Re: [asa] Romans 1:20 (disregard my last post)

Dave,

I think you are right about subsets. An "event" is a subset often consisting
of multiple possible outcomes. But that doesn't necessarily negate the case
where each subset has only one element (i.e., one outcome).

Solomon says, on p. 24, "When we say that an element of a set is chosen
<i>at random</i> we mean that all the elements have the same probability of
being selected.

And that certainly jives with the example Miller gives right after his
statement.

I hope that helps. Interesting subject to chew on!
Thanks,
Dave C (ASA)

On Nov 26, 2007 1:30 PM, Dave Wallace <wdwllace@sympatico.ca> wrote:

> David Clounch wrote:
>
> > Miller/Freund: "A set of observations, X1, X2, ... ,Xn constitutes a
> > random sample of size n from a finite population of size N if it is
> > chosen so that each subset of n of the N elements of the population
> > has the same probability of being selected."
> >
> >
> > Ok, so, to me then, the idea that each event is equally likely is
> > very much part of the idea of random.
> >
>
> David
> Maybe I am misunderstanding what you are saying but
> that is not how I would interpret the statement by Miller. I don't
> think the probability of the different values of X1 etc are all equal.
> Rather what he is getting at is that from all the ways of subsetting N
> into a sample, each subset has an equal chance of being chosen to be the
> one being evaluated ie nothing is filtering some observations out.
>
> Dave W (CSCA member)
>
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Received on Sat Dec 1 22:38:42 2007