Partial Correlation Coefficient Calculator
Calculate partial correlation between three or more variables with step-by-step statistical breakdown
Partial Correlation Formula
r(X,Y|Z) = [r(X,Y) - r(X,Z) × r(Y,Z)] / √[(1 - r(X,Z)²) × (1 - r(Y,Z)²)]
This formula calculates the correlation between X and Y while controlling for Z
Partial Correlation Results
r(X,Y|Z)
Partial Correlation
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±
Direction
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p
Significance (p-value)
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n
Sample Size
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Step-by-Step Calculation
1
Numerator: r(X,Y) - r(X,Z) × r(Y,Z)
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2
Denominator: √[(1 - r(X,Z)²) × (1 - r(Y,Z)²)]
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3
Partial Correlation: Numerator / Denominator
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Correlation Matrix
| X | Y | Z | |
|---|---|---|---|
| X | 1.000 | - | - |
| Y | - | 1.000 | - |
| Z | - | - | 1.000 |
Scatter Plot Visualization
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