Question

Sarah Ann designed, conducted, analyzed, wrote, and published an experiment. In the 2 x 4 ANOVA, the F value for art medium was 8.8 indicating a significant difference in the time it took to produce works of art using different mediums. The F value for size of the art work was 12, indicating a significant finding in the time it took to produce works of art of different sizes. The interaction was significant.

Questions:

a - What was the dependent variable?

b - What were the two independent variables?

c - What is the interaction term?

d - How many levels of Factor A were used?

e - How many levels of Factor B were used?

f - Should Sarah Ann draw any conclusions from her main effects? Explain your answer.

Answer 1

a. Dependent variable is works of art

b. Independent variables are art medium, size of art work and time.

c. The interaction term is works of art and size of arts work i.e works of art*Size

d. Factor A which comprised of 4 components has two levels

e. While factor B has four levels.

Note that we have two factors because it is a two factors experiment i.e two ways analysis of variance and the purpose is to see whether there is an interaction effect which exist and statistically significant