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. Author manuscript; available in PMC: 2020 Feb 10.
Published in final edited form as: Stat Med. 2018 Nov 22;38(3):437–451. doi: 10.1002/sim.7986

TABLE 1. Binary matching variable:

Estimates of AUC (weighted and unweighted) comparing logistic regression regression (LR), conditional logistic regression (CLR) and proposed methods (Two-stage and Simultaneous). 95% confidence intervals (CI) for true AUC are based on the 2.5th and 97.5th percentiles of AUC estimates from 500 simulated datasets. Coverage probabilities are associated with 95% CIs obtained using proposed, bootstrap methods based on weighted AUC estimates. Results are averages of 500 simulated datasets, each of n = 200 matched case control pairs and where δ = 0

Model γ AUC AU^C [95% CI] Coverage Probability
Unweighted Weighted
LR 0 0.64 0.64 [0.58 – 0.69] 0.64 [0.58 – 0.69] 0.99
CLR 0 0.64 0.64 [0.58 – 0.69] 0.64 [0.58 – 0.69] 0.99
Two-stage 0 0.64 0.64 [0.58 – 0.69] 0.64 [0.59 – 0.69] 0.99
Simultaneous 0 0.64 0.64 [0.58 – 0.69] 0.64 [0.59 – 0.69] 0.99
LR 0.25 0.64 0.64 [0.58 – 0.69] 0.64 [0.58 – 0.69] 0.99
CLR 0.25 0.64 0.64 [0.58 – 0.69] 0.64 [0.58 – 0.69] 0.98
Two-stage 0.25 0.64 0.63 [0.57 – 0.69] 0.64 [0.58 – 0.69] 0.99
Simultaneous 0.25 0.64 0.63 [0.57 – 0.69] 0.64 [0.58 – 0.69] 0.99
LR 0.50 0.65 0.64 [0.58 – 0.69] 0.64 [0.58 – 0.70] 0.94
CLR 0.50 0.65 0.64 [0.58 – 0.69] 0.64 [0.58 – 0.69] 0.93
Two-stage 0.50 0.65 0.62 [0.56 – 0.68] 0.65 [0.60 – 0.71] 0.99
Simultaneous 0.50 0.65 0.62 [0.56 – 0.68] 0.65 [0.60 – 0.71] 0.99
LR 0.75 0.67 0.63 [0.58 – 0.68] 0.63 [0.58 – 0.69] 0.82
CLR 0.75 0.67 0.63 [0.58 – 0.68] 0.63 [0.58 – 0.68] 0.81
Two-stage 0.75 0.67 0.61 [0.55 – 0.67] 0.67 [0.62 – 0.71] 0.99
Simultaneous 0.75 0.67 0.61 [0.55 – 0.67] 0.67 [0.62 – 0.71] 0.99