1. a. What are the main objectives of Experimental Design?
b. List the steps for designing an experiment
c. What is Randomization? List the situation in which randomization is very important.
d. Define Replication. What does it enables the experimenter to achieve
One way ANOVA
2. Data have been collected to test whether the thickness of a poly silicon coating depends upon the deposition temperature. Test whether there is any difference in the thickness at different temperature levels at α = 0.05 (See Table 1).
Table 1
Temperature Polysilicon Thickness
|
1
|
110
|
112
|
109
|
115
|
|
2
|
105
|
99
|
100
|
103
|
|
3
|
115
|
120
|
109
|
117
|
|
4
|
102
|
110
|
108
|
102
|
3. A chemical engineer has reason to believe that the batches of raw materials used in the manufacture of a compound differ significantly in Nitrogen content. Currently the company uses many batches: for this study, the engineer randomly selected five of these batches and recorded 3 observations on each batch. The data is in Table 2. Conduct ANOVA at α = 0.01 and test whether there is any difference
Table - Batches
| 1 |
2 |
3 |
4 |
5 |
| 8.5 |
8.4 |
8.4 |
8.5 |
8.9 |
| 8.6 |
8.5 |
8.9 |
8.4 |
8.6 |
| 8.2 |
8.3 |
8.2 |
8.2 |
8.2 |