F-Table (F-Distribution Critical Values)

F-Table (F-Distribution) Calculator and Critical Values Guide

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Use the F-Table Calculator below to quickly determine F critical values and p-values based on the selected numerator degrees of freedom (df1), denominator degrees of freedom (df2), and significance level (ฮฑ). The interactive calculator also visualizes the F-distribution curve, making it easier to understand rejection regions and statistical significance.

This calculator serves as a practical F-distribution reference table for students, researchers, engineers, quality professionals, and Six Sigma practitioners performing ANOVA, variance comparison, and hypothesis testing.

F-Distribution Table Calculator with Interactive Curve

F Distribution

df1 = 3 ยท df2 = 20
F distribution curve F distribution with the selected probability region highlighted.
Selected regionP(F >= 3.0984)
Probability0.0500
F

The F distribution is right-skewed and defined only for non-negative values.

Find Critical F-Value and P-Value

Between-groups degrees of freedom
Within-groups degrees of freedom
Used to calculate the p-value
Test type

Results

Critical F-value3.0984Upper critical boundary
P-value0.0499Right-tail probability
Confidence level95.00%Equal to 1 - alpha
Degrees of freedom3 / 20Numerator / denominator
i

What this result means

View Step-by-Step Solution

What Is an F-Statistic?

An F-statistic compares two variance estimates. In ANOVA, the ratio compares between-group variation with within-group variation.

F = MS between / MS within
  • df1 = numerator degrees of freedom
  • df2 = denominator degrees of freedom
  • F values are non-negative

Common Critical F-Values

Upper-tail critical values at alpha = 0.05.

df1df2Critical F

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Written by Aman โ€” Founder, Digital E-Learning

Helping professionals master Quality, Lean Six Sigma, Statistics, and Continuous Improvement through practical learning resources.

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Published: August 29, 2026
Last Updated: September 16, 2026

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