In the analysis of variance study, if we consider 3 treatments, in which we have 4 observations for the first treatment, 5 observations for the second treatment, and 6 observations for the third treatment. Then, the degrees of freedom associated with SSE in each case is 2, 3, and 4, respectively.
Degrees of Freedom Associated with SSE
The number of degrees of freedom in statistics refers to the quantity of values that can fluctuate in a statistic's final calculation. Various amounts of data or information can be used to estimate statistical parameters.
In order to find the degrees of freedom associated with SSE in an Analysis of Variance (ANOVA) study, we subtract 2 from the number of observations. In n is the number of observations, then (n-2) gives the degrees of freedom associated with SSE.
Thus, for the first treatment, n = 4
ā Degrees of freedom = 4-2
= 2
For the second treatment, n = 5
ā Degrees of freedom = 5-2
= 3
For the third treatment, n = 6
ā Degrees of freedom = 6-2
= 4
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