What is Pearson’s r?
Pearson’s r (the “Pearson product–moment correlation coefficient,” or simply “r”), is the most common way to compute a correlation between two variables. It tells you how two variables are related. Most statistical tools (like R or Excel) have a built-in correlation function.
The value of r ranges from -1 to +1. The sign of r (+ or –) indicates the direction of a relationship (whether a correlation is positive or negative), and the magnitude of r indicates the strength of the relationship (sometimes called the effect size).
What is considered a strong, moderate, or weak correlation varies by field. Many researchers use Cohen’s size criteria as a guideline:
r value | Direction | Strength |
---|---|---|
Between –1 and –0.5 | Negative | Strong |
Between –0.5 and –0.3 | Negative | Moderate |
Between –0.3 and –0.2 | Negative | Weak |
Between –0.2 and +0.2 | N/A | No correlation |
Between +0.2 and +0.3 | Positive | Weak |
Between +0.3 and +0.5 | Positive | Moderate |
Between +0.5 and +1 | Positive | Strong |