# Two Level Factorial Design

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Two Level Factorial Design |

This example validates the calculation of the two level factorial design in DOE++.

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.