Table 4.

Multivariate Marker Results: Three Markers are associated with Outcome

	X1	X2	X3
true β	0.3	0.2	0.2
perc.change	0.150	0.20	0.10
bi	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

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.