30. Critical Values of the F Distribution
Reference Tables for Selected Numerator DF Values
This page reproduces a set of upper-tail critical values of the F distribution for selected numerator degrees of freedom
\[v_1 = 1, 2, \ldots, 20, 22, 24, 26, 28, 30, 40, 50, \ldots, 100, 120, 140, 200, \infty\]
across a standard set of denominator degrees of freedom \(v_2\) and upper-tail probabilities. The printed \(\alpha(1)\) row gives the one-tailed probability used directly for the F quantile, and the \(\alpha(2)\) row gives the corresponding doubled value used when relating these cutoffs to two-sided procedures.
The source files are available here:
These assets are stored in the repository and copied to the site as static resources, so standard site builds do not recompute the table. To rebuild it explicitly, run:
This table corresponds to a table of the same same by Zar (1999). It was created by taking a screeenshot of the table in the book, asking GPT-5.3-codex to create an R script to reproduce the table and typeset it in LaTeX.
References
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Citation
@online{smit2026,
author = {Smit, A. J.},
title = {30. {Critical} {Values} of the {*F*} {Distribution}},
date = {2026-04-17},
url = {https://tangledbank.netlify.app/BCB744/basic_stats/30-f-critical-values.html},
langid = {en}
}