Hi

As Rick points out, the number of students is largely irrelevant to whether you 
get a normal distribution, unless you know (think) you're sampling from a 
normal distribution to begin with.

Where number of observations comes into play is if you are calculating a sum or 
average of the observations to create scores that are then analyzed and 
plotted.  Here the more individual observations going into each score will 
contribute to the normality of the resulting scores, (almost?) irrespective of 
the original distribution of raw observations.

Take care
Jim

Jim Clark
Professor & Chair of Psychology
204-786-9757
4L41A

From: [email protected] [mailto:[email protected]]
Sent: Friday, November 22, 2013 1:23 PM
To: Teaching in the Psychological Sciences (TIPS)
Subject: [tips] Sample size for normal assumption

Paul Brandon asked for stats mavens to address his inquiry: "How many students 
do you need to justify the assumption of a normal (or other) distribution of 
measures of performance?"
--------------------------
If you know any mavens, you may suspect that they will not have a simple answer 
for him. :)

There isn't a particular number that will ensure a normal distribution if the 
population isn't normally distributed in the first place.

Probably the closest a college class would come to the normal distribution of 
raw scores concerning knowledge of an academic subject would be in an Intro 
class required of all majors. Even then, distributions are often bimodal. Once 
you get to upper division major classes, it is very difficult to justify the 
expectation of a normal distribution, no matter how many students may be in a 
class. Of course, there are always exceptions (which is where the mavens come 
in...).

Rick

Dr. Rick Froman, Chair
Division of Humanities and Social Sciences
Professor of Psychology
Box 3519
John Brown University
2000 W. University Siloam Springs, AR  72761
[email protected]<mailto:[email protected]>
(479) 524-7295
http://bit.ly/DrFroman
"The LORD detests both Type I and Type II errors." Proverbs 
17:15<http://www.biblegateway.com/passage/?search=proverbs%2017:15&version=NIV>


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