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. 2023 May 10;381:e073800. doi: 10.1136/bmj-2022-073800

Table 3.

Random effects meta-regression of relative contributions of regional variation in age, body mass index, deprivation, and non-white ethnicity on inter-regional differences in performance metrics after internal-external cross validation

Performance metric and variables Cox model Competing risks model XGBoost Neural network
I2 (%) R2 (%) I2 (%) R2 (%) I2 (%) R2 (%) I2 (%) R2 (%)
Harrell’s C index
Age (SD) 43.06 0.00 41.45 9.54 17.64 0.00 43.68 8.05
BMI (SD) 45.72 0.00 47.96 0.00 16.78 0.00 49.16 0.00
Mean Townsend deprivation score 44.28 0.00 46.25 0.00 15.87 3.34 48.29 0.00
Non-white ethnicity (%) 45.47 0.00 42.34 11.02 17.65 0.00 25.67 61.11
All 4 variables 53.14 0.00 41.33 8.63 16.43 0.88 30.40 48.25
Calibration slope
Age (SD) 35.45 0.00 70.04 26.09 66.44 23.58 89.29 28.95
BMI (SD) 35.93 0.00 77.14 0.00 74.72 0.00 93.20 0.00
Mean Townsend deprivation score 35.90 0.00 73.63 12.05 72.33 0.00 93.16 0.00
Non-white ethnicity (%) 34.21 0.00 58.49 55.77 56.06 51.91 87.07 42.31
All 4 variables 42.35 0.00 56.68 60.08 50.18 61.97 67.78 80.06

BMI=body mass index; SD=standard deviation.

I2=residual heterogeneity; R2=amount of residual heterogeneity accounted for.