sample comparison question

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sample comparison question

Jordan Kennedy
Hi all:

I have a subsample of 900 taken from a population of 1700 that I would
like to compare on a multiple demographics. In short, I would like to
know if this sample of 900 is similar to the popluation of 1700 for
demographics such as gender, ethnicity, etc. I am using version 19.0
of SPSS/PASW. Does it do a one-sample z-test of proportions, or any
other technique that people think is reasonable to compare a sample
proportion to a population proportion? Thanks!

J

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Re: sample comparison question

Bruce Weaver
Administrator
Taking the mean as an example, I think that the only way the mean of the sample of 900 can be the same as the mean of the the entire group (which I hesitate to call a population--see below) is if the means for the groups of 900 and 800 are the same.  So in other words, you can do a two-group test comparing those two independent means.  (I think this issue came up some time ago in one of the sci.stat.* newsgroups, and I believe Ray Koopman posted this same suggestion there.  I just can't find the old thread right now.)

The reason I hesitate to call your 1700 a population is that it is rare to have a case where one truly has no interest in generalizing beyond the data in hand.  What are the details of your situation?

HTH.


Jordan Kennedy wrote
Hi all:

I have a subsample of 900 taken from a population of 1700 that I would
like to compare on a multiple demographics. In short, I would like to
know if this sample of 900 is similar to the popluation of 1700 for
demographics such as gender, ethnicity, etc. I am using version 19.0
of SPSS/PASW. Does it do a one-sample z-test of proportions, or any
other technique that people think is reasonable to compare a sample
proportion to a population proportion? Thanks!

J

=====================
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[hidden email] (not to SPSSX-L), with no body text except the
command. To leave the list, send the command
SIGNOFF SPSSX-L
For a list of commands to manage subscriptions, send the command
INFO REFCARD
--
Bruce Weaver
bweaver@lakeheadu.ca
http://sites.google.com/a/lakeheadu.ca/bweaver/

"When all else fails, RTFM."

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Re: sample comparison question

Rich Ulrich
In reply to this post by Jordan Kennedy
It is *never* statistically appropriate to compare
a subgroup to the total of which it is a part; though, occasionally,
like when there are many subgroups, it can be convenient
to carry out the comparison that way, and if the story is
simple enough, you can tell it that way.

If you want to know whether the 800 are like the 900,
you compare the 800 to the 900.

--
Rich Ulrich

> Date: Mon, 26 Sep 2011 10:43:07 -0700

> From: [hidden email]
> Subject: sample comparison question
> To: [hidden email]
>
> Hi all:
>
> I have a subsample of 900 taken from a population of 1700 that I would
> like to compare on a multiple demographics. In short, I would like to
> know if this sample of 900 is similar to the popluation of 1700 for
> demographics such as gender, ethnicity, etc. I am using version 19.0
> of SPSS/PASW. Does it do a one-sample z-test of proportions, or any
> other technique that people think is reasonable to compare a sample
> proportion to a population proportion? Thanks!
>

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Re: sample comparison question

John F Hall

I used to do something like this with inexperienced students to demonstrate variation in sample estimates (eg % female or mean age) by taking several sub-samples n from “population” N where n could range from 30 to 300 and N was 3025 cases from the 1989 British Social Attitudes survey.  This also demonstrated that size of sample matters for confidence limits.  We used to do it the hard way using

 

TEMP.

SAMPLE < n> from <N> .

 

a couple of times per student.  This didn’t yield many examples and rarely demonstrated the point, but David Marso recently sent me some very neat code to produce 100 or more subsamples from which I was able to make charts to illustrate the point.  These will eventually be incorporated into the SPSS tutorials on my site.

 

 

John F Hall

 

[hidden email]

www.surveyresearch.weebly.com

 

 

 

 

From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Rich Ulrich
Sent: 27 September 2011 04:05
To: [hidden email]
Subject: Re: sample comparison question

 

It is *never* statistically appropriate to compare
a subgroup to the total of which it is a part; though, occasionally,
like when there are many subgroups, it can be convenient
to carry out the comparison that way, and if the story is
simple enough, you can tell it that way.

If you want to know whether the 800 are like the 900,
you compare the 800 to the 900.

--
Rich Ulrich

> Date: Mon, 26 Sep 2011 10:43:07 -0700


> From: [hidden email]
> Subject: sample comparison question
> To: [hidden email]
>
> Hi all:
>
> I have a subsample of 900 taken from a population of 1700 that I would
> like to compare on a multiple demographics. In short, I would like to
> know if this sample of 900 is similar to the popluation of 1700 for
> demographics such as gender, ethnicity, etc. I am using version 19.0
> of SPSS/PASW. Does it do a one-sample z-test of proportions, or any
> other technique that people think is reasonable to compare a sample
> proportion to a population proportion? Thanks!
>