OOPS .. didn't see the scatterplot , just notice it, let me look 

========================== 
John W. Kulig, Ph.D. 
Professor of Psychology 
Coordinator, University Honors 
Plymouth State University 
Plymouth NH 03264 
========================== 

----- Original Message -----

From: "Arlie Belliveau" <[email protected]> 
To: "Teaching in the Psychological Sciences (TIPS)" 
<[email protected]> 
Sent: Monday, February 27, 2012 1:37:05 PM 
Subject: Re: [tips] Statistical question-correlations 




Hi Marie, 

Have you calculated your effect sizes? It could be that the positive 
correlations of .23 and .16 are so small that, when the groups are 
combined, the error (or noise) turns them into negative correlations. At a 
glance, the scatter plots don't looks as though the relationships between 
variables are very significant. 

Just a thought. 
Cheers, 

Arlie 
-- 
Arlie R. Belliveau, BA (Hons), MA 
History & Theory of Psychology, PhD2 
York University Department of Psychology 
059 Behavioural Science Building 
4700 Keele St. Toronto, ON 
[email protected] 




On Mon, Feb 27, 2012 at 11:30 AM, Helweg-Larsen, Marie < [email protected] 
> wrote: 











I have a simple statistical question. 

I have a sample of 307 people. 111 are in the red group and 196 are the blue 
group. 
The correlation between variables x and y in the red group is r= .226 (n=111), 
p <.05 and in the blue group r=.164 (n=196), p<.05. However, when I run the 
correlation between x and y in the entire sample (red and blue combined, no 
missing data) I get a negative correlation, r=-.142 (n=307), p < .05. 
Now what doesn’t make sense to me that two groups individually have positive 
and significant correlations but the two groups combined can have a negative 
and significant correlation. 
So you stats tipsters. Is that statistically possible? 

I have checked everything I possibly can in terms of errors in the data or the 
analyses and have found none. Some suggestions about what I ought to look at? 

Marie 

Marie Helweg-Larsen, Ph.D. 
Associate Professor l Department of Psychology 
Kaufman 168 l Dickinson College 
Phone 717.245.1562 l Fax 717.245.1971 
Office Hours: Mondays and Tuesdays 2:00-3:30 
http://users.dickinson.edu/~helwegm/index.html 




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