On Sun, 4 Mar 2001, dennis roberts wrote in part:
> i know that sometimes power is "defined" as 1 - beta ... but, beta
> could therefore (algebraically and logically) be defined as 1 - power
Only for the conditional definition of power; I would wish to add the
conditional clause "when the null hypothesis is false".
> so, these are circular in a way
Yes, of course: in the same sense that a glass may be said to be
one-third full or two-thirds empty.
> that is ... power in many cases is a highly overrated CORRECT decision
Well, no. Overrated it may be (that lies, I think, in the eye of the
beholder); but a _decision_ it is definitely not. Power is the
_probability_ of making a particular decision -- which, of course, like
all decisions, may or may not be correct.
-- Don.
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Donald F. Burrill [EMAIL PROTECTED]
348 Hyde Hall, Plymouth State College, [EMAIL PROTECTED]
MSC #29, Plymouth, NH 03264 (603) 535-2597
Department of Mathematics, Boston University [EMAIL PROTECTED]
111 Cummington Street, room 261, Boston, MA 02215 (617) 353-5288
184 Nashua Road, Bedford, NH 03110 (603) 471-7128
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