# Multiple test correction: Bonferroni, FDR

Multiple test correction methods are used to control the increased risk of Type I errors (false positives) when performing multiple statistical tests simultaneously. Multiple testing corrections adjust p-values derived from multiple statistical tests to correct for occurrence of false positives.

Watch this video to take a closer look at Type I and Type II errors:

{% embed url="<https://youtu.be/7mE-K_w1v90?si=SqIcoQWWE4Q_W2JA>" %}

### The Bonferroni correction

The Bonferroni correction is a straightforward and conservative approach that adjusts the significance level by dividing it by the number of tests performed. This reduces the likelihood of false positives but can also increase the risk of Type II errors (false negatives) due to its stringent nature.&#x20;

{% embed url="<https://www.youtube.com/watch?t=389s&v=HLzS5wPqWR0>" %}

### The False Discovery Rate

The False Discovery Rate (FDR) method, such as the Benjamini-Hochberg procedure, is a less conservative approach that controls the expected proportion of false positives among the rejected hypotheses. FDR methods are more powerful than the Bonferroni correction, allowing for the identification of more true positives while still controlling for false discoveries. This makes FDR particularly useful in large-scale testing scenarios, such as genomic studies, where a large number of tests are conducted simultaneously.

{% embed url="<https://www.youtube.com/watch?v=K8LQSvtjcEo>" %}

<br>


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://edu.abi.am/statistics-theory/multiple-test-correction-bonferroni-fdr.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.
