Table 1 User-selected mean and covariance matrix parameters for the normal distributions in simulating the joint distributions of 16 biomarkers
From: On the assessment of the added value of new predictive biomarkers
Null hypothesis | Alternative hypothesis | ||
|---|---|---|---|
Negative class | Mean | [ 0,…,0]1×16 | [ 0,…,0]1×16 |
Cov | Identity I 16×16 | Identity I 16×16 | |
Positive class | Mean | [ 0.7,0.6,0.6,0.5,0.5,0.3,0.3,0.2,… | [ 0.7,0.6,0.6,0.5,0.5,0.3,0.3,0.2,… |
0.2,0.1,0.1,0.1,0,0,0,0] | 0.2,0.1,0.1,0.1,0,0,0,0.6] | ||
Cov | Identity I 16×16 | Identity I 16×16 | |
Ideal AUCs for LDF | 0.8413 (15 biomarkers) vs. | 0.8413 (15 biomarkers) vs. | |
0.8413 (16 biomarkers) | 0.8613 (16 biomarkers) | ||