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a random cross-section vs a representative cross-section

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Lazypierrot - 17 Jan 2009 13:58 GMT
Hello!  I would like to know if the following expressions are both
possible; "a random cross-section of the English population" and "a
representative cross-section of the English population"

Thank you in advance.

LP
Lazypierrot - 17 Jan 2009 14:00 GMT
> Hello!  I would like to know if the following expressions are both
> possible; "a random cross-section of the English population" and "a
[quoted text clipped - 3 lines]
>
> LP

I am sorry that I have posted this again.  I wondered if my first
question was not accepted.

LP
georgeh@ankerstein.org - 18 Jan 2009 00:27 GMT
> Hello!  I would like to know if the following expressions are both
> possible; "a random cross-section of the English population" and "a
> representative cross-section of the English population"

They are the same, in reality.  If you understood statistics, you
would
know that any attempt to "cook the books" by forcing what you believe
is "representative" is to introduce a bias and make the "cross-
section"
less than "random".

GFH
Andrew Heenan - 18 Jan 2009 12:14 GMT
Lazypierrot <lazypier...@gmail.com> wrote:
> I would like to know if the following expressions are both
> possible; "a random cross-section of the English population" and "a
> representative cross-section of the English population"

The expressions are perfectly possible; the cross sections may be more
difficult to achieve. And the different expressions describe very different
things.

It is possible to take a statistical sample that has an age / gender
breakdown that is representative of the population as whole, for example -
but whether that would be what the study needed is quite another matter.

It is also quite possible to select a random sample - and equally possible
to undermine the 'randomness' by, for example, allowing the subjects to
self-select.

In short, this is not a language question - it's a statistsics question.
Wrong forum.
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tony cooper - 18 Jan 2009 14:09 GMT
>Lazypierrot <lazypier...@gmail.com> wrote:
>> I would like to know if the following expressions are both
[quoted text clipped - 15 lines]
>In short, this is not a language question - it's a statistsics question.
>Wrong forum.

It is a language question.  The OP is looking for the language that
acceptably describes the results of a projection made from a sample
group.  The statistician would not need to know this because in his
preparation to become a statistician he would have learned the terms.

Any statistical sample is based on random selection.  If it's not
based on random selection, it is not a statistically valid sample.
Any valid projection based on a statistical sample is considered to be
representative of the group as a whole.

The projection that the OP is talking about is a cross-section of the
English population.  It is representative of the English population
distribution.  It is based on a random sample of the English
population.  It need not, and should not, be called a "random
cross-section" or a "representative cross-section" because both
"random" and "representative" are already implied in the term
"cross-section" based on a statistical sample.

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Tony Cooper - Orlando, Florida

Eric Walker - 25 Jan 2009 11:13 GMT
.

> >Lazypierrot <lazypier...@gmail.com> wrote:
> >> I would like to know if the following expressions are both
[quoted text clipped - 33 lines]
> "random" and "representative" are already implied in the term
> "cross-section" based on a statistical sample.

I'm not sure it's as simple as that, especially outside a clearly
academic context.

A "random cross-section" may or may not be a reasonable approximation
to the entirety of the population sampled, depending on both the
relative sizes of the sample and the population and on how nearly the
sample approaches true "randomness", which is much harder to
approximate than many people, including some professionals, realize
("Dewey Defeats Truman!").

On the other hand, a "representative cross-section" carries, to me,
anyway, a connotation that the individuals in the sample have been
hand-picked in qualities and number to correspond to someone's
delineation of the population purportedly being represented: "We have
assembled a panel of judges that is a representative cross-section of
America".
mm - 27 Jan 2009 17:52 GMT
>Hello!  I would like to know if the following expressions are both
>possible; "a random cross-section of the English population" and "a
>representative cross-section of the English population"

I don't understand those who say these are the same.   They might be
sometimes but in the area of political polling, in the USA and I would
expect everywhere, random sampling is not as often used anymore,
because pollsters found they could get better results, those that more
closely matched the results on election day, if they made efforts to
find a more representative sample.   And though they only once in a
while go into the details of this, most election projection polls are
not just random.  AFAIK, most other large polls are not either, such
as the ones that ask "Is the economy looking better next year than
last year?:", etc.

Polls taken in person are liked because not everyone has a phone.  But
where does one put poll takers to sample every sort of the population.
Regarding phone calls, randommness might allow a poll taker to ask
queestions only during the normal 9-5. M-F working hours, but unless
one is able to talk to people at work at the same rate as people at
home, that will skew the results.  Randomness might allow polltakers
to call whenever they want to.  Let them sleep late if they are
inclinded, take off at lunch hour to feed themselves or their
children, take a nap in the afternoon.

Instead the method for the last 30 years and probably much longer has
been Ithink to make sure a certain percentage of calls are placed
during each time period, maybe 9-11, 11-1, 1-3, 3-5, 5-7, 7-9, and a
certain percentage to each phone exchange, counting area code the
first 6 digits.

Now that one in 6 homes don't have land lines in the US, other methods
are trying to be found to catch cell-phone only users.

Just dialing phone numbers at random, like in sequential order, might
work for this but I think since so many numbers are not in use, this
isn't done.  Not sure.

This isn't just a statistics questoin but a polling question.   There
is plenty written on it, and probably a whole Yahoo list on it.

Even if the two kinds of polls would give the same result, and even if
one disapproves of one of the two kinds, they are not the same.

>Thank you in advance.
>
>LP

P&M
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Posters should say where they live, and for which
area they are asking questions. I have lived in
Western Pa.  10 years
Indianapolis 10 years
Chicago       6 years
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Baltimore    26 years

 
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