Table 2. Estimated Net Benefit (NB) of the 5 Models Over a Range of Decision Thresholds and Risk Horizons in the Prospective Validation Sample.
Decision thresholda | % | ||||||||
---|---|---|---|---|---|---|---|---|---|
12 mo | 6 mo | 3 mo | |||||||
Total sample | True-positives | Standardized NB | Total sample | True-positives | Standardized NB | Total sample | True-positives | Standardized NB | |
150/100 000 | |||||||||
Treat all patients | 100 | 100 | 42.9 | 100 | 100 | 8.3 | 100 | 100 | −52.9 |
Lasso model | 60.5b | 83.0b | 48.4b | 60.5b | 84.9b | 29.5b | 60.5b | 82.3b | −10.1b |
Base model | 35.2 | 69.2 | 49.2 | 35.2 | 72.2 | 40.1 | 29.9b | 71.4b | 25.9b |
NLP model | 30.4 | 61.8 | 44.5 | 30.4 | 61.2 | 33.4 | 30.4 | 62.6 | 16.2 |
SDOH model | 100b | 100b | 42.9b | 23.8 | 56.7 | 35.0 | 23.8 | 60.5 | 24.2 |
Combined model | 100b | 100b | 42.9b | 17.6 | 51.8 | 35.8 | 17.6 | 52.4 | 25.5 |
200/100 000 | |||||||||
Treat all patients | 100 | 100 | 23.8 | 100 | 100 | −22.3 | 100 | 100 | −103.9 |
Lasso model | 60.6 | 83.0 | 36.8 | 36.2b | 56.3b | 12.2b | 36.2b | 54.4b | −19.3b |
Base model | 29.4 | 61.8 | 39.5 | 29.4 | 65.3 | 29.4 | 17.9b | 49.0b | 12.5b |
NLP model | 30.4 | 61.8 | 38.8 | 30.4 | 61.2 | 24.2 | 30.4 | 62.6 | 0.7 |
SDOH model | 23.0 | 53.4 | 36.0 | 23.0 | 56.3 | 28.3 | 23.0 | 59.9 | 13.0 |
Combined model | 40.7b | 75.6b | 44.7b | 17.6 | 51.8 | 30.4 | 17.6 | 52.4 | 16.6 |
300/100 000 | |||||||||
Treat all patients | 100 | 100 | −14.3 | 100 | 100 | −83.6 | 100 | 100 | −206.2 |
Lasso model | 15.8b | 35.1b | 17.1b | 15.4 | 33.9 | 5.6 | 15.4 | 32.0 | −15.3 |
Base model | 10.1 | 30.0 | 18.5 | 10.1 | 34.3 | 15.8 | 10.1 | 35.4 | 4.5 |
NLP model | 17.3 | 42.5 | 22.8 | 6.7b | 28.2b | 15.9b | 6.7b | 29.9b | 9.4b |
SDOH model | 18.9 | 46.3 | 24.8 | 18.9 | 49.4 | 14.9 | 1.1b | 10.2b | 6.8b |
Combined model | 12.1 | 40.2 | 26.5 | 12.1 | 41.6 | 19.6 | 4.8b | 25.2b | 10.5b |
400/100 000 | |||||||||
Treat all patients | 100 | 100 | −52.6 | 100 | 100 | −145.1 | 100 | 100 | −308.7 |
Lasso model | 7.4b | 18.6b | 7.3b | 7.4b | 17.1b | −1.0b | 7.4b | 17.7b | −12.6b |
Base model | 10.1 | 30.0 | 14.7 | 10.1 | 34.3 | 9.6 | 6.1b | 23.1b | −1.6b |
NLP model | 17.3 | 42.5 | 16.2 | 1.0b | 7.3b | 4.9b | 1.0b | 7.5b | 3.4b |
SDOH model | 11.1 | 32.1 | 15.2 | 11.1 | 36.7 | 9.6 | 0.8b | 8.2b | 4.8b |
Combined model | 12.1 | 40.2 | 21.9 | 12.1 | 41.6 | 12.2 | 1.9b | 12.2b | 4.4b |
500/100 000 | |||||||||
Treat all patients | 100 | 100 | −91.0 | 100 | 100 | −206.6 | 100 | 100 | −411.4 |
Lasso model | 4.7b | 12.2b | 3.3b | 3.7 | 8.6 | −2.8 | 3.7 | 8.8 | −10.1 |
Base model | 9.9 | 29.5 | 10.8 | 4.3b | 18.4b | 5.2b | 4.3b | 19.0b | −2.9b |
NLP model | 11.6 | 33.1 | 11.0 | 0.5b | 3.3b | 1.8b | 0.5b | 3.4b | 1.0b |
SDOH model | 11.1 | 32.1 | 10.9 | 0.7b | 6.9b | 4.7b | 0.7b | 6.8b | 3.1b |
Combined model | 4.4 | 22.9 | 14.6 | 4.4 | 23.7 | 10.3 | 1.3b | 8.2b | 1.6b |
Abbreviations: NLP, natural language processing; SDOH, social determinants of health.
For each decision threshold, the assumption is that the decision to implement a preventive intervention would be made only with patients who had a predicted risk above the threshold. See the eMethods in Supplement 1 for a discussion.
Logistic calibration. All others were isotonic calibration.