Homework SourseThe following data were obtained from a twofactor independen
The following data were obtained from a two-factor independent-measures experiment with n = 5 participants in each treatment condition.
B1 B2 B3
a. State the hypotheses for each of the three separate tests included in the two-factor ANOVA.
b. Calculate degrees of freedom and locate the critical region for each of the three tests.
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 |
Solution
a. The hypotheses for each of the three separate tests included in the two-factor ANOVA is
Null Hypothesis:-
H10: The population mean for A is equal.
H20: The population mean for B is equal.
H30: There is no interaction between A and B.
Alternative Hypothesis:-
H10: The population mean for A is not equal.
H20: The population mean for B is not equal.
H30: There is interaction between A and B.
b. The degrees of freedom and the critical region for each of the three tests is given as
Test 1: df = a-1 = 2-1 = 1 and critical value = 12.7062
Test 2: df = b-1 = 3-1 = 2 and critical value = 4.3027
Test 3: df = (a-1)(b-1) = (2-1)(3-1) = 2 and critical value = 4.3027
