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Biostatistics

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11.4 LOGISTIC REGRESSION 579<br />

Model Summary<br />

Cox & Snell R<br />

Nagelkerke R<br />

Square<br />

Square<br />

.037 .051<br />

Classification Table a<br />

att<br />

Predicted<br />

Percentage<br />

Observed<br />

0 1<br />

Correct<br />

att 0<br />

1<br />

111<br />

58<br />

Overall Percentage<br />

10<br />

5<br />

91.7<br />

7.9<br />

63.0<br />

FIGURE 11.4.5<br />

11.4.2.<br />

Partial SPSS output for the logistic regression analysis of the data in Example<br />

reclassified, with those participating in the rehabilitation program much more poorly classified<br />

than those who did not attend the program. The frequency distribution shows the large<br />

number of ATT ¼ 1 subjects who were misclassified as ATT ¼ 0 based on the model. &<br />

EXAMPLE 11.4.5<br />

Consider the logistic regression model that was constructed from the cardiac rehabilitation<br />

program data in Example 11.4.3.<br />

Figure 11.4.6 shows standard SPSS output for this logistic regression model. In this<br />

figure, we see that both the Cox and Snell and the Nagelkerke pseudo-R 2 values are provided,<br />

and since they are both > 0, the model with the predictors provides more information than<br />

the intercept-only model. One can readily see that only 69% of the data were correctly<br />

reclassified, with the model reclassifying those with onset of excessive alcohol use at a much

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