28. Critical Values of the t Distribution
Reference Table and Reproducible Generator
This page reproduces the classic printed table of critical values for the t distribution, with degrees of freedom from \(\nu = 1\) to \(\nu = 1000\) and an additional asymptotic row for \(\nu = \infty\).
The continuation beyond 50 follows the same sampled degrees of freedom shown in the printed reference table: even values to 100, then progressively wider intervals through 1000.
The two header rows give equivalent tail areas:
- \(\alpha(2)\) for the two-sided test,
- \(\alpha(1)\) for the one-sided test.
The source files are available here:
The table assets are committed to the repository and shipped as static site resources, so they are not regenerated during a normal Quarto or Netlify build. To rebuild them 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.
The PDF below is produced by the R script and typeset in LaTeX.
References
Reuse
Citation
@online{smit2026,
author = {Smit, A. J.},
title = {28. {Critical} {Values} of the *t* {Distribution}},
date = {2026-04-17},
url = {https://tangledbank.netlify.app/BCB744/basic_stats/28-t-critical-values.html},
langid = {en}
}