ANOVA with One Within-subject Variable (2 of 4)
Source df Ssq Ms F p
Subjects 3 1888.375 629.458
Condition 1 15.125 15.125 121.00 0.002
Error 3 0.375 0.125
Total 7 1903.875 271.982
Degrees of Freedom
The degrees of freedom for subjects is always N-1 where N is the
number of subjects. For this problem: N-1 = 4 - 1 = 3.
The degrees of freedom for the independent variable (Condition) is
always equal to the number of
levels of
the independent variable minus 1. For this example, the degrees of
freedom is 2 - 1 = 1 since there are two conditions (experimental and
control).
The degrees of freedom error is always the product of the degrees
of freedom for Subjects and the degrees of freedom for the
independent variable. For this example, the degrees of freedom is
equal to 3 x 1 = 3. The degrees of freedom total is equal to the
total number of numbers in the analysis minus 1. For this example,
there are eight numbers so the degrees of freedom is equal to 8 - 1 =
7. Notice that the degrees of freedom for Subjects, Conditions, and
Error add up to the degrees of freedom total 3 + 1 + 3 = 7.