ANOVA with Between- and Within- Subject Variables (3 of 3)

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Next chapter: Prediction

The formulas for the degrees of freedom for each effect are summarized below:

• df Age = k - 1 = 2 - 1 = 1
• df error(Age) = N - k = 8 - 2 = 6
• df Trials = t - 1 = 5 - 1 = 4
• df Age x Trials = df Age x df Trials = 1 x 4 = 4
• df error(Trials and Age x Trials)= df error (Age) x df Trials = 6 x 4 = 24
• df total = Nt - 1 = 8 x 5 - 1 = 39

k is the number of levels of the between-subject variable; t is the number of trials (each day); N is the total number of subjects.

Sums of Squares
Computational formulas for the sums of squares will not be given since it is assumed that complex analyses will not be done by hand.

Mean Squares
As always, a mean square is computed by dividing the sum of squares by the degrees of freedom.

F Ratios
The F ratio for each effect is the mean square for the test divided by the mean square error for the effect.

Next chapter: Prediction