 |
New format available! This reference is now available in a new format that offers faster page load, improved display for calculations and images and more targeted search.
As of January 2024, this Reliawiki page will not continue to be updated. Please update all links and bookmarks to the latest references at DOE examples and DOE reference examples.
|
Two Level Factorial Design |
This example validates the calculation of the two level factorial design.
Reference Case
Data is from an example on page 223 in 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++
Your text here.