4 F tables and how to use them Easily

What is F table?

F table is a table of critical F values which are used in hypothesis testing. It is most commonly used in ANOVA hypothesis tests in statistics. You will get to understand and learn to find Critical F values from F tables.

Understanding the F table

There are three main values we need to know to understand and use an F table. The first value is ALPHA which also commonly known as the significance. Most common alpha values used are 0.1, 0.05, 0.025 and 0.01. There is different table for each Alpha value.

The second value we need to know is the DF1 or First Degree of Freedom. This value will be on the Top Row of any F table. Find the correct DF1 in top row from your specific problem and take a note of that column.

The third value is DF2 or Second Degree of Freedom. This value will be in the Left Column of the F table. The value which corresponds to DF1 and DF2 in the F table is the Critical F value that needs to be found.

F value for F table
tutorstats.com

F table for Alpha 0.1

F table for alpha 0.1 DF1 1 to 12 tutorstats,com
F table for alpha 0.1 DF1 1 to 12
F table for alpha 0.1 DF1 15 to Infinity tutorstats,com
F table for alpha 0.1 DF1 15 to Infinity

F Table for Alpha 0.05

F table for alpha 0.05 DF1 1 to 12 tutorstats,com
F table for alpha 0.05 DF1 1 to 12
F table for alpha 0.05 DF1 15 to Infinity tutorstats,com
F table for alpha 0.05 DF1 15 to Infinity

F Table for Alpha 0.025

F table for alpha 0.025 DF1 1 to 12 tutorstats,com
F table for alpha 0.025 DF1 1 to 12
F table for alpha 0.025 DF1 15 to Infinity tutorstats,com
F table for alpha 0.025 DF1 15 to Infinity

F Table for Alpha 0.01

F table for alpha 0.01 DF1 1 to 12 tutorstats,com
F table for alpha 0.01 DF1 1 to 12
F table for alpha 0.01 DF1 15 to Infinity tutorstats,com
F table for alpha 0.01 DF1 15 to Infinity

Practice With F Table

Find the Critical F values with the Following Data to become familiar with using F tables.

  1. Alpha 0.01 DF1 6 DF2 9
  2. Alpha 0.1 DF1 2 DF2 20
  3. Alpha 0.05 DF1 7 DF2 15
  4. Alpha 0.01 DF1 4 DF2 12
  5. Alpha 0.025 DF1 30 DF2 50
  6. Alpha 0.1 DF1 15 DF2 120
  7. Alpha 0.025 DF1 5 DF2 8
  8. Alpha 0.05 DF1 60 DF2 40
  9. Alpha 0.1 DF1 9 DF2 70
  10. Alpha 0.01 DF1 20 DF2 Infinity (Hint: use the bottom row infinity equivalence)

You can practice some F test and ANOVA problems for F tables here.

You can learn more about ANOVA here.

Leave a Reply

Your email address will not be published.

five × 5 =