Two-sample t pivot
Theorem taught in Confidence intervals, part of Statistical inference
Two-sample t pivot
| Type | Theorem |
| Taught in | Confidence intervals |
| Part | Statistical inference |
For two independent normal samples with a common variance,
T=\frac{(\overline X_1-\overline X_2)-(\mu_1-\mu_2)}{s_p\sqrt{1/n_1+1/n_2}}
has a t distribution with n_1+n_2-2 degrees of freedom.
Used in
- Taught in Confidence intervals, where the derivation and examples are.
- All 6 questions on Confidence intervals
See also
Confidence interval · Pivot · One-sample t pivot · Pooled variance · Variance-ratio F pivot · Wald interval