Example: We consider a data set with a factor and several levels, as in the following table.
| Pieces | Measurements |
| 1 | 461.28 |
| 2 | 458.17 |
| 3 | 460.57 |
| 4 | 459.28 |
| 5 | 461.28 |
| 6 | 460.25 |
| 7 | 458.82 |
| 8 | 461.58 |
| 9 | 459.36 |
| 10 | 459.62 |
| 11 | 461.38 |
| 12 | 458.67 |
| 13 | 462.57 |
| 14 | 459.58 |
| 15 | 461.76 |
| 1 | 461.50 |
| 2 | 458.62 |
| 3 | 460.28 |
| 4 | 459.66 |
| 5 | 461.12 |
| 6 | 460.68 |
| 7 | 458.95 |
| 8 | 461.10 |
| 9 | 459.52 |
| 10 | 459.34 |
| 11 | 461.57 |
| 12 | 459.03 |
| 13 | 462.28 |
| 14 | 459.66 |
| 15 | 461.12 |
| 1 | 461.20 |
| 2 | 458.61 |
| 3 | 460.32 |
| 4 | 459.58 |
| 5 | 461.18 |
| 6 | 460.28 |
| 7 | 458.66 |
| 8 | 461.18 |
| 9 | 459.57 |
| 10 | 459.54 |
| 11 | 461.53 |
| 12 | 458.98 |
| 13 | 462.32 |
| 14 | 459.28 |
| 15 | 461.15 |
click here to download the data
To use the tool ANOVA (Random Factors) the user must follow these steps:
1. Access the menu:
Action 
ANOVA ANOVA (Random Factors)
2. The following screen will appear.
3. With the cursor in the field Data Set, select the columns that contain the data;
4. The titles of the columns can also be selected. If only data is selected, disable the option Columns with Name. Then, click the button Read;
5. Select the Response Variable, in the appropriate item;
6. In Factors, select the used factor in the analysis, in this case, Pieces.
7. In Show Results, choose one of the options. We suggest the option New Sheet, because Action does not have the undo command;
REMARK: The names can not contain symbols, space or tab.
Results and Interpretation
Once the process is finished, the following results will be shown:
The table indicates that the pieces are different, since the P-value for that factor (pieces) is smaller than the predetermined significance level α of 5%.
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