Variance-ratio F pivot

Theorem taught in Confidence intervals, part of Statistical inference

Variance-ratio F pivot

Type Theorem
Taught in Confidence intervals
Part Statistical inference

For two independent normal samples,

\frac{s_1^2/\sigma_1^2}{s_2^2/\sigma_2^2}

has the F distribution with (n_1-1,\,n_2-1) degrees of freedom.

Used in

See also

Confidence interval · Pivot · One-sample t pivot · Pooled variance · Two-sample t pivot · Wald interval

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