Select the method or formula of your choice.

To calculate the means for each of the factors, sort the response values by Factor 1, Factor 2, Factor 3, etc… Then calculate the means from right to left.

For example, suppose Measurement is the response and the 3 factors are Operator, Part, and Subcomponent.

C1 | C2 | C3 | C4 |
---|---|---|---|

Measurement | Operator | Part | Subcomponent |

0.29 | A | 1 | A |

0.41 | A | 1 | A |

0.64 | A | 1 | B |

0.59 | A | 1 | B |

-0.56 | A | 2 | A |

-0.58 | A | 2 | A |

-0.48 | A | 2 | B |

-0.42 | B | 2 | B |

1.34 | B | 3 | B |

1.17 | C | 3 | A |

1.27 | C | 3 | A |

1.30 | C | 3 | B |

- Cell mean 1 = (0.29 + 0.41)/2 = 0.35
- Cell mean 2 = (0.64 + 0.59)/2 = 0.615
- Cell mean 3 = (-0.56 - 0.58)/2 = –0.57
- Cell mean 4 = -0.48
- Cell mean 5 = -0.42
- Cell mean 6 = 1.34
- Cell mean 7 = (1.17 + 1.27)/2 = 1.22
- Cell mean 8 = 1.30

- Mean 1 = (0.29 + 0.41 + 0.64+0.59)/4 = 0.4825
- Mean 2 = (-0.56 - 0.58 - 0.48)/3 = –0.54
- Mean 3 = -0.42
- Mean 4 = 1.34
- Mean 5 = (1.17 + 1.27 + 1.30)/3 = 1.246

- Mean 1 = (0.29+0.41+0.64+0.59-0.56-0.58-0.48)/7 = 0.044
- Mean 2 = (-0.42 + 1.34)/2 = 0.46
- Mean 3 = (1.17 + 1.27 + 1.30)/2 = 1.246

The overall mean = average of all response values.

The range bar within in each cell is produced by connecting the minimum data point with the maximum data point inside the cell. If there is no replicate in a cell, no range bar is produced for the cell.

The plotted points are the sample standard deviations within each cell. The mean of the standard deviations equals the average of all standard deviations.