In cleaning out my inbox, I came to this note, to which I had intended
to reply long since.  In case the references might be useful to someone,
I include them now...

On Wed, 29 Jan 2003, Rich Ulrich wrote in part:

> On Thu, 16 Jan 2003 20:35:02 GMT, Jerry Dallal
> <[EMAIL PROTECTED]> wrote:
>
> > Dennis Roberts wrote:
> >
> > > Comments appreciated.
> >
> > I think that what you and Rich are struggling with is that there is
> > a difference between an expected length and a given probability of
> > not exceeding some length.  If it's not, it's still an issue.
>
> After trying to figure what to post next, I have finally
> concluded that nobody else knows how to figure that, either.
> (a) I don't have a textbook reference on how to figure
> the CI  of a standard deviation;
> (b) I don't remember where and when I learned it; and
> (c) most of you folks don't know what I was talking about,
> because you have never walked through the basic problem.

.. after which Rich presented "an elementary lesson".

Textbook references:

Glass & Stanley, "Statistical Methods in Education and Psychology",
Prentice-Hall, 1970.  Section 14.6, Inferences about <ratio of
variances> using independent samples, pp 303-306.

Glass & Hopkins, "Statistical Methods in Education and Psychology", 2nd
ed., Prentice-Hall, 1984.  Section 13.6, Inferences about two
independent variances, pp 262-265.

Both texts show how to test the hypothesis that two independent
variances are equal, and how to construct a confidence interval on the
ratio between the variances.  Glass & Stanley was almost the first text
I taught from after I started teaching graduate school in 1969, and I'd
always believed that this material was part of the underlying basic
stuff that folks like me were s'posed to know.

 [ snip, Rich's excellent exposition on the topic ]

Happy Thanksgiving, all!   -- Don Burrill.
 -----------------------------------------------------------------------
 Donald F. Burrill                                         [EMAIL PROTECTED]
 56 Sebbins Pond Drive, Bedford, NH 03110                 (603) 626-0816
.
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