Suppose that in problem 11.52, when setting up the experiment, the effects of the store outlet location (university, large shopping centre, street location) was studied in addition to the company name. Thus, instead of the one-factor completely randomised design given in problem 11.52, the experiment used a two-factor factorial design, the first factor, outlet, having three levels (Boost, Naked and Funky) and the second factor, outlet location, having three levels (university, large shopping centre and street location). The data is available in the data file < JUICE2 >. 1. At the 0.05 level of significance: i. is there a significant interaction between outlet name and location? ii. is there an effect due to outlet name? iii. is there an effect due to outlet location? 2. Plot the mean price for the three outlets for each location.Describe the interaction and discuss why you can or cannot interpret the main effects in (i) and (ii) above. 3. On the basis of the results of (a) and (b), what conclusions can you reach concerning fruit smoothie prices? Discuss. 4. Compare and contrast your results in (a) to (c) with those from the completely randomised design in problem 11.52(a) to (c). Boost juice Naked juice Funky juice University 7.50 9.80 9.20 7.50 9.30 9.70 8.90 7.70 10.40 7.00 9.60 10.00 Shopping centre 10.40 8.40 7.90 9.80 10.30 7.90 5.60 9.60 8.20 7.40 11.20 10.60 Street 4.90 6.40 8.40 7.80 6.20 8.50 5.00 4.50 5.50 4.40 7.40 8.90
Suppose that in problem 11.52, when setting up the experiment, the effects of the store outlet location (university, large shopping centre, street location) was studied in addition to the company name. Thus, instead of the one-factor completely randomised design given in problem 11.52, the experiment used a two-factor factorial design, the first factor, outlet, having three levels (Boost, Naked and Funky) and the second factor, outlet location, having three levels (university, large shopping centre and street location). The data is available in the data file < JUICE2 >.
1. At the 0.05 level of significance:
i. is there a significant interaction between outlet name and location?
ii. is there an effect due to outlet name?
iii. is there an effect due to outlet location?
2. Plot the mean price for the three outlets for each location.Describe the interaction and discuss why you can or cannot interpret the main effects in (i) and (ii) above.
3. On the basis of the results of (a) and (b), what conclusions can you reach concerning fruit smoothie prices? Discuss.
4. Compare and contrast your results in (a) to (c) with those from the completely randomised design in problem 11.52(a) to (c).
| Boost juice | Naked juice | Funky juice | |
| University | 7.50 | 9.80 | 9.20 |
| 7.50 | 9.30 | 9.70 | |
| 8.90 | 7.70 | 10.40 | |
| 7.00 | 9.60 | 10.00 | |
| Shopping centre | 10.40 | 8.40 | 7.90 |
| 9.80 | 10.30 | 7.90 | |
| 5.60 | 9.60 | 8.20 | |
| 7.40 | 11.20 | 10.60 | |
| Street | 4.90 | 6.40 | 8.40 |
| 7.80 | 6.20 | 8.50 | |
| 5.00 | 4.50 | 5.50 | |
| 4.40 | 7.40 | 8.90 |
Step by step
Solved in 5 steps
