Chapter 14
Two-Way Analysis of Variance
Chapter 14
Two-Way Analysis of Variance
I. Data Collection and Set-up...(Worked Problem)
A. Dependent Variables
B. Independent Variables (IV #1 = Columns, IV #2 = Rows)
| Column 1 | Column 2 | Column 3 | |
| Row 1 | Cell (1,1) | Cell (1,2) | Cell (1,3) |
| Row 2 | Cell (2,1) | Cell (2,2) | Cell (2,3) |
| Row 3 | Cell (3,1) | Cell (3,2) | Cell (3,3) |
II. Mean Squares
A. MSc = Mean Square Column
B. MSr = Mean Square Row
C. MSrxc = Mean Square Interaction
D. MSwg = Mean Square Within Groups
III. Degrees of Freedom
A. dfc = (Number of Columns) -1
B. dfr = (Number of Rows) -1
C. dfrxc = dfc X dfr
D. dfwg = (Total Number of Scores) - (Number of cells)
E. dft = (Total Number of Scores) -1
IV. Computation of Sums of Squares
A. Sums of Squares Total. . . . SStotal
B. Sums of Squares Columns. . . . SSc
C. Sums of Squares Rows. . . . SSr
D. Sums of Squares Within Groups. . . . SSwg
E. Sums of Squares Interaction. . . . SSrxc
V. Two-way Analysis of Variance Source Table
VI. Source Table
Source |
Sum of Squares |
df |
Mean Square |
F |
p |
| Columns | |||||
| Rows | |||||
| Interaction | |||||
| Within | |||||
| Total |
Copyright © 1999,2004 by Mark W. Vernoy