A biological psychologist wanted to see if there was a positive correlation between heart rate (measured in beats per minute) and levels of a stress hormone (measured in micrograms) in people with obsessive-compulsive disorder (OCD). She wrote a directional hypothesis and collected data from 20 people with OCD.
The psychologist chose to use the Pearson’s r test to analyse the data because she was testing for a correlation.
The calculated value of r for the Pearson’s test was +0.42.
The researcher used the following table of critical values.
Table 1 Critical values of r for Pearson’s test
Level of significance for a one-tailed test | 0.05 | 0.025 |
Level of significance for a two-tailed test | 0.10 | 0.05 |
df = 17 | .389 | .456 |
18 | .378 | .444 |
19 | .369 | .433 |
20 | .360 | .423 |
Calculated value of r must be equal to or more than the critical value for significance to be shown Degrees of freedom (df ) = N – 2
Is the psychologist’s calculated value significant? With reference to Table 1, explain your answer.