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Factor-specific decomposition of mortality predictions produced individualized profiles that varied by population and
Eytan Ellenberg1, Nathan Ellenberg2, Nadav Davidovitch3
1Office of Medical Affairs, National Insurance Institute of Israel, Jerusalem, Israel; SISESC, Stanford Israeli Sleep Epidemiology Satellite Center, Jerusalem, Israel.
Objective:
To examine whether aggregate all-cause mortality predictions from additive Cox models can be represented as individualized profiles of four prespecified factor contributions, and to assess variation by population, follow-up interval, and acute-severity adjustment.
Study Design And Setting:
Retrospective analyses used NHANES 1999-2018 linked mortality data and MIMIC-IV v2.2. Separate Cox models included diabetes, hypertension, current smoking, obesity, age, and sex. Fixed-reference Shapley values decomposed the four-factor portion of the fitted log relative hazard; dominant meant the largest strictly positive contribution. MIMIC chronic factors incorporated index-hospitalization discharge diagnoses, and OASIS used data through 24 hours after ICU admission; these analyses retrospectively explained fitted models rather than admission-time prediction. Only C underwent bootstrap optimism correction; calibration and Brier metrics were apparent.
Results:
NHANES included 48,390 adults and 7,265 deaths; optimism-corrected C was 0.8525. Smoking had the largest mean contribution (0.1562), whereas hypertension was the most frequent positive dominant factor (25.12%); 29.50% were none-positive. MIMIC-IV included 50,917 first adult ICU stays and 9,010 deaths by 90 days; corrected C was 0.6556. Diabetes was dominant for 27.67%, and 72.33% were none-positive. OASIS increased corrected C to 0.7384; no chronic factor contributed positively in the pooled model. In an interval-specific sensitivity among patients still at risk after day 30, diabetes was positively associated during days 31-90. Fixed-reference Shapley values equalled conventional decomposition of the additive Cox linear predictor.
Conclusion:
Individual factor profiles described the composition of existing mortality predictions and were conditional on cohort, follow-up interval, and adjustment. They did not identify causal effects or treatment priorities.
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