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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