F-Distribution

Areas (Fcdf) and critical values for the F-distribution used in ANOVA.

Inputs

I want to find
Area

Results update as you type.

Results

P(F < 3.885) = 0.9500

About 95.00% of values fall below 3.885.

F-distribution (df = 2, 12) curve. About 95.00% of values fall below 3.885. The shaded area is 0.9500.02468

Results

P(F < 3.885)0.9500

On the TI-84

2nd VARS (DISTR) → 0:Fcdf(lower, upper, numerator df, denominator df).

Fcdf(0, 3.885, 2, 12)

Show steps
  1. Area. The shaded area under the F-distribution (df = 2, 12) curve is 0.9500.

About this calculator

What the F-distribution is for

The F-distribution compares two variances. Its main use in intro statistics is one-way ANOVA, where F = (variation between groups) ÷ (variation within groups). It has two degrees of freedom: numerator df = k − 1 and denominator df = N − k for k groups and N total observations.

Like chi-square, F is never negative and is skewed right, and ANOVA tests are right-tailed.