6.3. Understanding Factor Effects

The total response from the factor A, B, and AB interaction is calculated as 64, 32, and 16, respectively for the four replications of an experiment with two levels for each factor. The total response from the control group is observed to be 4. What is the main effect of A?

10 points

11

44

5.5

22

Clear selection

The total response from the factor A, B, and AB interaction is calculated as 64, 32, and 16, respectively for the four replications of an experiment with two levels for each factor. The total response from the control group is observed to be 4. How is the main effect of A interpreted?

10 points

The average response increases by 11 if the treatment/factor is changed from the low level to high level

The average response increases by 22 if the treatment/factor is changed from the low level to high level.

The average response increases by 5.5 if the treatment/factor is changed from the low level to high level

The average response increases by 44 if the treatment/factor is changed from the low level to high level.

Clear selection

The total response from the factor A, B, and AB interaction is calculated as 64, 32, and 16, respectively for the four replications of an experiment with two levels for each factor. The total response from the control group is observed to be 4. What is the interaction effect of AB?

10 points

-76

-38

-9.5

-19

Clear selection

The total response from the factor A, B, and AB interaction is calculated as 64, 32, and 16, respectively for the four replications of an experiment with two levels for each factor. The total response from the control group is observed to be 4. How is the interaction effect of AB interpreted?

10 points

The average response decreases by 19 at the high level as compared to the low level of A if the treatment/factor B is changed from the low level to high level

The average response decreases by 9.5 at the high level as compared to the low level of A if the treatment/factor B is changed from the low level to high level

The average response decreases by 76 at the high level as compared to the low level of A if the treatment/factor B is changed from the low level to high level

The average response decreases by 38 at the high level as compared to the low level of A if the treatment/factor B is changed from the low level to high level

Clear selection