In article <[EMAIL PROTECTED]>,
John Hendrickx <[EMAIL PROTECTED]> wrote:
>In article <ye1C4.14$[EMAIL PROTECTED]>,
>[EMAIL PROTECTED] says...
>> I have been trying to explain to some co-workers that a sample
>> can be too big.
>> That is not very easy because it is contratictory to what
>> intuition says.
>> Can someone point me to some good arguments or literature?
>> Or correct me if my assumption is wrong?
>If the sample is too large, effects could be significant although trivial
>in magnitude. As for references, see
>Raftery, A.E. (1986) "Choosing modles for cross-classifications: comment
>on Grusky and Hauser". American Sociological Review 51: 145-146.
>Raftery, A.E. (1995) "Bayesian model selection in social research".
>Sociological Methodology 25: 111-163.
>Raftery's BIC is often used in loglinear models of occupational mobility,
>where large sample sizes often lead to overly complex models.
All this shows is that the current use of statistical
significance is what is WRONG. Even if one has a point
null hypothesis, with a larger sample, some of the
reduced risk of a type 2 error should go into reducing
the risk of a type 1 error. And the real problem, is
the "null" hypothesis close enough to being true to
ignore the difference, is another problem.
In one problem, the appropriate significance level
should be 50%, and in another, 1/10^10 or less. It
changes not just with the problem, but with the
sample size as well, and faster than one would think.
--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette IN47907-1399
[EMAIL PROTECTED] Phone: (765)494-6054 FAX: (765)494-0558
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