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.

minitab output

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.


Legend
[1]Link
Has Tooltip/Popover
 Toggleable Visibility