In article <[EMAIL PROTECTED]>,
Brian Sandle  <[EMAIL PROTECTED]> wrote:

>I need some help with statistical  education.

>There is always the warning against doing lots of correlations and taking the 
>ones you think you like. If there is 5% chance of any particular result 
>happening by chance then the more you take the more likely your result is by 
>chance.

>So you are told to think out a theory and test it by stats.

>I feel that that is now rather hit and miss. Your theory and the stats still 
>have a 5% chance of being wrong. What is needed is an analysis which deals 
>with that. That usually means wait until 20 more people have repeated your 
>work, doesn't it?

Your theory will have a 100% chance of being wrong; you do
not understand hypothesis testing.  The 5% chance of rejection
is if the null hypothesis is EXACTLY correct, and this is in
practice never the case.  It may be close to correct, but this
is a different matter.

When looked at from a logical perspective, all that data can
do is to help choose from a set of theories.  In the cases
which occurred in simple physics, the theories are so simple
that "everyone" thought of them, and so they may have appeared
to have come from the data, but htis is not so.

>My approach would be to look for all correlations with knowledge that 5% are 
>by chance, to acknowledge that but to try to build a pattern of what is 
>happening using the partial correlations to help, and to decide on further 
>directions, not to wait the years for people to check the one correlation you 
>have done.

>I would tend to develop reasoning after seeing a pattern.

This is called "spurious correlation".  Statistics cannot do
your thinking for you.
-- 
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, Department of Statistics, Purdue University
[EMAIL PROTECTED]         Phone: (765)494-6054   FAX: (765)494-0558
.
.
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