Bonett's two-sample test of σ₁² = σ₂² with the small-sample correction c(α) (Minitab 2 Variances,
Bonett's method): CI for the ratio exp[ln(c·s₁²/s₂²) ± z_{α/2}·√(se₁² + se₂²)],
seᵢ² = (γ̂ − (nᵢ − 3)/nᵢ)/(nᵢ − 1), c = [n₁/(n₁ − z_{α/2})] / [n₂/(n₂ − z_{α/2})]. The p-value is the
smallest α at which the (1 − α) interval excludes 1, so p and CI always agree.
Bonett's two-sample test of σ₁² = σ₂² with the small-sample correction c(α) (Minitab 2 Variances, Bonett's method): CI for the ratio exp[ln(c·s₁²/s₂²) ± z_{α/2}·√(se₁² + se₂²)], seᵢ² = (γ̂ − (nᵢ − 3)/nᵢ)/(nᵢ − 1), c = [n₁/(n₁ − z_{α/2})] / [n₂/(n₂ − z_{α/2})]. The p-value is the smallest α at which the (1 − α) interval excludes 1, so p and CI always agree.