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View PDF Version - RePub - Erasmus Universiteit Rotterdam

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Dynamic prediction of response using longitudinal profi les 97<br />

to use in clinical practice and to extend the logistic regression with the dynamic<br />

model fit can easily be incorporated. No extra statistical computational work has to<br />

be done, but inserting the new observed markers in the estimated prediction model.<br />

For this reason the method has a strong clinical applicability.<br />

To compare the predictive performance of the different approaches the aspects of<br />

discrimination and calibration are studied. 11 The c-statistics for each week and for<br />

each method is plotted in figure 5 together with the results of the baseline model<br />

using only PI. Past week 16 an increase of the c-statistics is observed, suggesting<br />

that beyond baseline prediction at least 16 weeks of treatment is necessary before<br />

an early update of prediction of response is sensible. The best discriminative ability<br />

for this data was observed with the direct approaches. The calibration slope11 for<br />

each week are depicted in figure 6. The indirect methods all have suffers from<br />

severe calibration problems. The predictors behave more like classifiers and are<br />

overconfident. The direct methods perform well with a calibration slope close to<br />

one, with a little overfitting for the direct approach with the observed markers mainly<br />

before week 16.<br />

Figure 5. The AUC (c-statistics) for the different methods by visit week.

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