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Two Level Factorial Design |
This example validates the calculation of the two level factorial design in Weibull++.
Reference Case
The data are from an example on page 223 in the book Design and Analysis of Experiments by Douglas C. Montgomery, John Wiley & Sons, 2001.
Data
| Factor | Treatment Combination | Replicate | |||
|---|---|---|---|---|---|
| A | B | 1 | 2 | 3 | |
| - | - | A low, B low | 28 | 25 | 27 |
| + | - | A high, B low | 36 | 32 | 32 |
| - | + | A low, B high | 18 | 19 | 23 |
| + | + | A high, B high | 31 | 30 | 29 |
Result
Table 6-1 from the book shows the ANOVA table for this experiment.
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F value | P-Value |
|---|---|---|---|---|---|
| A | 208.33 | 1 | 208.33 | 53.15 | 0.0001 |
| B | 75.00 | 1 | 75.00 | 19.13 | 0.0024 |
| AB | 8.33 | 1 | 8.33 | 2.13 | 0.1826 |
| Error | 31.34 | 8 | 3.92 | ||
| Total | 323.00 | 11 |
Results in DOE++
The results from the software are the same as the results from the book. Both show that A and B are significant factors.
