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)

सूत्र देखें →

सूत्र

## 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 |t| exceeds the critical value (e.g., ~2.048 for alpha=0.05, df=28), the correlation is statistically significant.

हल किया गया उदाहरण

Correlation r = 0.65 from a sample of n = 30.

  1. 01t = 0.65 × sqrt(28) / sqrt(1 - 0.4225)
  2. 02t = 0.65 × 5.292 / sqrt(0.5775)
  3. 03t = 3.440 / 0.7599 = 4.527
  4. 04With df = 28, this is highly significant (p < 0.001)