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Basic Analysis and Graphing - SAS

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Chapter 7 Performing Simple Logistic Regression 231<br />

Additional Examples of Logistic Regression<br />

Figure 7.9 Examples of ROC Curve <strong>and</strong> Table<br />

Since the ROC curve is well above a diagonal line, you conclude that the model has good predictive ability.<br />

Example of Inverse Prediction Using the Crosshair Tool<br />

In a study of rabbits who were given penicillin, you want to know what dose of penicillin results in a 0.5<br />

probability of curing a rabbit. In this case, the inverse prediction for 0.5 is called the ED50, the effective<br />

dose corresponding to a 50% survival rate. Use the crosshair tool to visually approximate an inverse<br />

prediction.<br />

To see which value of In(dose) is equally likely either to cure or to be lethal, proceed as follows:<br />

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

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

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

4. Select In(Dose) <strong>and</strong> click X, Factor.<br />

Notice that JMP automatically fills in Count for Freq. Count was previously assigned the role of Freq.<br />

5. Click OK.<br />

6. Click on the crosshairs tool.<br />

7. Place the horizontal crosshair line at about 0.5 on the vertical (Response) probability axis.

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