Right -- it's the same concept of deviation about the mean, but in this case 
it's deviation of means around a grand mean.

It's one conceptual level up, and I too find it hard sometimes to make clear.  
But if they understand standard deviations, then standard error maps onto that 
conceptual structure almost perfectly.  I often motivate the concept with the 
process whereby one would do it (get a sample of size N from a pop, take a mean 
and write it down, throw them back, do it again, blah blah).  Then you can talk 
about a distribution of those means, the standard deviation of which is called 
the standard error.  I tell them that if you're talking about the behavior of 
scores, you use standard deviations.  If you're talking about the behavior of 
means, you use standard errors of the mean.

Works pretty well for me...

m

--
Marc Carter, PhD
Associate Professor and Chair
Department of Psychology
College of Arts & Sciences
Baker University
--

> -----Original Message-----
> From: Bourgeois, Dr. Martin [mailto:[email protected]]
> Sent: Thursday, May 06, 2010 10:34 AM
> To: Teaching in the Psychological Sciences (TIPS)
> Subject: RE:[tips] standard deviation versus standard error
>
> It's easy if they understand the concept of a sampling
> distribution of means. The standard error is the standard
> deviation of the sampling distribution of means for a given
> sample size.
>
> ________________________________________
> From: Annette Taylor [[email protected]]
> Sent: Thursday, May 06, 2010 11:29 AM
> To: Teaching in the Psychological Sciences (TIPS)
> Subject: [tips] standard deviation versus standard error
>
> I am trying to explain to students with no or minimal stats
> knowledge the difference between standard deviation and
> standard error. They get SD pretty well because I can talk
> about average deviation about a mean for a set of scores.
> SE, the more commonly accepted error term these days, is a
> bit more complicated. Anyone have an "easy" way to describe
> it to students?
>
> Annette
>
> Annette Kujawski Taylor, Ph. D.
> Professor, Psychological Sciences
> University of San Diego
> 5998 Alcala Park
> San Diego, CA 92110
> [email protected]
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