stats

F-Distribution

F-distribution — PDF, CDF, right-tail p-value, critical F at α=0.05/0.01; ANOVA and variance-test presets.

Presets

Parameters

Numerator df₁

Denominator df₂

F value

Results

PDF f(F)—

CDF P(F_dist ≤ F)—

p-value (right-tail)—

Critical F (α = 0.05)—

Critical F (α = 0.01)—

Reciprocal 1/F (df₂, df₁ swapped)—

Mean df₂/(df₂−2)—

Mode (df₁−2)/df₁ × df₂/(df₂+2)—

Conclusion α = 0.05—

CDF = I_x(df₁/2, df₂/2) · x = df₁F/(df₁F+df₂)
PDF in log-space for stability · critical F via bisection (80 iter)