6.5.1: Using Minitab
- Page ID
- 33668
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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:
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) |