---
title: Bonferroni correction
description: "This is the simplest way to \"correct\" for the [multiple tests problem](https://www.psyctc.org/psyctc/glossary2/multiple-tests-problem/). #### Details Read the [multiple tests problem](https://www.psyctc.org/psyctc/glossary2/multiple-tests-problem/) entry in this glossary then go to my [Rblog](https://www.psyctc.org/Rblog/index.html) post [here](https://www.psyctc.org/Rblog/posts/2023-12-23-bonferroni-correction/) for the detail. You may also want to play with…"
url: "https://www.psyctc.org/psyctc/glossary2/bonferroni-correction/"
updated: "2026-09-21"
category: All OM book glossary entries
---

# Bonferroni correction

This is the simplest way to "correct" for the [multiple tests problem](https://www.psyctc.org/psyctc/glossary2/multiple-tests-problem/).

#### Details

Read the [multiple tests problem](https://www.psyctc.org/psyctc/glossary2/multiple-tests-problem/) entry in this glossary then go to my [Rblog](https://www.psyctc.org/Rblog/index.html) post [here](https://www.psyctc.org/Rblog/posts/2023-12-23-bonferroni-correction/) for the detail. You may also want to play with [my shiny app](https://shiny.psyctc.org/apps/Bonferroni/) which allows you to look at the trade off between control of the overall false positive rate and statistical power that cannot be escaped: the Bonferroni correction preserves the false positive rate which is very important, but it cannot do that without losing statistical power.

#### Try also

[Holm-Bonferroni method](https://www.psyctc.org/psyctc/glossary2/holm-bonferroni-method/)
[Multiple tests problem](https://www.psyctc.org/psyctc/glossary2/multiple-tests-problem/)
[Null hypothesis significance testing (NHST)](https://www.psyctc.org/psyctc/glossary2/null-hypothesis-significance-testing-nhst-paradigm/)
Statistical power

#### Chapters

Not discussed in the OMbook.

#### Online resources

[Rblog post](https://www.psyctc.org/Rblog/posts/2023-12-23-bonferroni-correction/) about the Bonferroni correction
[Shiny app](https://shiny.psyctc.org/apps/Bonferroni/) to look at costs of the correction in terms of statistical power
[Rblog post about the Holm-Bonferroni method](https://www.psyctc.org/Rblog/posts/2026-09-18-holm-bonferroni-method/) (an extension of the Bonferroni method)

#### Dates

First created 24.xii.23, tweaked to add link to Holm-Bonferroni method 21.ix.26.