# 4.2.2 - Nested Model in Minitab

4.2.2 - Nested Model in Minitab##
Minitab^{®}
– Nested Model

In Minitab, for the following (Nested Example Data):

`Stat` > `ANOVA` > `General Linear Model`

Enter the factors, shool and instructor in the Factors box, then click on the Random/Nested tab.

Here is where we specify the nested effect of instructor in schools.

Then in the Comparisons box, also specify for Terms School Instructor(School) and check the Tukey Method box.

You get the following output:

#### General Linear Model: response versus School, Instructor

Factor | Type | Levels | Values |
---|---|---|---|

School | fixed | 3 | Atlanta, Chicago, SanFran |

Instructor(School) | fixed | 6 | 1,2,1,2,1,2 |

##### Analysis of Variance for response, using Adjusted SS for Tests

Source | DF | Seq SS | Adj SS | Adj MS | F | P |
---|---|---|---|---|---|---|

School | 2 | 156.50 | 156.50 | 78.25 | 11.18 | 0.009 |

Instructor(School) | 3 | 567.50 | 567.50 | 189.17 | 27.02 | 0.001 |

Error | 6 | 42.00 | 42.00 | 7.00 | ||

Total | 11 | 766.00 |

S = 2.64575 R-Sq = 94.52% R-Sq(adj) = 89.95%

##### Grouping Information Using Tukey Method and 95.0% Confidence

School | N | Mean | Grouping |
---|---|---|---|

Atlanta | 4 | 19.8 | A |

Chicago | 4 | 14.3 | A B |

SanFran | 4 | 11.0 | B |

Means that do not share a letter are significantly different.

##### Grouping Information Using Tukey Method and 95.0% Confidence

School | Instructor | N | Mean | Grouping | |||
---|---|---|---|---|---|---|---|

Atlanta | 1 | 2 | 27.0 | A | |||

Chicago | 2 | 2 | 20.0 | A | B | ||

SanFran | 1 | 2 | 18.5 | A | B | C | |

Atlanta | 2 | 2 | 12.5 | B | C | D | |

Chicago | 1 | 2 | 8.5 | C | D | ||

SanFran | 2 | 2 | 3.5 | D |

Means that do not share a letter are significantly different.