F Distribution Table PDF (with free download)

The F distribution is a type of probability distribution used in statistics. It is commonly applied in tests that compare variances, such as ANOVA and regression analysis. Understanding the F distribution helps researchers decide whether differences between groups are statistically significant. One of the most important tools for working with the F distribution is the F distribution table. This table lists critical values for different numerator and denominator degrees of freedom at various significance levels. By using it, you can quickly determine the threshold for rejecting a null hypothesis. Below is a quick reference F distribution table you can use to find critical values for your statistical tests.

F-Distribution Table PDF Download

The F distribution table shows critical values used to decide if differences between groups are statistically significant. Our table includes common numerator and denominator degrees of freedom and covers several significance levels, including α = 0.005, α = 0.01, α = 0.025, α = 0.05, and α = 0.10.

• Rows represent the numerator degrees of freedom.
• Columns represent the denominator degrees of freedom.
• Values in the table are the critical F values for each combination of df and significance level.

Using this table, you can quickly find the critical F value for your hypothesis test. For convenience, you can also download the free F-distribution Table pdf version for offline use.

How to Read the F Distribution Table

Reading the F distribution table may seem tricky at first, but it is simple once you know the steps. This table helps you find the critical F value needed to test your hypothesis. By following a few clear steps, you can use it correctly and avoid common mistakes.

Here are the steps for finding F-critical value from F-tables:

1. Identify degrees of freedom. Determine the numerator and denominator degrees of freedom for your test.
2. Choose the significance level (α). Common values are 0.10, 0.05, 0.025, 0.01, or 0.005.
3. Locate the critical F value. Find the value at the intersection of the row (numerator df) and column (denominator df) for your chosen α.

Finding F-Critical Values from Tables (With Example)

Finding the critical F value is simple once you know how to read the table. To get the correct critical F value, follow these steps:

1. Choose the correct F table based on your significance level (α).
2. Locate the intersection of the numerator and denominator degrees of freedom to find the critical value

Example 1: Suppose you are testing at α = 0.05. Assuming the numerator df =2 and the denominator df = 27. Find the critical F value using the F-tables.

Solution

To find the critical value from the F-critical tables:

• Locate the correct table with α = 0.05.
• Look for 2 in the row and 27 in the denominator.
• The intersection of these two values gives 3.35 (confirm this from the pdf table)

Looking for a quick and easy way to find F critical values without scanning the table? Try our F Critical Value Calculator. Simply enter your numerator and denominator degrees of freedom along with your significance level, and the calculator will instantly give you the critical F value. It’s fast, accurate, and perfect for homework, exams, or research.