Degrees of Freedom in Independent Samples t Test Solution

STEP 0: Pre-Calculation Summary
Formula Used
Degrees of Freedom = Size of Sample X+Size of Sample Y-2
DF = NX+NY-2
This formula uses 3 Variables
Variables Used
Degrees of Freedom - Degrees of Freedom is the number of values in the final calculation of a statistic that are free to vary. It varies based on the specific statistical test or analysis being conducted.
Size of Sample X - Size of Sample X is the number of individuals or items in Sample X.
Size of Sample Y - Size of Sample Y is the number of individuals or items in Sample Y.
STEP 1: Convert Input(s) to Base Unit
Size of Sample X: 6 --> No Conversion Required
Size of Sample Y: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
DF = NX+NY-2 --> 6+4-2
Evaluating ... ...
DF = 8
STEP 3: Convert Result to Output's Unit
8 --> No Conversion Required
FINAL ANSWER
8 <-- Degrees of Freedom
(Calculation completed in 00.004 seconds)

Credits

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Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Verified by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
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Degrees of Freedom in Independent Samples t Test Formula

​LaTeX ​Go
Degrees of Freedom = Size of Sample X+Size of Sample Y-2
DF = NX+NY-2

What is Degree of Freedom in Statistics?

In inferential statistics, we estimate a parameter of a population by calculating a statistic of a sample. The number of independent pieces of information used to calculate the statistic is called the degrees of freedom. The degrees of freedom of a statistic depend on the sample size. When the sample size is small, there are only a few independent pieces of information, and therefore only a few degrees of freedom. When the sample size is large, there are many independent pieces of information, and therefore many degrees of freedom.
Although degrees of freedom are closely related to sample size, they’re not the same thing. There are always fewer degrees of freedom than the sample size.
When we estimate a parameter, we need to introduce restrictions in how values are related to each other. As a result, the pieces of information are not all independent. To put it another way, the values in the sample are not all free to vary.

How to Calculate Degrees of Freedom in Independent Samples t Test?

Degrees of Freedom in Independent Samples t Test calculator uses Degrees of Freedom = Size of Sample X+Size of Sample Y-2 to calculate the Degrees of Freedom, Degrees of Freedom in Independent Samples t Test formula is defined as the number of values in the final calculation of a statistic that are free to vary. It varies based on the specific statistical test or analysis being conducted in the independent sample t test of given data sample. Degrees of Freedom is denoted by DF symbol.

How to calculate Degrees of Freedom in Independent Samples t Test using this online calculator? To use this online calculator for Degrees of Freedom in Independent Samples t Test, enter Size of Sample X (NX) & Size of Sample Y (NY) and hit the calculate button. Here is how the Degrees of Freedom in Independent Samples t Test calculation can be explained with given input values -> 20 = 6+4-2.

FAQ

What is Degrees of Freedom in Independent Samples t Test?
Degrees of Freedom in Independent Samples t Test formula is defined as the number of values in the final calculation of a statistic that are free to vary. It varies based on the specific statistical test or analysis being conducted in the independent sample t test of given data sample and is represented as DF = NX+NY-2 or Degrees of Freedom = Size of Sample X+Size of Sample Y-2. Size of Sample X is the number of individuals or items in Sample X & Size of Sample Y is the number of individuals or items in Sample Y.
How to calculate Degrees of Freedom in Independent Samples t Test?
Degrees of Freedom in Independent Samples t Test formula is defined as the number of values in the final calculation of a statistic that are free to vary. It varies based on the specific statistical test or analysis being conducted in the independent sample t test of given data sample is calculated using Degrees of Freedom = Size of Sample X+Size of Sample Y-2. To calculate Degrees of Freedom in Independent Samples t Test, you need Size of Sample X (NX) & Size of Sample Y (NY). With our tool, you need to enter the respective value for Size of Sample X & Size of Sample Y and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Degrees of Freedom?
In this formula, Degrees of Freedom uses Size of Sample X & Size of Sample Y. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Degrees of Freedom = Sample Size-1
  • Degrees of Freedom = Sample Size-2
  • Degrees of Freedom = Number of Groups-1
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