Phi Coefficient Calculator (2×2 Contingency Table)
Enter Your Data
| Yes (1) | No (0) | |
|---|---|---|
| Yes (1) | ||
| No (0) |
2×2 Table Notation
| Variable Y=1 | Variable Y=0 | |
|---|---|---|
| Variable X=1 | a | b |
| Variable X=0 | c | d |
Phi Coefficient Formula:
\[\phi = \frac{(ad – bc)}{\sqrt{(a+b)(c+d)(a+c)(b+d)}}\]
Results
| Measure | Value |
|---|---|
| Phi Coefficient (φ) | – |
| Sample Size (N) | – |
| ad – bc | – |
| √[(a+b)(c+d)(a+c)(b+d)] | – |
Interpretation
Step-by-Step Calculation
Phi Coefficient Calculator Guide
How to Use the Phi Coefficient Calculator
- Enter your 2×2 contingency table values in the input cells.
- Click “Phi Coefficient Calculation” (Calculate Phi Coefficient).
- View the results, including:
- Phi coefficient value.
- Interpretation of strength and direction.
- Complete step-by-step calculation.
- Use “Reset” (Reset) to clear inputs.
Key Features of the Phi Coefficient Calculator
User-Friendly Input
- Clean 2×2 table input format.
- Pre-filled example data for easy testing.
Accurate Calculations
- Implements the Phi Coefficient formula: ϕ = (ad – bc) / √[(a+b)(c+d)(a+c)(b+d)].
- Handles edge cases (zero values, negative inputs).
Detailed Results
Displays:
- Phi Coefficient value (φ).
- Sample size (N).
- Numerator (ad – bc).
- Denominator calculation.
- Color-coded interpretation of correlation strength.
Step-by-Step Solution
Breaks down the calculation process into 4 steps:
- Contingency table setup.
- Numerator calculation.
- Denominator calculation.
- Final division.