Suppose you want to determine whether the brand of laundry detergent used and the temperature affects the amount of dirt removed from your laundry. To this end, you buy two different brand of detergent ("Super" and "Best") and choose three different temperature levels ("cold", "warm", and "hot"). Then you divide your laundry randomly into 6xr piles of equal size and assign each r piles into the combination of ("Super" and "Best") and ("cold", "warm", and "hot").

a. Choose an appropriate model to check for significant main and interaction effects.

b. Test the hypotheses that the amount of din removed does not depend on the type of detergent.

c. Describe the plots used to judge for presence of interaction? Can you draw the plots for this experiment, what can you infer from them?

d. Study post-hoc analysis for interaction effects between the levels cold and hot. (Hand calculations)

Transcribed Image Text:

Detergent Super Best Cold 5, 6, 5 4, 6, 6, 4, 4 Temperature Warm 7, 9, 8, 12 13, 15, 12, 12 Hot 10, 12, 11, 9 12, 13, 10, 13 Detergent Super Best Cold 5, 6, 5 4, 6, 6, 4, 4 Temperature Warm 7, 9, 8, 12 13, 15, 12, 12 Hot 10, 12, 11, 9 12, 13, 10, 13

Answer rating: 100% (QA)

a The appropriate model is the two way ANOVA b The estimated pv... View the full answer