Pearson Correlation Statistical test

What is Pearson Correlation?

Pearson Correlation (r) measures the strength and direction of the linear relationship between two continuous variables.

Range

• +1: Perfect positive linear relationship
• 0: No linear relationship
• -1: Perfect negative linear relationship

Assumptions

• Continuous variables
• Linear relationship
• Normal distribution (for inference)
• No significant outliers

Interpretation

| |r| | Interpretation |
|-----|----------------|
| 0.9-1.0 | Very strong |
| 0.7-0.9 | Strong |
| 0.5-0.7 | Moderate |
| 0.3-0.5 | Weak |
| 0.0-0.3 | Very weak |

When to Use

• Both variables are continuous
• Relationship appears linear
• Data is normally distributed

Related Terms

• Spearman Correlation: Non-parametric alternative
• Correlation Analysis: Broader analysis process