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Title: Partial correlation
Description: Correlation is the degree to which 2 or more different variables show a tendency to vary together but remember correlation does not necessarily imply causation (cause and effect).

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1202282

Partial Correlation





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EXAMB



Correlation – the degree to which two or more
different variables show a tendency to vary
together
Positive correlation – when high scores on
variables correspond with high variables on
another variable (+1)
Negative correlation – when high scores on one
variable correspond with low variables on
another variable (-1)
Correlation does not necessarily imply
causation (cause & effect); a third confounding
variable could be the cause for two correlated
variables

The difference between association and causation: if A
and B are correlation then: A could cause B, B could cause
A, but C (another mediating variable could be causing A
and B)
...

2-tailed correlations; you hedge your bests either way – claiming there is ‘a’ relationship but not
in what direction
...


For example, say an r=
...
49
...
g
...
=
0
...
3
0
...
A small R value that is significant
...

2
...
We can be fairly sure that there is a strong
relationship between our measures
...
A large R that is non-significant
...

4
...
We can only say that there appears to be a weak
relationship between our measures; sample too small to say anything else
...


Reading this data you can see that participant no
...

1
...
Select the ‘variables’ to be correlated
3
...
Analyze > Correlate > Bivariate
2
...
Select direction > Two-tailed > One-tailed
4
...


PS3804: Advanced Statistics

Page | 6

1202282
Correlation before controlling for age; this is called a zero-order partial correlation
...
(2-tailed)

-
...
000

N

176

176

-
...
(2-tailed)

176

P
N


...
Correlation is significant at the 0
...


A Pearson’s correlation analysis revealed a fairly strong and negative correlation between
number of years before reoffending and number of times imprisoned prior to current sentence
(r=-
...
000)
...

Correlations
number of times
imprisoned prior
number years
before reoffends

Control Variables
offender's age on leaving

number years before

prison

reoffends
number of times imprisoned
prior to current sentence

Correlation

Correlation

to current
sentence

1
...
760 **

-
...
000

**
...
01 level

A Pearson’s correlation analysis revealed a fairly strong and negative correlation between
number of years before reoffending and number of times imprisoned prior to current sentence
(r=-
...
000) ; however controlled for the offenders age on leaving the prison this

declines to r= -
...

This results in a ‘first order partial correlation’ but you can control for more variables,
e
...
with two controlled variables you would have a resulting ‘second order partial
correlation’ etc
...

Partial correlation can only be carried out if there appears to be a linear relationship
Title: Partial correlation
Description: Correlation is the degree to which 2 or more different variables show a tendency to vary together but remember correlation does not necessarily imply causation (cause and effect).