Pearson Correlation Significance
Calculate the t statistic and two-tailed p-value for a Pearson correlation using sample size.
Statistical tool for educational use; consult a statistician for critical research decisions.
Examples
- r = 0.45 with n = 30 ⇒ t(28) ≈ 2.667, p ≈ 0.0124
- r = 0.10 with n = 50 ⇒ t(48) ≈ 0.696, p ≈ 0.4895
FAQ
What if my sample size is very large?
The calculator handles large n, but extremely high df may approach machine precision limits.
Is this a two-tailed or one-tailed test?
Results are two-tailed. Divide the p-value by two for a one-tailed interpretation.
Can I input r = ±1?
Perfect correlations lead to infinite t statistics; the calculator caps r to avoid division by zero.
Additional Information
- The significance test uses df = n − 2 degrees of freedom for Pearson correlations.
- Two-tailed p-values double the probability of observing |t| or more extreme under the null hypothesis.