David Howell's large statistics text gives a fairly transparent explanation.
Regards,
Chris Green
============

Rick Froman wrote:

I hope that subject line isn't copyrighted.

 

After I explained why the formula for the s to predict s uses N-1 in the denominator (to inflate it for a more conservative estimate since it is just an estimate of the population standard deviation), a student asked, why N-1 and not N-2 or N-3? I mentioned statistical studies about how N-1 gives the best estimate of the population standard deviation but I wonder if anyone has a good explanation for why it is N-1. I know if the number got too high, small sample sizes would end up with a negative number (which would make no sense).

 

Rick

 

 

Dr. Rick Froman, Chair
Division of Humanities and Social Sciences
Professor of Psychology
John Brown University
2000 W. University
Siloam Springs, AR  72761
[EMAIL PROTECTED]
(479) 524-7295
http://www.jbu.edu/academics/hss/psych/faculty.asp

"Pete, it's a fool that looks for logic in the chambers of the human heart."
- Ulysses Everett McGill


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