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Food scientists are developing a new healthier breakfast cereal that still tastes good. They want to identify the combination of three sweeteners that optimize taste. Because previous research has determined that the relationship is curvilinear, the scientists start by creating a Box-Behnken design.
The first table gives a summary of the design, which includes the total number of factors, runs, blocks, and replicates.
The design table displays the factor settings for each experimental run using coded factor names and levels. For example, in the first run, Factor A and C are at level −1 and Factors B is at level 0. With 3 factors, the design has 15 runs. In the worksheet, Minitab displays the names of the factors and the levels.
Minitab randomizes the design by default, so when you create this design, the run order will not match the order in the example output.
| Factors: | 3 | Replicates: | 1 |
|---|---|---|---|
| Base runs: | 15 | Total runs: | 15 |
| Base blocks: | 1 | Total blocks: | 1 |
| Run | Blk | A | B | C |
|---|---|---|---|---|
| 1 | 1 | -1 | 0 | -1 |
| 2 | 1 | -1 | 0 | 1 |
| 3 | 1 | -1 | -1 | 0 |
| 4 | 1 | 1 | -1 | 0 |
| 5 | 1 | 1 | 0 | -1 |
| 6 | 1 | 0 | -1 | -1 |
| 7 | 1 | 1 | 0 | 1 |
| 8 | 1 | -1 | 1 | 0 |
| 9 | 1 | 0 | 1 | 1 |
| 10 | 1 | 1 | 1 | 0 |
| 11 | 1 | 0 | -1 | 1 |
| 12 | 1 | 0 | 0 | 0 |
| 13 | 1 | 0 | 0 | 0 |
| 14 | 1 | 0 | 0 | 0 |
| 15 | 1 | 0 | 1 | -1 |
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