In: Statistics and Probability
Problem Set 1: Pearson Correlation Coefficient Analysis
Research Scenario: A clinical psychologist would like to determine whether there is a relationship between observer ratings of children’s externalizing behaviors and scores on an established diagnostic interview assessing externalizing disorders (like ADHD, CD, etc.). He administers the diagnostic interview to 25 children and records these scores. He then trains an observer to independently rate carefully-defined externalizing behaviors for each of the 25 children. These scores are totaled for an overall “externalizing behavior index.” On both the interview and the behavioral ratings, a higher score indicates higher levels of externalizing behavior. These scores are listed in the table below.
Using this table, enter the data into a new SPSS data file and run a Pearson correlation coefficient analysis to test whether there is a relationship between the interview scores and the behavior ratings in this sample. Create a scatterplot to show the relationship between the variables.
Interview (Range 0 to 9) X |
Externalizing Behavior Index (Range 0 to 25) Y |
3 |
7 |
2 |
9 |
4 |
6 |
9 |
22 |
7 |
20 |
6 |
12 |
4 |
10 |
8 |
9 |
3 |
5 |
4 |
7 |
2 |
5 |
1 |
3 |
6 |
16 |
8 |
19 |
7 |
21 |
7 |
22 |
1 |
4 |
2 |
7 |
3 |
7 |
3 |
3 |
5 |
13 |
8 |
19 |
7 |
16 |
4 |
12 |
3 |
9 |
Here is the SPSS output for the correlation coefficient
Here is the screenshot for the scatterplot