Table 1.

Estimated type I error rates at $\alpha =0.05$ and $\alpha =0.01$ and power at $q=0.1$ for the simulation study detailed in Section 3.2.2

	Type I Error Rate		Power (q=0.1)
Method	$\alpha =0.05$	$\alpha =0.01$	Model 1	Model 2
One step	0.051	0.010	0.019	0.061
Screening testing, marginal assoc. filter	0.052	0.011	0.381	0.244
Screening testing, gene‐env. correl. filter	0.051	0.010	0.000	0.590
SPUR, marginal assoc. filter	0.062	0.013	0.697	0.312
SPUR, gene‐env. correl. filter	0.057	0.012	0.000	0.665
SPUR, hierarchical FDR	NAa	NAa	0.659	0.636
SPUR, global	NAa	NAa	0.903	0.828

^aThese SPUR variants reflect the results from FDR or hierarchical FDR control so lack comparable type I error control values.