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. Author manuscript; available in PMC: 2022 Jan 1.
Published in final edited form as: J Biomed Inform. 2020 Dec 3;113:103652. doi: 10.1016/j.jbi.2020.103652

TABLE 4b.

Model estimates, predictive diagnostics, and relative contribution of PheRS in the presence of covariates in MGI.

Model
Covariates only Covariates + risk factors PRS only PRS + covariates + risk factors PheRS only PheRS + covariates + risk factors PheRS + PRS only PheRS, PRS, covariates + risk factors
0 PheRS Odds Ratio - - - - 7.58 7.70 7.57 7.69
95% CI - - - - 6.01, 9.75 6.08, 9.97 6.00, 9.76 6.06, 9.97
PRS Odds Ratio - - 1.59 1.59 - - 1.51 1.47
95% CI - - 1.14, 2.24 1.13, 2.25 - - 0.94, 2.43 0.90, 2.39
Diagnostics AUC 0.557 0.609 0.555 0.619 0.852 0.885 0.864 0.887
AUC 95% CI 0.520, 0.594 0.573, 0.645 0.517, 0.593 0.583, 0.655 0.827, 0.876 0.862, 0.908 0.838, 0.891 0.865, 0.910
HL Stat (P-value) 3.59 (8.92E-01) 8.28 (4.06E-01) 12.59 (1.27E-01) 4.09 (8.49E-01) 0.78 (1.00E+00) 12.63 (1.25E-01) 9.97 (2.67E-01) 16.05 (4.17E-02)
Brier Score 0.22870 0.22330 0.22890 0.22150 0.11600 0.11290 0.11630 0.1130

1 PheRS Odds Ratio - - - - 3.68 3.74 3.69 3.75
95% CI - - - - 2.72, 5.21 2.74, 5.35 2.72, 5.22 2.75, 5.36
PRS Odds Ratio - - 1.11 1.19 - - 1.18 1.23
95% CI - - 0.70, 1.77 0.74, 1.92 - - 0.71, 1.95 0.73, 2.09
Diagnostics AUC 0.575 0.604 0.524 0.606 0.717 0.755 0.730 0.758
AUC 95% CI 0.525, 0.624 0.556, 0.652 0.473, 0.575 0.557, 0.654 0.678, 0.755 0.713, 0.798 0.686, 0.774 0.716, 0.800
HL Stat (P-value) 9.25 (3.22E-01) 11.34 (1.83E-01) 18.77 (1.62E-02) 14.04 (8.07E-02) 2.16 (9.76E-01) 6.95 (5.43E-01) 10.07 (2.60E-01) 5.48 (7.06E-01)
Brier Score 0.22060 0.21820 0.22430 0.21790 0.18100 0.17590 0.18070 0.17560

2 PheRS Odds Ratio - - - - 3.62 3.68 3.72 3.79
95% CI - - - - 2.63, 5.17 2.66, 5.29 2.70, 5.35 2.73, 5.50
PRS Odds Ratio - - 1.21 1.32 - - 1.55 1.67
95% CI - - 0.74, 1.97 0.80, 2.20 - - 0.91, 2.65 0.96, 2.91
Diagnostics AUC 0.576 0.609 0.530 0.611 0.704 0.744 0.729 0.750
AUC 95% CI 0.523, 0.628 0.558, 0.661 0.476, 0.584 0.560, 0.663 0.663, 0.746 0.699, 0.789 0.682, 0.775 0.705, 0.795
HL Stat (P-value) 13.21 (1.05E-01) 9.96 (2.68E-01) 14.98 (5.96E-01) 11.59 (1.70E-01) 4.31 (8.28E-01) 17.37 (2.65E-02) 12.29 (1.39E-01) 8.32 (4.03E-01)
Brier Score 0.21980 0.21660 0.22370 0.21610 0.18720 0.18140 0.18570 0.17940

5 PheRS Odds Ratio - - - - 5.62 5.65 5.60 5.59
95% CI - - - - 3.42, 10.60 3.43, 10.70 3.41, 10.60 3.39, 10.50
PRS Odds Ratio - - 1.52 1.70 - - 1.61 1.81
95% CI - - 0.87, 2.68 0.95, 3.09 - - 0.85, 3.06 0.93, 3.57
Diagnostics AUC 0.575 0.621 0.552 0.629 0.697 0.766 0.728 0.774
AUC 95% CI 0.514, 0.636 0.562, 0.679 0.488, 0.615 0.571, 0.687 0.655, 0.739 0.715, 0.816 0.672, 0.784 0.725, 0.824
HL Stat (P-value) 8.30 (4.04E-01) 7.45 (4.89E-01) 6.79 (5.60E-01) 9.40 (3.10E-01) 1.64 (9.90E-01) 8.00 (4.34E-01) 12.84 (1.18E-01) 13.81 (8.68E-01)
Brier Score 0.22020 0.21500 0.22230 0.21350 0.17330 0.16790 0.17180 0.16670

Abbreviations: AUC, area under the receiver-operator characteristics curve; CI, confidence interval; HL, Hosmer-Lemeshow Chi-Square test; PheRS, phenotype risk score; PRS, polygenic risk score.

Notes: Variable estimates come from a logistic GLM model. PheRS constructed using multivariate betas obtained in MGI and applied to time-restricted, matched MGI data. Diagnostic results are obtained on using the fitted values from the corresponding model. The covariates used are sex, age at time threshold, genotyping batch, and the first four principal components from the genotype data. The risk factors are BMI (continuous), drinker (ever/never), and smoker (ever/never).