Control Factors Level 1 Level 2 Level 3 Stirring Time (ST) 10 15 20 Cast Temperature (CT) 650 700 750 Percentage Reinforcement (PR) 0 0.75 1.5 Giving the control factors and levels produce an L16 orthogonal array
Question
Control Factors Level 1 Level 2 Level 3 Stirring Time (ST) 10 15 20 Cast Temperature (CT) 650 700 750 Percentage Reinforcement (PR) 0 0.75 1.5 Giving the control factors and levels produce an L16 orthogonal array
Solution
An L16 orthogonal array is a 16-run experiment that can be used to study up to 15 factors at two levels each. However, in this case, we have 3 factors at 3 levels each.
Here's how you can set up an L16 orthogonal array for the given control factors and levels:
| Experiment | Stirring Time (ST) | Cast Temperature (CT) | Percentage Reinforcement (PR) |
|---|---|---|---|
| 1 | 10 | 650 | 0 |
| 2 | 10 | 650 | 0.75 |
| 3 | 10 | 650 | 1.5 |
| 4 | 10 | 700 | 0 |
| 5 | 10 | 700 | 0.75 |
| 6 | 10 | 700 | 1.5 |
| 7 | 10 | 750 | 0 |
| 8 | 10 | 750 | 0.75 |
| 9 | 15 | 650 | 0 |
| 10 | 15 | 650 | 0.75 |
| 11 | 15 | 650 | 1.5 |
| 12 | 15 | 700 | 0 |
| 13 | 15 | 700 | 0.75 |
| 14 | 15 | 700 | 1.5 |
| 15 | 15 | 750 | 0 |
| 16 | 15 | 750 | 0.75 |
Please note that this is just one possible L16 orthogonal array for the given control factors and levels. The actual array may vary depending on the specific requirements of your experiment.
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