Table 3 Type I error rates of four tests based on simulation set 1 for quantitative traits.

Number of Subpopulations	Test	Alpha	Un-corrected	GC	PC-linear	PC-nonp
2	Single Variant	0.01	0.1516	0.00414	0.01026	0.01038
	Single Variant	0.001	0.05998	0.00032	0.00108	0.001
	Regional	0.01	0.258	0.0081	0.00995	0.00925
	Regional	0.001	0.1489	0.0004	0.00115	0.00095
10	Single Variant	0.01	0.0503	0.01498	0.01096	0.01068
	Single Variant	0.001	0.01606	0.0026	0.0012	0.00108
	Regional	0.01	0.0549	0.0101	0.0107	0.0102
	Regional	0.001	0.0139	0.00085	0.0008	0.001
20	Single Variant	0.01	0.04896	0.02602	0.04234	0.01004
	Single Variant	0.001	0.0214	0.0102	0.01632	0.00082
	Regional	0.01	0.0488	0.01285	0.0391	0.011
	Regional	0.001	0.0137	0.00255	0.0096	0.00075

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