply to:
 Message 32 by Silent H, posted 04-01-2006 4:28 AM Silent H has replied

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 Message 35 by Silent H, posted 04-01-2006 11:48 AM Zhimbo has replied

  
Zhimbo
Member (Idle past 6041 days)
Posts: 571
From: New Hampshire, USA
Joined: 07-28-2001


Message 37 of 60 (300072)
04-01-2006 12:40 PM
Reply to: Message 35 by Silent H
04-01-2006 11:48 AM


Well, then we're getting off track if your main point is about how the sampling is done, because we don't know in this case (yet). However, this is hardly a novel problem, and there is no particular reason to think that this study *will* have major sampling problems.
But if they do, doubling or tripling the number of subjects is not going to help.
Given the vast number of cultures capable of being produced within the US, there is no assurance that 2000 can hit them all, and realize what they represent.
Depends on what you want. Just because this sample may not sample any 2nd-wives-of-interracial-polygamous-marriages doesn't invalidate the apparent aims of the study. I don't think the researchers wanted to sample the full, intricate detail of all possible variation in attitudes (unlike Kinsey, say, who really was interested in specific variation as much or more than simple averages).
My argument is that the number 2000 given the demographics of the US and what they are looking for prevents A from being possible (or I should say, accurate).
Then we're speaking different languages. By what I mean by point A, if the sample size was 3 or 3000 or 3,000,000, A could be true.
" trying to show you need to take into account physical demographics in order to properly get a random population sample. "
If we had an accurate list of the entire U.S. population, we could sample randomly and never have to think about physical demographics one bit. As it is, we consider these sorts of issues only as a remedy for known biases in our sampling procedure.
"I'm sorry did I say that was an example of absolutely definitive research? "
Huh? I'm sorry, but did *I* say that *you* said it was "absolutely definitive"???? I was very careful not to put words in your mouth and very purposefully used your own terminology: "useful". You're the only person to use the phrase "absolutely definitive". Until me, right now, twice in this paragraph, but that doesn't count.
Why does that mean I am thinking that we'd need some outrageous number?
Don't get your knickers in a twist. There was no intent to say that you said that. I'm saying he had a similar number of subjects. "Millions" was an extreme contrast. I just don't see why Kinsey's same-order-of-magnitude-sample-size-with-highly-biased-sampling was being contrasted at all with the OP study.
There were perfectly valid reasons for Kinsey to get a few thousand more subjects, IMO. Doesn't mean that all studies need it, or that 2000 is necessarily insufficient.
Honestly, are you suggesting that a researcher would actually look down on a study that involved 10K as opposed to 2K samples?
Well, yes, I would in many cases. For many if not most purposes, 10K would be an enormous waste of money and resources. It would indicate that the folks running the study had too much money and too little knowledge of statistics. They could have run 2, 3, 4 or more studies for the same amount of money and obtained 2, 3 or 4 times the useful information.
As for voting vs. opinion polls:
Well, N=2000 wouldn't give enough accuracy for an election. +/-3% ain't gonna cut it. And the problems with proper sampling change from usually small but irritating biases to changing the course of history. That said, I think one could actually make a pretty darn good case for the superiority of random sample polls vs. voluntary elections, if your intent is to elect leaders who conform to the preferences of the largest number of people.
Elections don't work like that. They're about who gets the most votes, which is in principal similar but in practice not the same thing.

This message is a reply to:
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