Question

The following data were obtained from a two-factor independent-measures experiment with n = 5 participants in each treatment condition. Note: Since you do not have the sum of X2, we need to calculate SSbtn using the equation from the lecture video and formula sheet. B1 B2 B3 A1 M = 3 T = 15 SS = 18 M = 6 T = 30 SS = 28 M = 9 T = 45 SS = 26 A2 M = 1 T = 5 SS = 8 M = 4 T = 20 SS = 20 M = 1 T = 5 SS = 20 a. Calculate degrees of freedom and locate the critical region for each of the three tests. b. Calculate the three F-ratios.

Answer 1

a. Degrees of freedom:

• For Factor A (Rows): dfA = Number of levels minus 1
• For Factor B (Columns): dfB = Number of levels minus 1
• Interaction: dfAB = (dfA) × (dfB)

Can you provide the number of levels for each factor (B1, B2, B3, A1, A2)?