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Table 4 Multivariate Marker Results: Three Markers are associated with Outcome

From: The impact of sample storage time on estimates of association in biomarker discovery studies

 

X1

X2

X3

true β

0.3

0.2

0.2

perc.change

0.150

0.20

0.10

b i

1

2

3

t = 0

0.3

0.202

0.2

se.emp

0.131

0.13

0.13

rel.bias

-0.001

0.012

0.002

rel.bias.sd

0.435

0.652

0.648

power

0.996

t = 5

0.279

0.199

0.184

se.emp

0.122

0.126

0.118

rel.bias

-0.068

-0.003

-0.078

rel.bias.sd

0.405

0.630

0.591

power

0.995

t = 10

0.261

0.169

0.182

se.emp

0.113

0.108

0.117

rel.bias

-0.131

-0.155

-0.090

rel.bias.sd

0.376

0.538

0.584

power

0.995

  1. Results for simulations based on a multivariate setting 10 with correlated markers, with 250 cases and 250 controls, μ = -3, and ρ = 0.5. The first three markers X1, X2, and X3 are associated with outcome. The power is calculated as the number of rejected null hypotheses over all simulations. Function b1 corresponds to a linear change, b2 exponential change and b3 logarithmic change in marker levels over time.