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:

Cohen’s size criteria
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