Improving the Estimation of Prediction Increment Measures in Logistic and Survival Analysis

Danielle M Enserro,Austin Miller

Published 2025 in Cancers

ABSTRACT

Simple Summary Confidence interval estimation of discrimination improvement measures, including the area under the receiver operating characteristic curve, the net reclassification index, and the integrated discrimination improvement, is an area of ongoing research. The most common confidence interval estimation methods employ normal theory. Literature suggests that degeneration of the normal assumption under the null hypothesis exists, and normal theory confidence intervals estimated may be invalid. Bootstrapped confidence intervals do not rely on normal theory assumptions. We examine the performance of discrimination improvement measures in both the logistic and survival regression context through simulation. Normal theory intervals are only appropriate with a strong effect size of the added parameter, and the percentile bootstrap interval exhibits reasonable coverage while maintaining the shortest width in nearly all simulated scenarios, making this interval the most reliable choice. The intent is that these recommendations improve the accuracy in the estimation and the overall assessment of discrimination improvement.

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