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. Author manuscript; available in PMC: 2017 Feb 8.
Published in final edited form as: Stat Med. 2016 Jun 20;35(24):4352–4367. doi: 10.1002/sim.7008

Table 2.

Prostate cancer results related to comparisons (one-tailed p-values) using the kernel-based approach (left) and the Box-Cox approach (right). Comparisons for scenario (1) are considered for FPR values of 0.05, 0.10 and 0.20. Comparisons for scenarios (2) and (3) are considered for TPRs=0.80, 0.85 and 0.95.

Kernel-based Box-Cox
Scenario (1) TPRs: 0.80 0.85 0.95 TPRs: 0.80 0.85 0.95
FPRs (PSA): 0.5895 0.6768 0.8648 FPRs (PSA): 0.6003 0.7072 0.9272
FPRs (model): 0.4024 0.4749 0.6897 FPRs (model): 0.3697 0.4419 0.6687
p-values: < 0.0001 0.0003 0.0003 p-values: < 0.0001 < 0.0001 < 0.0001

Scenario (2) TPRs: 0.80 0.85 0.95 TPRs: 0.80 0.85 0.95
FPRs (PSA): 0.5564 0.6422 0.8324 FPRs (PSA): 0.5513 0.6511 0.8846
FPRs (model): 0.2836 0.3586 0.5993 FPRs (model): 0.2481 0.3173 0.5654
p-values: < 0.0001 < 0.0001 < 0.0001 p – values: < 0.0001 < 0.0001 < 0.0001

Scenario (3) FPRs: 0.05 0.10 0.20 FPRs: 0.05 0.10 0.20
TPRs (PSA): 0.1446 0.2339 0.3930 TPRs (PSA): 0.1780 0.2797 0.4312
TPRs (model): 0.3837 0.5141 0.6724 TPRs (model): 0.3951 0.5381 0.7031
p-values: < 0.0001 < 0.0001 < 0.0001 p-values: < 0.0001 < 0.0001 < 0.0001

Scenario (1): Diseased defined by Gleason score ≥7. Healthy defined by Gleason score < 7.

Scenario (2): Diseased defined by Gleason score ≥7. Healthy defined by negative biopsy (Gleason score = 0).

Scenario (3): Diseased defined by Gleason score >0. Healthy defined by negative biopsy (Gleason score = 0).