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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)