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Modeling and Multivariate Methods - SAS

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70 Fitting St<strong>and</strong>ard Least Squares Models Chapter 3<br />

Estimates<br />

Joint Factor Tests<br />

This option appears when interaction effects are present. For each main effect in the model, JMP produces a<br />

joint test on all the parameters involving that main effect.<br />

Example of a Joint Factor Tests Report<br />

1. Open the Big Class.jmp sample data table.<br />

2. Select Analyze > Fit Model.<br />

3. Select weight <strong>and</strong> click Y.<br />

4. Select age, sex, <strong>and</strong> height <strong>and</strong> click Macros > Factorial to degree.<br />

5. Click Run.<br />

6. From the red triangle next to Response weight, select Estimates > Joint Factor Tests.<br />

Figure 3.9 Joint Factor Tests for Big Class model<br />

Note that age has 15 degrees of freedom; it is testing the five parameters for age, the five parameters for<br />

age*sex, <strong>and</strong> the five parameters for height*age. All parameters tested to be zero.<br />

Inverse Prediction<br />

To find the value of x for a given y requires inverse prediction, sometimes called calibration. The Inverse<br />

Prediction option on the Estimates menu lets you ask for the specific value of one independent (X)<br />

variable given a specific value of a dependent variable <strong>and</strong> other x values (Figure 3.11). The inverse<br />

prediction computation includes confidence limits (fiducial limits) on the prediction.<br />

Example of Inverse Prediction<br />

1. Open the Fitness.jmp sample data table.<br />

2. Select Analyze > Fit Y by X.<br />

3. Select Oxy <strong>and</strong> click Y, Response.<br />

4. Select Runtime <strong>and</strong> click X, Factor.<br />

When there is only a single X, as in this example, the Fit Y by X platform can give you a visual<br />

approximation of the inverse prediction values.<br />

5. Click OK.<br />

6. From the red triangle menu, select Fit Line.

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