Dear Tipsters,


There are various ways to plan sample size. When teaching this in research 
methods, I divide the issues into two parts:



1. Estimation of population values.

Here, more is better but there are diminishing returns. Think of the fact that 
we rarely see more than 1500 people in national polls and surveys. The formula 
is based on minimizing standard error. Of course, sampling is critical.



2. Conducting studies with variables: experimental, subject or correlational.

There are four interconnected concepts: effect size, alpha, power and sample 
size. When any three are known, the fourth is determined. You can decide where 
to set alpha and power. For effect size (d), you can be guided by Cohen's 
guidelines for small, medium and large (.3, .5, .8) and choose the value you 
are looking for. This may come from past research or, in its absence, what you 
think is interesting theoretically or practically.



Cohen's book on power analysis gives tables where you can look up the sample 
size needed after specifying the values you choose. There is also this webiste:

http://homepage.stat.uiowa.edu/~rlenth/Power/



Sincerely,



Stuart





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Stuart J. McKelvie, Ph.D.,     Phone: 819 822 9600 x 2402
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________________________________
From: Paul C Bernhardt [[email protected]]
Sent: 27 August 2013 08:41
To: Teaching in the Psychological Sciences (TIPS)
Subject: Re: [tips] Sample Size: How to Determine it?










There is software to determine this. One excellent and free app is G*Power.

http://www.psycho.uni-duesseldorf.de/abteilungen/aap/gpower3/

I would use the correlational study to give me an estimate of effect size. As 
you describe, I would use that in the software to estimate my number of 
participants to attain the desired power. Practicality constraints on number of 
available participants usually limits things. I did such an estimate using 
G*Power a few weeks ago for a study we are planning. We will need to collect 
data over two semesters because the anticipated number of participants 
available from one semester's worth of students would only give us power of 
about .66, whereas two semester's worth would bump us up over .90.

Paul

On Aug 27, 2013, at 8:18 AM, Michael Britt wrote:










I'm reading an interesting piece of research on anthropomorphism which 
essentially states after a natural disaster if we use the term "mother nature" 
when describing it, people will be less willing to contribute to relief efforts 
("Humanizing nature could help the perceiver to conceive natural events as 
imbued with intentionality and significance rather than considering them merely 
random and meaningless phenomena").  They did two studies.  Here's the 
issue/question:


  *   Study 1 was correlational and involved 96 students.  The results were 
supportive at <.001
  *   Study 2 was an experiment (no need to go into the details) involving 56 
students. The results were, in the authors words, "tangentially" supportive 
with p<.06

I think the study was well conducted so I don't mean to slight the researchers. 
 My guess is that if they used more subjects they probably would have reached 
p<.05 - but would that have been an example of "selective stopping"?  I assume 
it would be.

So how exactly does a researcher determine beforehand - as we are suggesting 
they do - the number of subjects they ought to try to get for the study?  I'm 
just not familiar with the process.  Does one look at the effect sizes of 
previous related studies to determine if the effect is large or small and then 
make a decision?  But let's say the effect is assumed to be small, so do you 
use 100 subjects?  500?  How is this number determined?

Appreciate the insight in this.

Michael

Michael A. Britt, Ph.D.
[email protected]<mailto:[email protected]>
http://www.ThePsychFiles.com
Twitter: @mbritt



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