Degrees of Freedom
In order to calculate the degrees of freedom for between-subjects effects, dfBS = R – 1, where R refers to the number of levels of between-subject groups.
In the case of the degrees of freedom for the between-subject effects error, dfBS(Error) = Nk – R, where Nk is equal to the number of participants, and again R is the number of levels.
To calculate the degrees of freedom for within-subject effects, dfWS = C – 1, where C is the number of within-subject tests. For example, if participants completed a specific measure at three time points, C = 3, and dfWS = 2.
The degrees of freedom for the interaction term of between-subjects by within-subjects term(s), dfBSXWS = (R – 1)(C – 1), where again R refers to the number of levels of the between-subject groups, and C is the number of within-subject tests.
Finally, the within-subject error is calculated by, dfWS(Error) = (Nk – R)(C – 1), in which Nk is the number of participants, R and C remain the same.
Read more about this topic: Mixed-design Analysis Of Variance
Famous quotes containing the words degrees of, degrees and/or freedom:
“So that the life of a writer, whatever he might fancy to the contrary, was not so much a state of composition, as a state of warfare; and his probation in it, precisely that of any other man militant upon earth,—both depending alike, not half so much upon the degrees of his WIT—as his RESISTANCE.”
—Laurence Sterne (1713–1768)
“By degrees we may come to know the primitive sense of the permanent objects of nature, so that the world shall be to us an open book, and every form significant of its hidden life and final cause.”
—Ralph Waldo Emerson (1803–1882)
“Do we call this the land of the free? What is it to be free from King George and continue the slaves of King Prejudice? What is it to be born free and not to live free? What is the value of any political freedom, but as a means to moral freedom? Is it a freedom to be slaves, or a freedom to be free, of which we boast?”
—Henry David Thoreau (1817–1862)