Free Correlation P-Value Calculator
Calculate the t-statistic for testing whether a correlation coefficient is significantly different from zero.
t-Statistic
4.5260
Degrees of Freedom28
R²0.4225
t-Statistic vs Correlation Coefficient (r)
Testing Correlation Significance
To determine whether an observed correlation is statistically significant, calculate the t-statistic and compare to the t-distribution.
Formula
t = r × sqrt(n-2) / sqrt(1-r²)
with df = n - 2. If
Example Calculation
Correlation r = 0.65 from a sample of n = 30.
- 01t = 0.65 × sqrt(28) / sqrt(1 - 0.4225)
- 02t = 0.65 × 5.292 / sqrt(0.5775)
- 03t = 3.440 / 0.7599 = 4.527
- 04With df = 28, this is highly significant (p < 0.001)
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