# Degree of Freedom Calculator

The number of values that stay throughout the final statistic calculation is expected to be different in statistics.

In simple words, These are the total amount of data applied in a calculation. We can determine the degrees of freedom to assure the statistical efficacy of t-tests, chi-square tests, and more difficult f-tests.'DF' is generally abbreviated as Degrees of freedom.

**Table of Contents**

## Formula of Degree of Freedom Calculator

The formulas used in the degree of freedom are listed below. The degree of freedom's number applies to the number of individualistic considerations in a sample, minus(-) the population parameters evaluated from given data.

The formula for One-Sample T-Test: DF = n − 1

The formula for Two-Sample T-Test: DF = n_{1}+ n_{2}− 2

The formula for Simple Linear Regression: DF = n − 2

The formula for Chi-Square Goodness of Fit Test: DF = k − 1

The formula for Chi-Square Test for Homogeneity: DF = (r − 1) (c − 1)

**Note:**

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### Examples

**Example 1:**

For better understanding, let us have some example questions below:

If the given data is in the form of sequence: x = 2, 8, 3, 6, 4, 2, 9, 5. Find the degree of freedom for them.

**Given data**

n = 8

As there is only one sample of data so we can apply the following formula here

The formula for One-Sample T-Test: DF = n − 1

Putting values,

DF = n - 1 = 8 - 1

DF = 7

**Example 2:**

If the given data is in the form of sequence: x = 12, 17, 19, 15, 25, 26 ,y = 18, 21, 32, 43. Find the degree of freedom for them.

**Given data**

n_{1}= 6

n_{2}= 4

As there are two samples of data so we can apply the following formula here,

The formula for Two-Sample T-Test: DF = n_{1}+ n_{2}− 2

Putting values,

DF = n_{1}+ n_{2}− 2

DF = 6 + 4 - 2

DF = 8

### How to use Degree of Freedom Calculator?

The steps to use a degree of freedom calculator are as follows:

**Step 1: **Enter the value of the sample mean in the first required input.

**Step 2: **The calculator will automatically display an answer on the screen.

### Calculator use

Using the degrees of freedom calculator can be more time-practical and helpful for you. Just put the data applied in the degrees of freedom formula, and gain the answer quickly. Get rid of practicing complex calculations by hand and utilize this free online calculator for the future.