TABLE 3.

Empirical power estimates for our proposed test and O'Brien's OLS test

		n = 3			n = 10
m	$\delta$	OLS	${\varphi }_{0.80}$	${\varphi }_{0.90}$	OLS	${\varphi }_{0.80}$	${\varphi }_{0.90}$
6	0.50	0.118	0.099	0.167	0.832	0.210	0.362
	±0.50	0.031	0.107	0.165	0.050	0.220	0.367
	Stagger	0.065	0.053	0.090	0.478	0.097	0.175
	±Stagger	0.037	0.054	0.092	0.190	0.091	0.167
26	0.50	0.196	0.210	0.465	0.999	0.624	0.902
	±0.50	0.031	0.206	0.461	0.049	0.628	0.910
	Stagger	0.084	0.047	0.154	0.853	0.168	0.408
	±Stagger	0.047	0.047	0.015	0.368	0.165	0.410
50	0.50	0.269	0.303	0.704	1	0.850	0.989
	±0.50	0.031	0.310	0.696	0.051	0.855	0.990
	Stagger	0.122	0.043	0.210	0.977	0.226	0.611
	±Stagger	0.061	0.043	0.191	0.545	0.233	0.600
		n = 20			n = 50
m	$\delta$	OLS	${\varphi }_{0.80}$	${\varphi }_{0.90}$	OLS	${\varphi }_{0.80}$	${\varphi }_{0.90}$
6	0.50	0.95	0.30	0.52	0.999	0.392	0.631
	±0.50	0.05	0.316	0.517	0.211	0.379	0.635
	Stagger	0.777	0.151	0.255	0.954	0.231	0.379
	±Stagger	0.308	0.147	0.253	0.5217	0.226	0.270
26	0.50	1	0.842	0.985	1	0.942	0.999
	±0.50	0.055	0.835	0.987	0.061	0.997	1
	Stagger	0.988	0.320	0.626	1	0.581	0.894
	±Stagger	0.657	0.335	0.638	0.937	0.582	0.893
50	0.50	1	0.975	0.999	1	0.997	1
	±0.50	0.057	0.977	0.999	0.058	0.997	1
	Stagger	1	0.485	0.862	1	0.815	0.988
	±Stagger	0.845	0.483	0.871	0.994	0.820	0.991

Abbreviation: OLS, ordinary least squares.