Bivariate Correlation

Bivariate Correlation

Using SPSS a bivariate correlation procedure was performed on scores from the Alcohol Use Disorder Identification Test and Depression (CDI) scales as well as the self ratings of emotional (internal) and behavioural (external) problems provided by a sample of adolescents.  Please interpret the results shown below fully.

                                                    Correlations 

cditot audit internt externt
cditot Pearson Correlation 1 .465(**) .772(**) .606(**)
Sig. (2-tailed) .000 .000 .000
N 110 110 109 109
audit Pearson Correlation .465(**) 1 .383(**) .715(**)
Sig. (2-tailed) .000 .000 .000
N 110 110 109 109
internt Pearson Correlation .772(**) .383(**) 1 .566(**)
Sig. (2-tailed) .000 .000 .000
N 109 109 109 109
externt Pearson Correlation .606(**) .715(**) .566(**) 1
Sig. (2-tailed) .000 .000 .000
N 109 109 109 109

**  Correlation is significant at the 0.01 level (2-tailed).

Solution 

Using SPSS a bivariate correlation procedure was performed on scores from the Alcohol Use Disorder Identification Test and Depression (CDI) scales as well as the self ratings of emotional (internal) and behavioural (external) problems provided by a sample of adolescents.  Please interpret the results shown below fully.

                                                    Correlations 

cditot audit internt externt
cditot Pearson Correlation 1 .465(**) .772(**) .606(**)
Sig. (2-tailed) .000 .000 .000
N 110 110 109 109
audit Pearson Correlation .465(**) 1 .383(**) .715(**)
Sig. (2-tailed) .000 .000 .000
N 110 110 109 109
internt Pearson Correlation .772(**) .383(**) 1 .566(**)
Sig. (2-tailed) .000 .000 .000
N 109 109 109 109
externt Pearson Correlation .606(**) .715(**) .566(**) 1
Sig. (2-tailed) .000 .000 .000
N 109 109 109 109

**  Correlation is significant at the 0.01 level (2-tailed).

Pearson correlation was performed in order to check the association between two continuous variables.

N is the sample size which seems to be 110, in some cases there is 1 missing value, so total observation is 109.

Following the general rule:

0 means no linear relationship

+0.30.means a weak uphill (positive) linear relationship

+0.50.means a moderate uphill (positive) relationship

+0.70.means a strong uphill (positive) linear relationship

Exactly +1.means a perfect uphill (positive) linear relationship

The association is significant when the p-value is small enough, in this case less than 0.05 ( or even less than 0.01).

The highest association could be observed between cditot and internt, which is 77.2%, they correlate, so 77.2% of cditot is determined  byinternt.

The second strongest correlations could be found between audit and externt, 71.5%. Both indicate positive uphill linear relationships.

The next is between cditot and externt, which is 60.6%, followed by externt and internt with 56.6%. They mean moderate uphill linear relationships.

Still significant positive correlation could be found between audit and cditot, 46.5% and audit and internt 38.3%. They mean weak uphill positive linear relationships.