Phi Coefficient Calculator
Calculate the correlation between two binary variables
Enter the counts for a 2x2 contingency table.
Variable 2: Yes
Variable 2: No
Variable 1: Yes
Variable 1: No
About Phi Coefficient
Phi (φ) measures association between two binary variables.
Formula: φ = (ad - bc) / √(r1 × r2 × c1 × c2)
Range: -1 to +1 (like Pearson's r)
Relationship: χ² = φ² × n
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
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Formula Source: Standard Mathematical References
by Various
🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.