Consider an experiment with eight ​groups, with two values in each.   a. How many degrees of freedom are there in determining the​ among-group variation? b. How many degrees of freedom are there in determining the​ within-group variation? c. How many degrees of freedom are there in determining the total​ variation?

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Consider an experiment with eight ​groups, with two values in each.

 
a. How many degrees of freedom are there in determining the​ among-group variation?
b. How many degrees of freedom are there in determining the​ within-group variation?
c. How many degrees of freedom are there in determining the total​ variation?
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Introduction

By among group variation, we can assume it to be the deviation of "Sample means" from "Grand mean", whereas the "within-group variation" represents the deviation amount of "Sample values' from 'Sample means"

If, c=number of groups     n=number of sample size in groups

Variation source Degree of freedom
Among Group c-1
Within Group n-c
Total n-1
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