The results of a​ two-way ANOVA using the accompanying data andhypothesis tests for interaction between Factor A and Factor B andfor each factor are provided below. Using these data and​ results,determine which means are different using α= 0.01whenwarranted.
| |
Factor A | |
FactorB | Level 1 | Level 2 | Level 3 | |
Level 1 | 66 | 88 | 1010 | |
| 77 | 1212 | 3232 | |
| 1010 | 1919 | 3030 | |
Level 2 | 2828 | 3030 | 3030 | |
| 1111 | 2020 | 3838 | |
| 1616 | 2020 | 3939 | |
Level 3 | 3535 | 4040 | 4242 | |
| 3131 | 2929 | 4141 | |
| 2121 | 4040 | 3232 | |
Are the means for Factor​ A, Level 1 and Factor​ A,Level 2 significantly​ different?
A.Yes
B. No
C.The comparison is unwarranted because there is insufficientevidence to conclude that not all Factor A means are equal.
D.The comparison is unwarranted because Factor A and Factor Binteract.
Are the means for Factor​ A, Level 1 and Factor​ A,Level 3 significantly​ different?
A.Yes
B. No
C.The comparison is unwarranted because there is insufficientevidence to conclude that not all Factor A means are equal.
D.The comparison is unwarranted because Factor A and Factor Binteract.
Are the means for Factor​ A, Level 2 and Factor​ A,Level 3 significantly​ different?
A.Yes
B.No
C.The comparison is unwarranted because there is insufficientevidence to conclude that not all Factor A means are equal.
D.The comparison is unwarranted because Factor A and Factor Binteract.
Are the means for Factor​ B, Level 1 and Factor​ B,Level 2 significantly​ different?
A.Yes
B.No
C.The comparison is unwarranted because there is insufficientevidence to conclude that not all Factor B means are equal.
D.The comparison is unwarranted because Factor A and Factor Binteract.
Are the means for Factor​ B, Level 1 and Factor​ B,Level 3 significantly​ different?
A.No
B.Yes
C.The comparison is unwarranted because there is insufficientevidence to conclude that not all Factor B means are equal.
D.The comparison is unwarranted because Factor A and Factor Binteract.
Are the means for Factor​ B, Level 2 and Factor​ B,Level 3 significantly​ different?
A.No
B.Yes
C.The comparison is unwarranted because there is insufficientevidence to conclude that not all Factor B means are equal.
D.The comparison is unwarranted because Factor A and Factor Binteract.