Quickly determine the statistical significance of your Pearson correlation coefficient (r) using our P Value Calculator. Input your 'r' value and sample size (n) to compute the t-statistic, degrees of freedom, and understand the likelihood of observing your correlation by chance. Ideal for researchers, students, and analysts needing to interpret correlation strength and validity.
Formula:
The P-value from a Pearson correlation coefficient (r) is determined by first calculating a t-statistic, then using this t-statistic and the degrees of freedom (df) to find the probability within a t-distribution.
1. Calculate the t-statistic:
t = r × √((n - 2) / (1 - r2))
- r: Pearson correlation coefficient (a value between -1 and 1)
- n: Sample size (number of pairs of observations)
2. Determine Degrees of Freedom (df):
df = n - 2
3. Find the P-value:
Using the calculated t-statistic and degrees of freedom (df), the P-value is obtained from a t-distribution table or statistical software. A lower P-value (typically < 0.05) indicates a statistically significant correlation, suggesting the correlation observed is unlikely due to random chance.