[R] Inferences for ratios of non-normal means

Stephen Weigand weigand.stephen at gmail.com
Wed Sep 12 05:20:45 CEST 2007


Paul,

On 9/11/07, JRG <loesljrg at verizon.net> wrote:
> On 11 Sep 2007 at 22:10, Robert A LaBudde wrote:
>
> > I think a ratio of two normals has a Cauchy distribution, which
> > doesn't have a variance (the singularity in the denominator), so the
> > Central Limit theorem does not apply.
> >
>
> The Cauchy results if the denominator normal distribution has mean = 0, but noth otherwise.
>
>
>
>
>
> > I would suggest using bootstrap resampling to make inferences.
> >
> > At 08:10 PM 9/11/2007, Moshe wrote:
> > >For large samples you have asymptotic normality!
> > >
> > >--- Paul Smith <phhs80 at gmail.com> wrote:
> > >
> > > > Dear All,
> > > >
> > > > The package mratios can perform inferences for
> > > > ratios of normal means.
> > > > Is there some other package to do the same but with
> > > > non-normal
> > > > populations. Since I have got large samples, an
> > > > asymptotic procedure
> > > > would be fine.
> > > >
> > > > Thanks in advance,
> > > >
> > > > Paul
> > > >
> >
> > ================================================================
> > Robert A. LaBudde, PhD, PAS, Dpl. ACAFS  e-mail: ral at lcfltd.com
> > Least Cost Formulations, Ltd.            URL: http://lcfltd.com/
> > 824 Timberlake Drive                     Tel: 757-467-0954
> > Virginia Beach, VA 23464-3239            Fax: 757-467-2947
> >
> > "Vere scire est per causas scire"
> >
> > ______________________________________________
>
>
> John R. Gleason
>
> Syracuse University
> 430 Huntington Hall                      Voice:   315-443-3107
> Syracuse, NY 13244-2340  USA             FAX:     315-443-4085
>
> PGP public key at keyservers
>

Also, in case you missed it, do

library(boot)
help(boot) # see first example re. ratio of means



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