. Author manuscript; available in PMC: 2017 Mar 15.

Published in final edited form as: Biometrics. 2016 Mar 21;72(4):1017–1025. doi: 10.1111/biom.12511

Table 2.

Empirical size and power for different methods, under various sample size, number of predictors, and correlation among predictors, with binary outcome.

			size		nonlinear		linear

		method	n=500	n=1000	n=500	n=1000	n=500	n=1000
℘=0.2	p=5	Wald	0.046	0.053	0.217	0.440	0.549	0.891
		k_L	0.046	0.051	0.258	0.467	0.615	0.895
		k_Q	0.047	0.052	0.573	0.936	0.631	0.904
		k_G	0.051	0.051	0.560	0.943	0.615	0.894
		Omnibus	0.051	0.052	0.587	0.952	0.628	0.906

	p=20	Wald	0.025	0.033	0.095	0.209	0.220	0.590
		k_L	0.050	0.053	0.224	0.361	0.481	0.787
		k_Q	0.048	0.049	0.500	0.768	0.444	0.786
		k_G	0.051	0.055	0.338	0.576	0.486	0.796
		Omnibus	0.050	0.049	0.430	0.722	0.458	0.791

℘=0.5	p=5	Wald	0.045	0.055	0.542	0.889	0.622	0.936
		k_L	0.053	0.051	0.784	0.966	0.683	0.931
		k_Q	0.056	0.053	0.933	1.000	0.645	0.911
		k_G	0.055	0.054	0.856	0.997	0.714	0.944
		Omnibus	0.057	0.052	0.910	0.999	0.693	0.935

	p=20	Wald	0.027	0.035	0.228	0.595	0.229	0.666
		k_L	0.050	0.052	0.720	0.951	0.608	0.883
		k_Q	0.053	0.055	0.813	0.985	0.561	0.851
		k_G	0.050	0.052	0.731	0.960	0.634	0.906
		Omnibus	0.051	0.053	0.793	0.982	0.599	0.882