False Discovery Rate Calculator

Calculate False Discovery Rate (FDR)



Formula

The formula to calculate the False Discovery Rate (FDR) is:

\[ FDR = \frac{FD}{T} \times 100 \]

Where:

Example

Let's say the number of false discoveries (\( FD \)) is 5 and the number of tests performed (\( T \)) is 100. Using the formula:

\[ FDR = \frac{5}{100} \times 100 \]

We get:

\[ FDR = 5 \% \]

So, the False Discovery Rate (\( FDR \)) is 5%.

What is False Discovery Rate?

The False Discovery Rate (FDR) is a metric used to indicate the proportion of false discoveries among the total number of tests performed. It is commonly used in multiple hypothesis testing to control the expected proportion of incorrect rejections of the null hypothesis. A lower FDR indicates a more reliable set of results.

Extended information about "False-Discovery-Rate-Calculator"

False Discovery Rate Explained

Definition: The false discovery rate (FDR) is the expected proportion of false positives among all significant tests.

Formula: \( \text{FDR} = \frac{V}{V + S} \)

Example: \( \text{FDR} = \frac{5}{5 + 20} \)

False Discovery Rate Estimation

Definition: Estimating the false discovery rate involves calculating the expected proportion of false positives among significant results.

Formula: \( \text{FDR} = \frac{V}{V + S} \)

Example: \( \text{FDR} = \frac{3}{3 + 15} \)

False Discovery Rate Method

Definition: The false discovery rate method controls the expected proportion of false positives among significant results.

Formula: \( \text{FDR} = \frac{V}{V + S} \)

Example: \( \text{FDR} = \frac{4}{4 + 25} \)

False Discovery Rate Interpretation

Definition: Interpreting the false discovery rate involves understanding the proportion of false positives among significant results.

Formula: \( \text{FDR} = \frac{V}{V + S} \)

Example: \( \text{FDR} = \frac{2}{2 + 10} \)

What is an Acceptable False Discovery Rate

Definition: An acceptable false discovery rate is a threshold below which the proportion of false positives is considered tolerable.

Formula: \( \text{FDR} = \frac{V}{V + S} \)

Example: \( \text{FDR} = \frac{1}{1 + 9} \)

What is a Good False Discovery Rate

Definition: A good false discovery rate is a low proportion of false positives among significant results, indicating high reliability.

Formula: \( \text{FDR} = \frac{V}{V + S} \)

Example: \( \text{FDR} = \frac{2}{2 + 18} \)