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Fitting Linear Models > Standard Least Squares Examples > Example of a Three-Way Full Factorial Model
Publication date: 04/21/2023

Example of a Three-Way Full Factorial Model

Use the Standard Least Squares personality of the Fit Model platform to fit a three-way full factorial model. You are interested in whether speed, angle, and material, or their interactions, have an effect on the amount of wear on a cutting tool.

1. Select Help > Sample Data Folder and open Tool Wear.jmp.

2. Select Analyze > Fit Model.

3. In the Select Columns list, select Wear and click Y.

4. In the Select Columns list, select Speed, Angle, and Material.

5. Select Macros > Full Factorial.

6. Click Run.

7. From the red triangle menu next to Response Wear, select Factor Profiling > Surface Profiler.

Tip: To add points to the plot, open the Appearance panel and click Actual. If you want to make the points appear larger, right-click in the plot, select Settings and adjust the Marker Size.

The Surface Profiler plots show the predicted response for Wear in terms of the two continuous effects Speed and Angle. The points for which Material is A are colored red, whereas those for which Material is B are colored blue. The difference in the form of the response surfaces across the levels of Material is a consequence of the three-way interaction.

To show plots for both Materials A and B, use the slider marked Material in the Independent Variables panel, setting it at 0 for Material A and 1 for Material B. Note that the table contains two data table scripts that produce Surface Profiler plots: Prediction and Surface Profilers and Surface Profilers for Two Materials.

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