5.6 - Fully Nested Random Effects in Minitab

Minitab 18

Minitab®  – Fully Nested Random Effects

Minitab has a separate program just for this type of analysis for our example (Quality Data ), under:

Stat > ANOVA > Fully Nested ANOVA

and you specify the model in the boxes provided:

Minitab full nested ANOVA dialog box

The output you get is very comprehensive and includes the variance components expressed as percentages.

Nested ANOVA: Temp versus Plant, Operator, Shift

Analysis of Variance for Temp
Source DF SS MS F P
Plant 3 731.5156 243.8385 5.854 0.011
Operator 12 499.8125 41.6510 1.303 0.248
Shift 48 1534.9167 31.9774 2.578 0.000
Error 128 1588.0000 12.4062    
Total 191 4354.2448      
Variance Components
Source Var Comp. # of Total StDev
Plant 4.212 17.59 2.052
Operator 0.806 3.37 0.898
Shift 6.524 27.24 2.554
Error 12.406 51.80 3.522
Total 23.948   4.894
Expected Mean Squares
1 Plant 1.00(4) + 3.00(3) + 12.00(2) + 48.00(1)
2 Operator 1.00(4) + 3.00(3) + 12.00(2)
3 Shift 1.00(4) + 3.00(3)
4 Error 1.00(4)