Partitioning the Sums of Squares (6 of 7)
The ANOVA Summary Table
It is convenient to view the results of an analysis of variance in a
summary table. The summary table for the example data is shown below.
Source df Ssq Ms F p
Groups 2 8.000 4.000 3.60 0.071
Error 9 10.000 1.111
Total 11 18.000 1.636
The first column contains the source of variation (or source for
short). There are two sources of variation: differences among
treatment groups and error. The second column contains the
degrees of freedom (df). The df for groups
is always equal to the number of groups minus one. The df for error
is equal to the number of subjects minus the number of groups. The
formulas for the degrees of freedom are shown below:
df
groups = a - 1 = 3 - 1 = 2
df
error = N - a = 12 - 3 = 9
df
total = N - 1 = 12 - 1 = 11
a is the number groups
N is the total number of subjects.
df
total = df
groups + df
error