Korrelations P-Value Rechner — Formel
## 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.
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.
Lösungsbeispiel
Correlation r = 0.65 from a sample of n = 30.
- t = 0.65 × sqrt(28) / sqrt(1 - 0.4225)
- t = 0.65 × 5.292 / sqrt(0.5775)
- t = 3.440 / 0.7599 = 4.527
- With df = 28, this is highly significant (p < 0.001)