Re: Idempotence and "Replication Insensitivity" are equivalent ?

vc ha scritto:

> pamelafluente_at_libero.it wrote:

> > You insist with the random sample story.
> >
>
> I insist on nothing. You said yourself that the collection is a random
> sample.
>
> > Forget about random samples.
> >
> > I have 4 students not belonging to the same family and I want to know
> > *their* median
> > family size { 1 5 2 7 }.
>
> That set *is* a random sample consisting of four elements.

Sorry to interrupt this interesting talk.

I really have to go now. Have some urgent work to do otherwise might get fired... ;)

Thanks anyway for the constructive and instructive discussion.

Greetings from Rome.

Greetings to all (including Bob :) ) Thanks.

-P

>
> >I do not want to make inference about the
> > whole world. Just interested in *that* set. They do not represent, to
> > me, any other set in which they are contained.
>
> If the members of your collection are randomly chosen they do represent
> some population. If they are not randomly chosen, but are somehow
> deterministically selected, then the collection has got nothing to do
> with any kind of statistic, descriptive or otherwise.
>
> >That set is all my word,
> > and I want to describe only that set. The whole population is know.
> >
> > Is it clear? There is no inferential aim. Only description. That's why
> > it's called *Descriptive Statistics*.
> >You are talking of another branch
> > of statistics: Statistical Inference.
> >
> > I repeat. I am saying that computing the median of { 1 5 2 7 }
>
> There is no "median of {1,5,2,7}". There can be either a probability
> density function distribution median, or a sample distribution median.
> Which is it gonna be ?
>
> >
> > * is like *
> >
> > computing the median of a discrete random variable X that takes
> > the values 1,5,2,7 each with probability 1/4.
>
> So where does 1/4 come from if the collection does not consist of
> random numbers? From heavens ?
>
> >
> > What do find hard to get in this *analogy* ?
>
> What "analogy" is that ?
>
> >
> > I have also specified Median family size *of your students*, not any
> > other (container) set.
> > After that I do not know any other way to tell you.
Received on Wed Sep 27 2006 - 08:40:04 CEST